• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

AWATA Hidetoshi  粟田 英資

ORCIDConnect your ORCID iD *help
… Alternative Names

粟田 英資  アワタ ヒデトシ

粟田 英俊  アワタ ヒデトシ

Less
Researcher Number 40314059
Other IDs
Affiliation (Current) 2025: 名古屋大学, 多元数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help 2012 – 2021: 名古屋大学, 多元数理科学研究科, 准教授
2015: 名古屋大学, 大学院多元数理科学研究科, 准教授
2007: 名古屋大学, 大学院・多元数理科学研究科, 准教授
2006: Nagoya University, Graduate School of Mathematics, Associate Professor
2005 – 2006: 名古屋大学, 大学院多元数理科学研究科, 助教授
2000 – 2005: 名古屋大学, 大学院・多元数理科学研究科, 助教授
Review Section/Research Field
Principal Investigator
Basic analysis / Global analysis / 素粒子・核・宇宙線
Except Principal Investigator
Geometry / Particle/Nuclear/Cosmic ray/Astro physics / Science and Engineering / Geometry / Algebra
Keywords
Principal Investigator
ディン・庵原・三木代数 / 共形場理論 / 素粒子論 / 代数学 / 数理物理学 / DAHA / 量子トロイダル代数 / AGT 予想 / Nekrasov分配関数 / AGT予想 … More / ヴィラソロ代数 / AGT対応 / ネクラソフ分配関数 / ビラソロ代数 / サイバーグ・ウイッテン / 低エネルギー有効理論 / 超対称ゲージ理論 / 非臨界弦 / タキオン凝縮 / ディリクレ膜 / 行列理論 / 南部括弧 / 行列模型 / 楕円 Hecke 環 / Seiberg-Witten 理論 / E-string / 超弦理論 … More
Except Principal Investigator
頂点作用素代数 / 共形場理論 / 共形ブロック / 場の量子論 / Nekrasov's formula / M-theory / M理論 / vertex operator algebra / conformal field theory / E_8^<(1)>単純楕円特異点 / 有利楕円曲面の周期 / 原始型式 / 対合をもつ楕円K-3曲面 / Quasi-finite代数 / Whittaker ベクトル / インスタントン分配関数 / モノポールウォール / ハイパーケーラー計量 / 面欠陥作用素 / 面作用素 / 超共形指数 / ゲージ理論・ベーテ仮説対応 / 行列模型 / ネクラソフ関数 / 超対称ゲージ理論 / AGT 関係式 / quantum field theory / conformal block / A_8-Jacobi型式 / W_n-代数 / Fusion関手 / ZhuのC_2条件 / Gopakumar-Vafa invariants / Gromov-Witten invariants / Calabi-Yau manifolds / Kaehler manifolds / superstring / supermembrane / Kajler manifold / 南部括弧 / 楕円Hecke環 / Seiberg-Witten理論 / 行列モデル / 量子変形 / Kahler manifold / Calabi-Yau / 保型関数 / Topological field theory / Jacobi ring / Calabi-Yau manifold / Hirzebrush surface / Whitham deformation / Gopakumar-Vafa invariant / Dijkgraaf-Vafa proposal / Gromov-Witten invariant / topological field theory / K3 fibre / D-branes / Hirzebrush曲面 / Green-Schwarz formulation / string theory / ネクラソフの公式 / Gopakumar-Vafa不変量 / Gromov-Witten不変量 / Calabi-Yau多様体 / Kaehler多様体 / 超弦理論 / 超膜理論 / Instanton / Local Mirror Symmetry / Supersymmetry / Special Holonomy / 極小曲面 / 重力インスタントン / 例外ホロノミー群 / インスタントン / 局所ミラー対称性 / 超対称性 / 特殊ホロノミー群 / E_8^<(1)> type simple elliptic singulations / period of rational elliptic surface / primitive form / E_8 type elliptic Weyl group / N=2 Virasoro代数 / 有理楕円曲面のMordell-Weil Lattice / Seiberg-Witten微分 / 有理楕円曲面の周期理論 / 楕円型Weyl群 / 楕円型リー環 / 有利楕円曲面の周期理論 / E_8型Elliptic Wey1群 / E_8型Elliptic Weyl群 / テンソル圏 / (2,10)型のIV型領域 / 導来圏の自己同型群 / E_8型楕円Artin群 / 導来圏の安定性条件 / 向井ベクトル Less
  • Research Projects

    (10 results)
  • Research Products

    (33 results)
  • Co-Researchers

    (14 People)
  •  Analysis of Infinite dimensional algebras and quantum field theories and their applicationsPrincipal Investigator

    • Principal Investigator
      Awata Hidetoshi
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  Analysis of infinite dimensional algebras and quantum field theories and application to the mathematical sciencePrincipal Investigator

    • Principal Investigator
      Awata Hidetoshi
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Nagoya University
  •  M-brain and quantum integrable system

    • Principal Investigator
      Kanno Hiroaki
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Particle/Nuclear/Cosmic ray/Astro physics
    • Research Institution
      Nagoya University
  •  On the study of two dimensional quantum field theory by the methodof representation theory

    • Principal Investigator
      TSUCHIYA Akihiro
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
      Nagoya University
  •  共形場理論による量子的周期理論の展開

    • Principal Investigator
      TSUCHIYA Akihiro
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Representation Theoretic Study of Two Dimensional Quantum Field Theory

    • Principal Investigator
      TSUCHIYA Akihiro
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Analysis of algebraic and geometrical structure in superstring theory

    • Principal Investigator
      UEHARA Shozo
    • Project Period (FY)
      2001 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Review Section
      Science and Engineering
    • Research Institution
      Utsunomiya University
      Nagoya University
  •  量子場の理論の解析とその数理物理への応用Principal Investigator

    • Principal Investigator
      粟田 英資
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      素粒子・核・宇宙線
    • Research Institution
      Nagoya University
  •  Special'Holonomy Group and Supersymmetric Cycle

    • Principal Investigator
      KANNO Hiroaki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
      Hiroshima University
  •  Representation Theoretic Study of Two Dimensional Quantum Field Theory

    • Principal Investigator
      TSUCHIYA Akihiro
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University

All 2020 2019 2018 2017 2016 2015 2014 2013 2012 2005

All Journal Article Presentation

  • [Journal Article] Shiraishi functor and non-Kerov deformation of Macdonald polynomials2020

    • Author(s)
      Awata Hidetoshi、Kanno Hiroaki、Mironov Andrei、Morozov Alexei
    • Journal Title

      The European Physical Journal C

      Volume: 80 Issue: 10 Pages: 994-994

    • DOI

      10.1140/epjc/s10052-020-08540-4

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05275, KAKENHI-PROJECT-18K03274
  • [Journal Article] On a complete solution of the quantum Dell system2020

    • Author(s)
      Awata Hidetoshi、Kanno Hiroaki、Mironov Andrei、Morozov Alexei
    • Journal Title

      Journal of High Energy Physics

      Volume: 2020 Issue: 4 Pages: 212-212

    • DOI

      10.1007/jhep04(2020)212

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05275, KAKENHI-PROJECT-18K03274
  • [Journal Article] Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function2020

    • Author(s)
      Awata Hidetoshi、Kanno Hiroaki、Mironov Andrei、Morozov Alexei
    • Journal Title

      Journal of High Energy Physics

      Volume: 2020 Issue: 8 Pages: 150-150

    • DOI

      10.1007/jhep08(2020)150

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05275, KAKENHI-PROJECT-18K03274
  • [Journal Article] The MacMahon R-matrix2019

    • Author(s)
      H.Awata, H.Kanno, A.Mironov, A.Morozov, K.Suetake and Y.Zenkevich
    • Journal Title

      Journal of High Energy Physics

      Volume: 04 Issue: 4 Pages: 97-97

    • DOI

      10.1007/jhep04(2019)097

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03274, KAKENHI-PROJECT-17K05275, KAKENHI-PROJECT-15H05738
  • [Journal Article] Can tangle calculus be applicable to hyper polynomials?2019

    • Author(s)
      H. Awata, H. Kanno, A.Mironov, Al. Morozov
    • Journal Title

      Nuclear Physics

      Volume: B949 Pages: 114816-114816

    • DOI

      10.1016/j.nuclphysb.2019.114816

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05275, KAKENHI-PROJECT-18K03274, KAKENHI-PROJECT-15H05738
  • [Journal Article] Nontorus link from topological vertex2018

    • Author(s)
      Awata Hidetoshi、Kanno Hiroaki、Mironov Andrei、Morozov Alexei、Morozov Andrey
    • Journal Title

      Physical Review D

      Volume: 98 Issue: 4 Pages: 046018-046018

    • DOI

      10.1103/physrevd.98.046018

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05275, KAKENHI-PROJECT-18K03274, KAKENHI-PROJECT-15H05738
  • [Journal Article] (q,t)-KZ Equations for quantum toroidal algebra and Nekrasov partition function on ALE spaces2018

    • Author(s)
      H.Awata, H.Kanno, A.Mironov, A.Morozov, K.Suetake and Y.Zenkevich
    • Journal Title

      JHEP

      Volume: 1803 Issue: 3 Pages: 192-192

    • DOI

      10.1007/jhep03(2018)192

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H05738, KAKENHI-PROJECT-17K05275
  • [Journal Article] Anomaly in RTT relation for DIM algebra and network matrix models2017

    • Author(s)
      Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov, Alexei Morozov, Andrey Morozov, Yusuke Ohkubo and Yegor Zenkevich
    • Journal Title

      Nuclear Physics B

      Volume: 918 Pages: 358-385

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Journal Article] Generalized Knizhnik-Zamolodchikov equation for Ding-Iohara-Miki algebra2017

    • Author(s)
      Awata Hidetoshi、Kanno Hiroaki、Mironov Andrei、Morozov Alexei、Morozov Andrey、Ohkubo Yusuke、Zenkevich Yegor
    • Journal Title

      Physical Review D

      Volume: 96 Issue: 2 Pages: 026021-026021

    • DOI

      10.1103/physrevd.96.026021

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05275, KAKENHI-PROJECT-15H05738
  • [Journal Article] Explicit examples of DIM constraints for network matrix models2016

    • Author(s)
      Hidetoshi Awata, Hiroaki Kanno, Takuya Matsumoto, Andrei Mironov, Alexei Morozov, Andrey Morozov, Yusuke Ohkubo and Yegor Zenkevich,
    • Journal Title

      Journal of High Energy Physics

      Volume: 07 Pages: 1-67

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Journal Article] Toric Calabi-Yau threefolds as quantum integrable systems. R-matrix and RTT relations2016

    • Author(s)
      Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov, Alexei Morozov, Andrey Morozov, Yusuke Ohkubo and Yegor Zenkevich
    • Journal Title

      Journal of High Energy Physics

      Volume: 10 Pages: 1-49

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Journal Article] The partition function of ABJ theory2013

    • Author(s)
      Hidetoshi Awata, Shinji Hirano and Masaki Shigemori
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 053B04

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Journal Article] The partition function of ABJ theory2013

    • Author(s)
      Hidetoshi Awata and Shinji Hirano and Masaki Shigemori
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 053 Issue: 5

    • DOI

      10.1093/ptep/ptt014

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Journal Article] Changing the preferred direction of the refined topological vertex2013

    • Author(s)
      Hidetoshi Awata and Hiroaki Kanno
    • Journal Title

      Journal of Geometry and Physics

      Volume: 64 Pages: 91110-91110

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Journal Article] Volume Conjecture: Refined and Categorified2013

    • Author(s)
      Hiroyuki Fuji, Sergei Gukov, Piotr Sułkowski, with an appendix by Hidetoshi Awata
    • Journal Title

      Adv. Theor. Math. Phys.

      Volume: 16 Pages: 1669-1777

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Journal Article] Localization with a Surface Operator, Irregular Conformal Blocks and Open Topological String2012

    • Author(s)
      Hidetoshi Awata, Hiroyuki Fuji, Hiroaki Kanno, Masahide Manabe and Yasuhiko Yamada
    • Journal Title

      Advances in Theoretical and Mathematical Physics

      Volume: 16

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Journal Article] Instant on Counting, Macdonald function and the moduli space of D-branes2005

    • Author(s)
      Awata, Hidetoshi, Hiroaki Kanno
    • Journal Title

      Journal of High Energy Physics 0505

      Pages: 39-39

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14204003
  • [Journal Article] Listanton counting, Macdnald function and the inodulispace of D-brans2005

    • Author(s)
      Awata, Hidetoshi, Hiroaki, Kanno
    • Journal Title

      Journal of High Energy Physios 0505

      Pages: 39-39

    • Data Source
      KAKENHI-PROJECT-14204003
  • [Journal Article] Instanton counting, Macdonald function and the modul i space of D-branes2005

    • Author(s)
      粟田英資, 菅野浩明
    • Journal Title

      Journal of High Energy Physics 05・039

      Pages: 1-26

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13135212
  • [Journal Article] Instanton counting, Macdonald function and the moduli space of D-branes2005

    • Author(s)
      H. Awata, H. Kanno
    • Journal Title

      Journal of High Energy Physics 05-039

      Pages: 1-26

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13135212
  • [Journal Article] Instanton counting, Macdonald function and the moduli space of D-branes.2005

    • Author(s)
      Hidetoshi Awata, Hiroaki Kanno
    • Journal Title

      Journal of High Energy Physics 05・039

      Pages: 1-26

    • Data Source
      KAKENHI-PROJECT-13135212
  • [Journal Article] Instanton counting, Macdonald function and the moduli space of D-branes2005

    • Author(s)
      Awata, Hidetoshi, Hiroaki Kanno
    • Journal Title

      Journal of High Energy Physics 0505

      Pages: 39-39

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14204003
  • [Presentation] 位相的頂点と丁・庵原・三木代数~菅野さんと歩んで17年~2020

    • Author(s)
      Awata Hidetoshi
    • Organizer
      Quantum Geometry in Gauge Theory and Strings, --多元数理ウェッビナー Kanno 60--, Nov. 21, 2020
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05275
  • [Presentation] On DIM algebra and 5D AGT correspondence2019

    • Author(s)
      Awata Hidetoshi
    • Organizer
      "Topological Field Theories, String theory and Matrix Models - 2019", August 26-31, 2019, ITEP
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05275
  • [Presentation] Quantum Toroidal algebra gl1 and AGT correspondence2019

    • Author(s)
      Awata Hidetoshi
    • Organizer
      "Workshop New Trends in Integrable Systems 2019", September 9-20, 2019, Osaka City Univ.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05275
  • [Presentation] On quantum toroidal algebras2018

    • Author(s)
      Awata Hidetoshi
    • Organizer
      Workshop and School "Topological Field Theories, String theory and Matrix Models - 2018"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05275
  • [Presentation] On intertwiners of quantum toroidal $U_{q,d}(\widehat{\widehat{gl_N}})$2017

    • Author(s)
      Hidetoshi Awata
    • Organizer
      Workshop and School "Topological Field Theories, String theory and Matrix Models" Lebedev Physics Institute, Moscow, RUSSIA 2017, August, 25--31(August, 30)
    • Data Source
      KAKENHI-PROJECT-17K05275
  • [Presentation] Ding-庵原-三木代数の表現論2017

    • Author(s)
      Hidetoshi Awata
    • Organizer
      日本数学会秋季分科会特別講演, 山形大学, 2017年9月12日
    • Data Source
      KAKENHI-PROJECT-17K05275
  • [Presentation] On the Ding-Iohara-Miki algebras2016

    • Author(s)
      Hidetoshi Awata
    • Organizer
      Workshop and School "Quantum Geometry, Duality and Matrix Models",August 26--26, 2016
    • Place of Presentation
      Lebedev Physics Institute, Moscow, RUSSIA
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Presentation] Ding-Iohara 代数のレベル2表現の結晶化2015

    • Author(s)
      粟田英資, 大久保勇輔, 藤野弘基
    • Organizer
      日本数学会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-13
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Presentation] On Five-dimensional AGT Relations2014

    • Author(s)
      Hidetoshi Awata
    • Organizer
      The Simons Center Program ``Gauge Theory, Integrability, and Novel Symmetries of Quantum Field Theory''
    • Place of Presentation
      The Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, U.S.A.
    • Year and Date
      2014-09-04
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Presentation] On AGT conjectures2013

    • Author(s)
      Hidetoshi Awata
    • Organizer
      Special lecture in Seoul university
    • Place of Presentation
      Physics department, Seoul university, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540210
  • [Presentation] Quantum Algebraic Approach to Refined Topological Vertex2012

    • Author(s)
      Hidetoshi Awata
    • Organizer
      The XXIX International Colloquium on Group-Theoretical Methods in Physics
    • Place of Presentation
      Chern Institute of Mathematics, Tianjin, China
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540210
  • 1.  KANNO Hiroaki (90211870)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 5 results
  • 2.  OHTA Hiroshi (50223839)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 3.  NAKANISHI Tomoli (80227842)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  TSUCHIYA Akihiro (90022673)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  HAYASHI Takahiro (60208618)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  KIMURA Yoshifumi (70169944)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  UMEHARA Masaaki (90193945)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  YASUI Yukinori (30191117)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  UEHARA Shozo (20168652)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  AOYAMA Shogo (10273161)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  KAWAI Toshiya (20293970)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  MORIYAMA Sanefumi (80402452)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  青本 和彦 (00011495)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  斎藤 義久 (20294522)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

URL: 

Are you sure that you want to link your ORCID iD to your KAKEN Researcher profile?
* This action can be performed only by the researcher himself/herself who is listed on the KAKEN Researcher’s page. Are you sure that this KAKEN Researcher’s page is your page?

この研究者とORCID iDの連携を行いますか?
※ この処理は、研究者本人だけが実行できます。

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi