Emergence of integrability in gauge theory and string theory and its prediction in particle physics

• Project/Area Number: 23540316
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Osaka City University
• Principal Investigator: HIROSHI Itoyama 大阪市立大学, 大学院理学研究科, 教授 (30243158)
• Co-Investigator(Kenkyū-buntansha): OOTA Takeshi 大阪市立大学, 大学院理学研究科, 数学研究所専任研究所員 (70419688) ; YOSHIOKA Reiji 大阪市立大学, 大学院理学研究科, 数学研究所専任研究所員 (90514555)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000); Fiscal Year 2014: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000); Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
• Keywords: integrable system / Seiberg-Witten curve / prepotential / Whitham hierarchy / USp matrix model / partial susy breaking / quiver matrix model / Nekrasov function

Outline of Final Research Achievements

Continuing the series of original work done by us in 2010, we made several accomplishments in 2d-4d connection and AGT relation. In particular, we obtained the striking results of the emergence of parafermion block from the root of unity limit in q in the q-Virasoro block.
Collaborating with Maru, we established the mechanism of D term triggered dynamical supersymmetry breaking based on the Hartree-Fock approximation. We obtained interesting results on supersymmetry breaking in superstring theory and on computation of Colored HOMFLY polynomials.

Research Products

• [Journal Article] 126 GeV Higgs Boson Associated with D-term Triggered Dynamical Supersymmetry Breaking (2015)
  • Author(s): H. Itoyama, N. Maru
  • Journal Title: Symmetry Volume: 7(1) Issue: 1 Pages: 193-205
  • DOI: 10.3390/sym7010193
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Mass Sum Rule of the Effective Action on Vacua with Broken Rigid N=1 Supersymmetry (2015)
  • Author(s): H. Itoyama, N. Maru
  • Journal Title: Nucl.Phys. B Volume: 893 Pages: 332-345
  • DOI: 10.1016/j.nuclphysb.2015.02.017
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] q-Virasoro/W Algebra at Root of Unity and Parafermions (2014)
  • Author(s): H. Itoyama, T. Oota, R. Yoshioka
  • Journal Title: Nucl.Phys. B Volume: 889 Pages: 25-35
  • DOI: 10.1016/j.nuclphysb.2014.10.006
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Calculation of Fayet-Iliopoulos D-term in type I string theory revisited: T6/Z3 orbifold case (2013)
  • Author(s): H. Itoyama, K. Yano
  • Journal Title: Phys. Lett. B Volume: 727 Issue: 4-5 Pages: 527-531
  • DOI: 10.1016/j.physletb.2013.10.065
  • Peer Reviewed
• [Journal Article] 2d-4d Connection between q-Virasoro/W Block at Root of Unity Limit and Instanton Partition Function on ALE Space (2013)
  • Author(s): H. Itoyama, T. Oota, R. Yoshioka
  • Journal Title: Nucl. Phys. B Volume: 877 Issue: 2 Pages: 506-537
  • DOI: 10.1016/j.nuclphysb.2013.10.012
  • Peer Reviewed
• [Journal Article] q-Virasoro algebra at root of unity limit and 2d-4d connection (2013)
  • Author(s): H. Itoyama, T. Oota, R. Yoshioka
  • Journal Title: Journal of Physics Volume: 474 Pages: 1-13
  • DOI: 10.1088/1742-6596/474/1/012022
  • Peer Reviewed
• [Journal Article] D-term Triggered Dynamical Supersymmetry Breaking (2013)
  • Author(s): H. Itoyama, N. Maru
  • Journal Title: Phys. Rev. D Volume: 88 Issue: 2 Pages: 0250121-17
  • DOI: 10.1103/physrevd.88.025012
  • Peer Reviewed
• [Journal Article] β-deformed matrix models and Nekrasov partition function (2013)
  • Author(s): T. Oota
  • Journal Title: Int. J. Mod. Phys. Conf. Ser. Volume: 21 Pages: 92-100
  • DOI: 10.1142/s2010194513009434
  • Peer Reviewed
• [Journal Article] Eigenvalue hypothesis for Racah matrices and HOMFLY polynomials for 3-strand knots in any symmetric and antisymmetric representations (2013)
  • Author(s): H. Itoyama, A. Mironov, A. Morozov, An. Morozov
  • Journal Title: Int. J. Mod. Phys. A Volume: 28, 3n04 Pages: 13400091-81
  • Peer Reviewed
• [Journal Article] D-term Dynamical SUSY Breaking (2013)
  • Author(s): H. Itoyama, N. Maru
  • Journal Title: Int. J. Mod. Phys. Conference Series Volume: 21 Pages: 42-51
  • DOI: 10.1142/s2010194513009392
  • Peer Reviewed
• [Journal Article] Sine-Gordon theory in the repulsive regime, thermodynamic Bethe ansatz and minimal models (2012)
  • Author(s): H. Itoyama
  • Journal Title: Int. J. Mod. Phys. B Volume: 26 Issue: 27n28 Pages: 12430111-9
  • DOI: 10.1142/s0217979212430114
  • Peer Reviewed
• [Journal Article] Character expansion for HOMFLY polynomials. III. All 3-Strand braids in the first symmetric representation (2012)
  • Author(s): H. Itoyama, A. Mironov, A. Morozov, An. Morozov,
  • Journal Title: Int. J. Mod. Phys. A Volume: 27 Issue: 19 Pages: 12500991-59
  • DOI: 10.1142/s0217751x12500996
  • Peer Reviewed
• [Journal Article] HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations (2012)
  • Author(s): H. Itoyama, A. Mironov, A. Morozov, An. Morozov
  • Journal Title: JHEP Volume: 1207 Issue: 7 Pages: 1311-14
  • DOI: 10.1007/jhep07(2012)131
  • Peer Reviewed
• [Journal Article] D-term Dynamical Supersymmetry Breaking Generating Split N=2 Gaugino Masses of Mixed Majorana-Dirac Type, (2012)
  • Author(s): H. Itoyama, N. Maru,
  • Journal Title: Int. J. Mod. Phys. A Volume: 27 Issue: 26 Pages: 12501591-4
  • DOI: 10.1142/s0217751x1250159x
  • Peer Reviewed
• [Journal Article] An(1) Affine Quiver Matrix Model (2011)
  • Author(s): H. Itoyama and T. Oota
  • Journal Title: Nucl. Phys. B Volume: 852 Pages: 336-351
  • Peer Reviewed
• [Journal Article] \epsilon-Corrected Seiberg-Witten Prepotential Obtained From Half Genus Expansion in beta-Deformed Matrix Model (2011)
  • Author(s): H. Itoyama and N. Yonezawa
  • Journal Title: Int.J.Mod.Phys. A Volume: 26 Pages: 3439-3467
  • Peer Reviewed
• [Presentation] Mass Sum Rule of the Effective Action on Vacua with Broken Rigid N=1 Supersymmetry (2015)
  • Author(s): 糸山 浩
  • Organizer: 日本物理学会第70回年次大会
  • Place of Presentation: 早稲田大学早稲田キャンパス(東京都新宿区西早稲田)
  • Year and Date: 2015-03-21
• [Presentation] q-Virasoro algebra at root of unity, parafermions and 2d-4d connection (2015)
  • Author(s): H. Itoyama
  • Organizer: Mini-symposium “Moduli Space, Conformal Field Theory and Matrix Model (MCM2015)
  • Place of Presentation: Okinawa Institute of Science & Technology (OIST)(沖縄県国頭郡恩納村)
  • Year and Date: 2015-03-18
  • Invited
• [Presentation] Matrix models and quantum curves (2015)
  • Author(s): 大田武志
  • Organizer: ミニワークショップ「数学・物理における可積分性の諸相」
  • Place of Presentation: 大阪市立大学(大阪府大阪市住吉区杉本)
  • Year and Date: 2015-03-11
• [Presentation] q-Virasoro algebra at root of unity limit and current algebra (2015)
  • Author(s): 吉岡礼治
  • Organizer: ミニワークショップ「数学・物理における可積分性の諸相」
  • Place of Presentation: 大阪市立大学(大阪府大阪市住吉区杉本)
  • Year and Date: 2015-03-09
• [Presentation] Review of the deformation theory of prepotential and the S-W system (2014)
  • Author(s): H. Itoyama
  • Organizer: 第6回静岡素粒子集中セミナー
  • Place of Presentation: 静岡市産学交流センターB-nest(静岡県静岡市葵区御幸町)
  • Year and Date: 2014-12-05
  • Invited
• [Presentation] Mixed Majorana-Dirac gauginos and D-term triggered dynamical supersymmetry breaking (2014)
  • Author(s): H. Itoyama
  • Organizer: テラスケール2014～先端加速器LHCが切り拓くテラスケールの素粒子物理学～
  • Place of Presentation: 大阪大学基礎工学部Σホール(大阪府豊中市待兼山町)
  • Year and Date: 2014-11-29
• [Presentation] q-Virasoro/W algebra at root of unity limit and Parafermion (2014)
  • Author(s): 糸山浩、大田武志、吉岡礼治
  • Organizer: 日本物理学会2014年秋季大会
  • Place of Presentation: 佐賀大学本庄キャンパス(佐賀県佐賀市本庄町)
  • Year and Date: 2014-09-19
• [Presentation] q-Virasoro/W algebra at root of unity limit and parafermion (2014)
  • Author(s): 吉岡礼治
  • Organizer: YITP workshop on string theory and quantum field theory “Strings and Field”
  • Place of Presentation: 京大基研(京都市左京区北白川追分町)
  • Year and Date: 2014-07-22
• [Presentation] Review of Alday-Maldacena Minimal Area Calculation of Multigluon Scattering Amplitudes (2014)
  • Author(s): H. Itoyama
  • Organizer: Symposium on the Frontier of Hadron Physics
  • Place of Presentation: Center for Nuclear Matter Science, Central China Normal University, in Wuhan, China
  • Year and Date: 2014-06-15
  • Invited
• [Presentation] D-term Triggered Dynamical Supersymmetry Breaking (2013)
  • Author(s): H. Itoyama
  • Organizer: ＫＥＫ 理論研究会 ２０１３ ー超弦理論から現象論への新たな展望ー
  • Place of Presentation: KEK
  • Invited
• [Presentation] D-term Dynamical Supersymmetry Breaking (2012)
  • Author(s): H. Itoyama
  • Organizer: 基研研究会 素粒子物理学の進展２０１２
  • Place of Presentation: 京大基研
• [Presentation] 対称性の自発的破れと素粒子物理 (2012)
  • Author(s): H. Itoyama
  • Organizer: 市民講演会「宇宙と素粒子のなりたち」
  • Place of Presentation: 大阪国際会議場
  • Invited
• [Presentation] D-term Dynamical Supersymmetry Breaking (2012)
  • Author(s): 糸山 浩
  • Organizer: 静岡大学集中セミナー
  • Place of Presentation: 静岡大学
• [Presentation] 2d-4d connection through 0d matrices (2012)
  • Author(s): 糸山 浩
  • Organizer: 行列模型とその周辺研究会
  • Place of Presentation: 立教大学
• [Presentation] An(1) Affine Quiver Matrix Model (2011)
  • Author(s): H. Itoyama
  • Organizer: ４th Workshop on Geometric Methods in Theoretical Physics, International School for Advanced Studies
  • Place of Presentation: Trieste, Italy
• [Presentation] Progress in the Gauge Theory with Spontaneously Broken N=2 Supersymmetry (2011)
  • Author(s): H. Itoyama
  • Organizer: SUSY2011 International conference on supersymmetry
  • Place of Presentation: Fermilab, Batavia, Illinois USA
• [Presentation] D-term Triggered Dynamical Supersymmetry Breaking and its Connection to 126 GeV Higgs
  • Author(s): 糸山浩
  • Organizer: 日本物理学会第69回年次大会
  • Place of Presentation: 東海大学
  • Invited
• [Presentation] q-Virasoro algebra at root of unity limit and 2d-4d connection
  • Author(s): H. Itoyama
  • Organizer: Todai/RIKEN joint workshop on Super Yang-Mills, solvable systems and related subjects
  • Place of Presentation: 東京大学
• [Presentation] D-term Triggered Dynamical Supersymmetry Breaking
  • Author(s): H. Itoyama
  • Organizer: SUSY 2013
  • Place of Presentation: ICTP Trieste, Italy
  • Invited
• [Presentation] q-Virasoro algebra at root of unity limit and 2d-4d connection
  • Author(s): H. Itoyama
  • Organizer: the XXIst International Conference on Integrable Systems and Quantum Symmetries (ISQS21)
  • Place of Presentation: Prague, Czech Republic
• [Presentation] On Cherednik algebra and its root of unity limit
  • Author(s): T. Oota
  • Organizer: 学振二国間交流事業共同研究ロシアとの共同研究(RFBR)とりまとめ研究会
  • Place of Presentation: 立命館大学びわこ・くさつキャンパス
• [Presentation] q-Virasoro algebra and parafermion
  • Author(s): R. Yoshioka
  • Organizer: 学振二国間交流事業共同研究ロシアとの共同研究(RFBR)とりまとめ研究会
  • Place of Presentation: KKRホテルびわこ
• [Presentation] Use of q-Virasoro/W block at root of unity for 2d-4d connection
  • Author(s): 吉岡礼治
  • Organizer: 基研研究会 場 の理論と弦理論
  • Place of Presentation: 京大基研
• [Presentation] q-Virasoro algebra at root of unity limit and 2d-4d connection
  • Author(s): R. Yoshioka
  • Organizer: 日露研究会 Synthesis of integrabilities in the context of duality between the string theory and gauge theories
  • Place of Presentation: Steklov Mathematical Institute, Moscow
• [Book] 宇宙と素粒子のなりたち (2013)
  • Author(s): 糸山浩・横山順一・川合 光・南部陽一郎
  • Total Pages: 174
  • Publisher: 京都大学学術出版
• [Book] SELECTED PAPERS Int. J. Mod. Phys. A 28 (2013) 3-4 (2013)
  • Author(s): K. Ito, H. Itoyama, H. Kanno, T. Kobayashi, K. Ohta, T. Oota
  • Total Pages: 250
  • Publisher: World Scientific
• [Book] Int. J. Mod. Phys. Conf. Ser. 21 (2013) pp.1-205 (2013)
  • Author(s): K. Ito, H. Itoyama, H. Kanno, T. Kobayashi, K. Ohta, T. Oota
  • Total Pages: 205
  • Publisher: World Scientific