New relations between conformal field theories and superstring theory on non-trivial backgounds

• Project/Area Number: 24740170
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Kyoto University (2016); Rikkyo University (2013-2015); Keio University (2012)
• Principal Investigator: Hikida Yasuaki 京都大学, 基礎物理学研究所, 特定准教授 (80567462)
• Project Period (FY): 2012-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
• Keywords: 超弦理論 / AdS/CFT対応 / 共形場理論 / 高いスピンのゲージ理論 / 2次元共形場理論 / 二次元共形場理論 / 国際情報交換 / カナダ：ルクセンブルク

Outline of Final Research Achievements

The purpose of this research is to develop techniques to study superstring theory on non-trivial backgrounds, in particular, on Anti-de Sitter (AdS) space. For this aim we clarified relations between conformal field theories in two dimensions by extending our previous works to a large class of supergroup models. We also utilized higher spin gauge theory and AdS/CFT duality. We generalized the duality with three dimensional AdS space, and succeeded to clarify the relation between higher spin gauge theory and superstring theory. Moreover, we were able to understand the mechanism of symmetry breaking in higher spin gauge theory by applying AdS/CFT duality.

Research Products

• [Journal Article] Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry (2017)
  • Author(s): Y. Hikida and T. Wada
  • Journal Title: Journal of High Energy Physics Volume: 1703 Issue: 3
  • DOI: 10.1007/jhep03(2017)047
  • NAID: 120006318880
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Anomalous dimensions of higher spin currents in large N CFTs (2017)
  • Author(s): Y. Hikida and T. Wada
  • Journal Title: Journal of High Energy Physics Volume: 1701 Issue: 1
  • DOI: 10.1007/jhep01(2017)032
  • NAID: 120005980949
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] The masses of higher spin fields on AdS_4 and conformal perturbation theory (2016)
  • Author(s): Y. Hikida
  • Journal Title: Physical Review D Volume: 94 Issue: 2
  • DOI: 10.1103/physrevd.94.026004
  • Peer Reviewed / Open Access
• [Journal Article] Correspondences between WZNW models and CFTs with W-algebra symmetry (2016)
  • Author(s): T. Creutzig, Y. Hikida and P. B. Ronne
  • Journal Title: JHEP Volume: 1602 Issue: 2
  • DOI: 10.1007/jhep02(2016)048
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Higgs phenomenon for higher spin fields on AdS_3 (2015)
  • Author(s): T. Creutzig and Y. Hikida
  • Journal Title: JHEP Volume: 1510 Issue: 10
  • DOI: 10.1007/jhep10(2015)164
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography (2015)
  • Author(s): Y. Hikida and P. B. Ronne
  • Journal Title: JHEP Volume: 1507 Issue: 7
  • DOI: 10.1007/jhep07(2015)125
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry (2014)
  • Author(s): H. Afshar, T. Creutzig, D. Grumiller, Y. Hikida, P. B. Ronne
  • Journal Title: JHEP Volume: 06 Issue: 6
  • DOI: 10.1007/jhep06(2014)063
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Higher spin AdS_3 holography with extended supersymmetry (2014)
  • Author(s): T. Creutzig, Y. Hikida, P. B. Ronne
  • Journal Title: JHEP Volume: 10 Issue: 10
  • DOI: 10.1007/jhep10(2014)163
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Conical defects and N=2 higher spin holography (2013)
  • Author(s): Y. Hikida
  • Journal Title: Journal of High Energy Physics Volume: 1308 Issue: 8 Pages: 127-127
  • DOI: 10.1007/jhep08(2013)127
  • Peer Reviewed
• [Journal Article] Extended higher spin holography and Grassmannian models (2013)
  • Author(s): T. Creutzig, Y. Hikida and P. B. Ronne
  • Journal Title: Journal of High Energy Physics Volume: 1311 Issue: 11 Pages: 38-38
  • DOI: 10.1007/jhep11(2013)038
  • Peer Reviewed
• [Journal Article] 高いスピンのゲージ理論によるAdS/CFT対応の理解にむけて (2013)
  • Author(s): 疋田泰章
  • Journal Title: 日本物理学会誌 Volume: 68 Pages: 378-381
• [Journal Article] Three point functions in higher spin AdS_3 supergravity (2013)
  • Author(s): Thomas Creutzig, Yasuaki Hikida and Peter B. Ronne
  • Journal Title: Journal of High Energy Physics Volume: 1301 Issue: 1 Pages: 171-171
  • DOI: 10.1007/jhep01(2013)171
  • Peer Reviewed
• [Journal Article] N=1 supersymmetric higher spin holography on AdS_3 (2013)
  • Author(s): Thomas Creutzig, Yasuaki Hikida and Peter B. Ronne
  • Journal Title: Journal of High Energy Physics Volume: 1302 Issue: 2 Pages: 19-19
  • DOI: 10.1007/jhep02(2013)019
  • Peer Reviewed
• [Journal Article] Higher spin AdS_3 supergravity and its CFT dual (2013)
  • Author(s): Thomas Creutzig, Yasuaki Hikida and Peter B. Ronne
  • Journal Title: International Journal of Modern Physics: Conference Series Volume: 21 Pages: 163-164
  • DOI: 10.1142/s2010194513009628
  • Peer Reviewed
• [Presentation] Anomalous dimensions of higher spin currents in large N CFTs (2017)
  • Author(s): 疋田泰章
  • Organizer: 日本物理学会第72回年次大会
  • Place of Presentation: 大阪大学豊中キャンパス（大阪府・豊中市）
• [Presentation] N=3 higher spin holography and superstring theory (2017)
  • Author(s): 疋田泰章
  • Organizer: 日本物理学会第72回年次大会
  • Place of Presentation: 大阪大学豊中キャンパス（大阪府・豊中市）
  • Invited
• [Presentation] Higgs phenomenon for higher spin fields on AdS space (2016)
  • Author(s): 疋田泰章
  • Organizer: 日本物理学会 第71回年次大会
  • Place of Presentation: 東北学院大学泉キャンパス（宮城県・仙台市）
  • Year and Date: 2016-03-22
• [Presentation] 高いスピンのゲージ理論からAdS/CFT そして弦へ (2016)
  • Author(s): 疋田泰章
  • Organizer: 日本物理学会 2016年秋季大会
  • Place of Presentation: 宮崎大学木花キャンパス（宮崎県・宮崎市）
  • Invited
• [Presentation] Higher spin holography and Higgs phenomenon (2016)
  • Author(s): 疋田泰章
  • Organizer: Quantum Information in String Theory and Many-body Systems
  • Place of Presentation: 京都大学基礎物理学研究所（京都府・京都市）
  • Int'l Joint Research / Invited
• [Presentation] Higgs phenomenon and N=3 higher spin holography (2015)
  • Author(s): 疋田泰章
  • Organizer: International Workshop on Strings, Black Holes and Quantum Information
  • Place of Presentation: 東北大学片平キャンパス（宮城県・仙台市）
  • Year and Date: 2015-09-07
  • Int'l Joint Research
• [Presentation] N=3 higher spin holgoraphy (2015)
  • Author(s): 疋田 泰章
  • Organizer: 日本物理学会第 70回年次大会
  • Place of Presentation: 早稲田大学（東京都・新宿区）
  • Year and Date: 2015-03-21 – 2015-03-24
• [Presentation] Higher spin fields, strings and AdS/CFT (2014)
  • Author(s): 疋田 泰章
  • Organizer: String, Lattice and Moonshine
  • Place of Presentation: 立教大学（東京都・豊島区）
  • Year and Date: 2014-12-04 – 2014-12-06
  • Invited
• [Presentation] Higher spin AdS_3 holography and superstring theory (2014)
  • Author(s): 疋田 泰章
  • Organizer: Strings and Fields
  • Place of Presentation: 京都大学（京都・左京区）
  • Year and Date: 2014-07-22 – 2014-07-26
• [Presentation] Higher spin AdS_3 holography and superstring theory (2014)
  • Author(s): 疋田 泰章
  • Organizer: String-Math 2014
  • Place of Presentation: エドモントン（カナダ）
  • Year and Date: 2014-06-09 – 2014-06-13
• [Presentation] Conical defects and N=2 higher spin holography (2013)
  • Author(s): 疋田泰章
  • Organizer: 日本物理学会第68回年次大会
  • Place of Presentation: 広島大学 東広島キャンパス
• [Presentation] Higher spin AdS_3 supergravity and its dual CFT (2012)
  • Author(s): Yasuaki Hikida
  • Organizer: Progress in Quantum Field Theory and String Theory
  • Place of Presentation: Osaka City University
• [Presentation] Higher spin gauge theories and their CFT duals (2012)
  • Author(s): 疋田泰章
  • Organizer: 場の理論と弦理論
  • Place of Presentation: 京都大学 基礎物理学研究所
  • Invited
• [Presentation] Higher spin supergravity dual of Kazama-Suzuki model (2012)
  • Author(s): Yasuaki Hikida
  • Organizer: Yukawa International Seminar (YKIS) 2012
  • Place of Presentation: Yukawa Institute for Theoretical Physics
  • Invited
• [Presentation] W-algebra and higher spin gauge theory
  • Author(s): 疋田泰章
  • Organizer: 研究集会｢頂点作用素代数と超弦理論」
  • Place of Presentation: 立教大学池袋キャンパス
  • Invited
• [Presentation] Extended higher spin holography and Grassmannian models
  • Author(s): 疋田泰章
  • Organizer: 日本物理学会 第69回年次大会
  • Place of Presentation: 東海大学湘南キャンパス