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Collaboration of Mathematics and Physics for Superstring Compactifications

Research Project

Project/Area Number 21340109
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionThe University of Tokyo

Principal Investigator

HORI Kentaro  東京大学, カブリ数物連携宇宙研究機構, 特任教授 (30535042)

Co-Investigator(Renkei-kenkyūsha) EGUCHI Tohru  立教大学, 理学部, 特任教授 (20151970)
OOGURI Hirosi  東京大学, カブリ数物連携宇宙研究機構, 主任研究員 (20185234)
深谷 賢治  京都大学, 理学系研究科, 教授 (30165261)
斎藤 恭司  東京大学, カブリ数物連携宇宙研究機構, 特任教授 (20012445)
Project Period (FY) 2009-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥18,980,000 (Direct Cost: ¥14,600,000、Indirect Cost: ¥4,380,000)
Fiscal Year 2013: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2012: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2011: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2010: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2009: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Keywords数理物理 / 超弦理論 / 素粒子論 / 幾何学 / 双対性 / ゲージ理論 / Dブレーン / 場の量子論 / 超対称性 / 楕円種数 / 代数学 / オリエンティフォールド
Research Abstract

We discovered a new class of duality in two dimensional supersymmetric gauge theories. Employing the duality, we constructed a new class of superstring vacua, and provided mathematical conjectures on D-brane categories. Also, we succeeded in exactly computing the partition functions of such gauge theories, and obtained a general formula for the D-brane central charge and the elliptic genera. In addition, we obtained a general rule to determine the degrees of freedom on D-branes and gave a proof of the rule of T-duality action on D-branes. By these results, a new method to study the vacuum structure and the low energy effective theory of superstring compactifications is established.

Report

(6 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (50 results)

All 2014 2013 2012 2011 2010 2009 Other

All Journal Article (8 results) (of which Peer Reviewed: 5 results) Presentation (41 results) (of which Invited: 15 results) Remarks (1 results)

  • [Journal Article] Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups2014

    • Author(s)
      Francesco Benini, Richard Eager, Kentaro Hori, Yuji Tachikawa
    • Journal Title

      Lett. Math. Phys

      Volume: 104 Issue: 4 Pages: 465-493

    • DOI

      10.1007/s11005-013-0673-y

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 2d SCFT from M2-branes2013

    • Author(s)
      Kentaro Hori, Chan. Y. Park, Yuji Tachikawa
    • Journal Title

      JHEP

      Volume: 1311 Issue: 11 Pages: 147-147

    • DOI

      10.1007/jhep11(2013)147

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Linear sigma models with strongly coupled phases - one parameter models2013

    • Author(s)
      Kentaro Hori, Johanna Knapp
    • Journal Title

      JHEP

      Volume: 1311 Issue: 11 Pages: 70-70

    • DOI

      10.1007/jhep11(2013)070

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Exact results in two-dimensional (2, 2) supersymmetric gauge theories with boundary2013

    • Author(s)
      Kentaro Hori, Mauricio Romo
    • Volume
      (arXiv:1308.2438)
    • Related Report
      2013 Final Research Report
  • [Journal Article] Duality in two-dimensional (2, 2) supersymmetric non-Abelian gauge theories2013

    • Author(s)
      Kentaro Hori
    • Journal Title

      JHEP

      Volume: 1310 Issue: 10 Pages: 121-121

    • DOI

      10.1007/jhep10(2013)121

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the structure of the Chan-Paton factors for D-branes in Type II orientifolds2010

    • Author(s)
      Dongfeng Gao, Kentaro Hori
    • Volume
      (arXiv:1004.3972)
    • Related Report
      2013 Final Research Report
  • [Journal Article] Notes on Bosonization with Boundary2009

    • Author(s)
      Kentaro Hori
    • Journal Title

      Progress of Theoretical Physics Supplement 177

      Pages: 42-53

    • NAID

      110007160718

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Elliptic genera of 2d N=2 gauge theories

    • Author(s)
      Francesco Benini, Richard Eager, Kentaro Hori, Yuji Tachikawa
    • Journal Title

      Communications in Mathematical Physics

      Volume: (掲載確定)

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Presentation] Grade restriction rule and D-brane central charge 及びLinear sigma models with strongly coupled phases2014

    • Author(s)
      堀健太朗
    • Organizer
      国際研究集会Calabi-Yau manifolds, mirror symmetry and related topics
    • Place of Presentation
      東京大学, 日本
    • Related Report
      2013 Final Research Report
  • [Presentation] Exact results in two-dimensional (2, 2) supersymmetric gauge theories with boundary2014

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Rikkyo MathPhys 2014
    • Place of Presentation
      立教大学, 日本
    • Related Report
      2013 Final Research Report
  • [Presentation] Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary2014

    • Author(s)
      Kentaro Hori
    • Organizer
      International Symposium Rikkyo MathPhys 2014
    • Place of Presentation
      Rikkyo University, Tokyo, Japan
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] The parameter delta2014

    • Author(s)
      Kentaro Hori and Mauricio Romo
    • Organizer
      Primitive forms and related subjects
    • Place of Presentation
      Kavli IPMU, Kashiwa, Japan
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Talk 1: Grade Restriction Rule and D-brane Central Charge; Talk 2: Linear Sigma Models with Strongly Coupled Phases2014

    • Author(s)
      Kentaro Hori
    • Organizer
      Calabi-Yau Manifolds, Mirror Symmetry and Related Topics
    • Place of Presentation
      University of Tokyo, Komaba, Japan
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Introduction to Linear Sigma Models2014

    • Author(s)
      Kentaro Hori
    • Organizer
      Workshop on LG B-model
    • Place of Presentation
      University of Michigan, Ann Arbor, U.S.A.
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Exact results In two-dimensional (2, 2) supersymmetric gauge theories with boundary2013

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Physics around Mirror Symmetry
    • Place of Presentation
      ペリメター理論物理学研究所, カナダ
    • Related Report
      2013 Final Research Report
  • [Presentation] Supersymmetric localization in two dimensions2013

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Geometry and Physics of Gauged Linear Sigma Model
    • Place of Presentation
      ミシガン大学, 米国
    • Related Report
      2013 Final Research Report
  • [Presentation] Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary2013

    • Author(s)
      Kentaro Hori and Mauricio Romo
    • Organizer
      Kavli IPMU Workshop on Gauge and String Theory
    • Place of Presentation
      Kavli IPMU, Kashiwa, Japan
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary2013

    • Author(s)
      Kentaro Hori
    • Organizer
      Physics Around Mirror Symmetry
    • Place of Presentation
      Perimeter Institute for Theoretical Physics, Waterloo, Canada
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Uses of Linear Sigma Models2013

    • Author(s)
      Kentaro Hori
    • Organizer
      Seminar weeks on Calabi-Yau manifolds, mirror symmetry, and derived categories
    • Place of Presentation
      University of Tokyo, Komaba, Japan
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Supersymmetric Localization in Two Dimensions2013

    • Author(s)
      Kentaro Hori
    • Organizer
      New Mathematical Structures in Supersymmetric Gauge Theory?
    • Place of Presentation
      Perimeter Institute for Theoretical Physics, Waterloo, Canada
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Supersymmetric Localization in Two Dimensions2013

    • Author(s)
      Kentaro Hori
    • Organizer
      Geometry and Physics of Gauged Linear Sigma Model
    • Place of Presentation
      University of Michigan, Ann Arbor, U.S.A.
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Predictions on derived equivalences from 2d gauge theories2012

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Homological Projective Duality and Quantum Gauge Theory
    • Place of Presentation
      カブリ数物連携宇宙研究機構, 日本
    • Related Report
      2013 Final Research Report
  • [Presentation] Introduction to string theory and its relation to gauge theories2012

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Relation of String Theory to Gauge Theories and Moduli Problems of Branes
    • Place of Presentation
      ステクロフ数学研究所, ロシア
    • Related Report
      2013 Final Research Report
  • [Presentation] Mirror Symmetry : from 3d to 2d2012

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Algebraic Topology, Field Theory and Strings
    • Place of Presentation
      Simons Center for Geometry and Physics, 米国
    • Related Report
      2013 Final Research Report
  • [Presentation] Mirror Symmetry: from 3d to 2d2012

    • Author(s)
      Kentaro Hori
    • Organizer
      Algebraic Topology, Field Theory and Strings
    • Place of Presentation
      Simons Center for Geometry and Physics, Stony Brook, U.S.A.
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Talk 1: Introduction to string theory and its relation to gauge theories, Talk 2: Prediction on derived equivalences from linear sigma models2012

    • Author(s)
      Kentaro Hori
    • Organizer
      Relation of String Theory to Gauge Theories and Moduli Problems of Branes
    • Place of Presentation
      Steklov Mathematical Institute, Moscow, Russia
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Talk 1: Predictions on derived equivalences from 2d gauge theory, Talk 2: Introduction to linear sigma models, Talk 3: Duality in 2d (2,2) supersymmetric non-Abelian gauge theories2012

    • Author(s)
      Kentaro Hori
    • Organizer
      Homological Projective Duality and Quantum Gauge Theory
    • Place of Presentation
      Kavli IPMU, Kashiwa, Japan
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Mirror Symmetry2012

    • Author(s)
      Kentaro Hori
    • Organizer
      RTG Mirror Symmetry Conference
    • Place of Presentation
      University of Michigan, Ann Arbor, U.S.A.
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Phases of Calabi-Yau Categories2011

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Noncommutative Algebraic Geometry and D-branes
    • Place of Presentation
      Simons Center for Geometry and Physics, 米国
    • Related Report
      2013 Final Research Report
  • [Presentation] Duality in Two-dimensional (2, 2) Supersymmetric Non-Abelian Gauge Theories2011

    • Author(s)
      堀健太朗
    • Organizer
      国際会議String-Math 2011
    • Place of Presentation
      ペンシルベニア大学, 米国
    • Related Report
      2013 Final Research Report
  • [Presentation] Duality in Two-dimensional (2,2) Supersymmetric Non-Abelian Gauge Theories2011

    • Author(s)
      Kentaro Hori
    • Organizer
      String-Math 2011
    • Place of Presentation
      University of Pennsylvania, Philadelphia, U.S.A.
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Phases of Calabi-Yau Categories2011

    • Author(s)
      Kentaro Hori
    • Organizer
      Noncommutative Algebraic Geometry and D-branes
    • Place of Presentation
      Simons Center for Geometry and Physics, Stony Brook, U.S.A.
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] D-branes, T-duality, and Index theory, part II2010

    • Author(s)
      Kentaro Hori
    • Organizer
      Geometry, Quantum Fields, and Strings : Categorical Aspects
    • Place of Presentation
      Mathematisches Forschungsinstutit Oberwolfach, Germany
    • Year and Date
      2010-06-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] Gauged Landau-Ginzburg Models2010

    • Author(s)
      Kentaro Hori
    • Organizer
      Workshop on Geometry and Physics of the Landau-Ginzburg model
    • Place of Presentation
      Institut Fourier, Grenoble, France
    • Year and Date
      2010-05-31
    • Related Report
      2010 Annual Research Report
  • [Presentation] D-Branes and Categories2010

    • Author(s)
      Kentaro Hori
    • Organizer
      Conference on Interplay between representation theory and geometry
    • Place of Presentation
      Tsinghua University, Beijin, China
    • Year and Date
      2010-05-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] On the Structure of Chan-Paton factors in Type II Orientifolds2010

    • Author(s)
      Kentaro Hori
    • Organizer
      Komaba 2010, Recent Developments in Strings and Fields
    • Place of Presentation
      東京大学駒場キャンパス
    • Year and Date
      2010-02-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] Mirror Symmetry and Reality2010

    • Author(s)
      Kentaro Hori
    • Organizer
      Worlshop on Homological Mirror Symmetry and Related Topics
    • Place of Presentation
      University of Miami, U.S.A.
    • Year and Date
      2010-01-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Mirror Symmetry and Reality2010

    • Author(s)
      Kentaro Hori
    • Organizer
      International Conference on Mirror Symmetry and Gromov-Witten Theory
    • Place of Presentation
      Seoul National Univ., Seoul, South Korea
    • Year and Date
      2010-01-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] D-branes, T-duality, and Index Theory, Part II2010

    • Author(s)
      堀健太朗
    • Organizer
      国際研究集会Geometry, Quantum Fields, and Strings : Categorical Aspects
    • Place of Presentation
      オーバーヴォルファッハ数学研究所, ドイツ
    • Related Report
      2013 Final Research Report
  • [Presentation] Gauged Landau-Ginzburg Models2010

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Geometry and Physics of the Landau-Ginzburg Model
    • Place of Presentation
      フーリエ研究所, フランス
    • Related Report
      2013 Final Research Report
  • [Presentation] D-branes and categories2010

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Interplay between Representation Theory and Geometry
    • Place of Presentation
      清華大学, 中国
    • Related Report
      2013 Final Research Report
  • [Presentation] On the structure of Chan-Paton factors in Type II orientifolds2010

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Komaba 2010, Recent Developments in Strings and Fields
    • Place of Presentation
      東京大学, 日本
    • Related Report
      2013 Final Research Report
  • [Presentation] Mirror symmetry and reality2010

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Homological Mirror Symmetry and Related Topics
    • Place of Presentation
      マイアミ大学, 米国
    • Related Report
      2013 Final Research Report
  • [Presentation] Mirror symmetry and reality2010

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Mirror Symmetry and Gromov-Witten Invariants
    • Place of Presentation
      ソウル国立大学, 韓国
    • Related Report
      2013 Final Research Report
  • [Presentation] String Theory and K-theory2010

    • Author(s)
      Kentaro Hori
    • Organizer
      Opening meeting of the thematic year "Perspectives in Deformation Quantization and Noncommutative Geometry"
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2010 Annual Research Report
  • [Presentation] Linear Sigma Models with and without Boundary2009

    • Author(s)
      Kentaro Hori
    • Organizer
      Workshop on Geometry and Physics
    • Place of Presentation
      中国 成都 四川大学
    • Year and Date
      2009-08-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] Linear Sigma Models with Non-Abelian Gauge Groups2009

    • Author(s)
      Kentaro Hori
    • Organizer
      Theorie de Gromow-Witten Equivariante etles Equations du Vortex
    • Place of Presentation
      C.I.R.M., Luminy, France
    • Year and Date
      2009-07-06
    • Related Report
      2009 Annual Research Report
  • [Presentation] Linear sigma models with and without boundary2009

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Geometry and Physics
    • Place of Presentation
      四川大学, 中国
    • Related Report
      2013 Final Research Report
  • [Presentation] Linear sigma models with non-Abelian gauge groups2009

    • Author(s)
      堀健太朗
    • Organizer
      国際会議Theorie de Gromov-Witten Equivariante et les Equations du Vortex
    • Place of Presentation
      C.R.I.M, フランス
    • Related Report
      2013 Final Research Report
  • [Remarks] ホモロジー的射影双対と量子ゲージ理論

    • URL

      http://www.ipmu.jp/node/1427

    • Related Report
      2012 Annual Research Report

URL: 

Published: 2009-04-01   Modified: 2019-07-29  

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