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2022 年度 実績報告書

場の量子論における双対性の弦理論による理解

研究課題

研究課題/領域番号 22F22781
配分区分補助金
研究機関京都大学

研究代表者

杉本 茂樹  京都大学, 理学研究科, 教授 (80362408)

研究分担者 AKHOND MOHAMMAD  京都大学, 理学(系)研究科(研究院), 外国人特別研究員
研究期間 (年度) 2022-11-16 – 2025-03-31
キーワードQFT / fixed point / Chern Simons level
研究実績の概要

During this period we have been working on anomalies of 4d QCD from holography and gained some insight into the problem.
In parallel, we have been working on the question of non-supersymmetric fixed points in 5d. 5d fixed points are intrinsically non-perturbative, and cannot be detected using traditional methods, such as perturbing around free field Lagrangian. However, during the 21st century, a plethora of interacting superconformal theories in 5d were explicitly constructed in string theory. The second decade of the 21st century saw a successful application of topological phases in 3d gauge theories. In particular many fixed points were predicted by detecting a region of the phase space of given QFTs where a jump in the Chern Simons coupling occurs. The integrality of this level makes it a rather robust quantity under RG, and in particular a change in the sign of this quantity is typically a signal that some interesting physics is lurking behind. Given the enormous success of such ideas in 3d, it is natural to initiate a program to export some of these ideas to investigate 5d gauge theories. In particular, we tried to implement this in supersymmetry breaking deformations. We scanned through 5d gauge theories whose background Chern Simons level, for the instantonic symmetry shows a change in sign, as we vary the value of the gauge coupling. This allowed us to extend the phase diagram of several families of 5d SCFTs.

現在までの達成度 (区分)
現在までの達成度 (区分)

2: おおむね順調に進展している

理由

研究代表者と特別研究員との間の共同研究や、その他の共同研究者との研究も進んでおり、
概ね計画通りに順調に研究が進んでいると評価できます。

今後の研究の推進方策

In the future we plan to work on the following three broad questions.
1) Anomalies in QFTs from their supergravity dual description. Here 4d QCD will be taken as a case study, though the hope is to understand general features which are applicable beyond this particular example.
2) Supersymmetry breaking deformations of SCFTs in 5 and 6 dimensions.
3) Supersymmetric partition functions, perhaps decorated with line defects. we will particularly be interested in the long quiver limit.

  • 研究成果

    (5件)

すべて 2023 その他

すべて 国際共同研究 (3件) 雑誌論文 (1件) (うち国際共著 1件、 査読あり 1件、 オープンアクセス 1件) 学会発表 (1件) (うち国際学会 1件)

  • [国際共同研究] Swansea University(英国)

    • 国名
      英国
    • 外国機関名
      Swansea University
  • [国際共同研究] University of Trento(イタリア)

    • 国名
      イタリア
    • 外国機関名
      University of Trento
  • [国際共同研究] Tsinghua University(中国)

    • 国名
      中国
    • 外国機関名
      Tsinghua University
  • [雑誌論文] Massive flows in AdS6/CFT52023

    • 著者名/発表者名
      Akhond Mohammad、Legramandi Andrea、Nunez Carlos、Santilli Leonardo、Schepers Lucas
    • 雑誌名

      Physics Letters B

      巻: 840 ページ: 137899~137899

    • DOI

      10.1016/j.physletb.2023.137899

    • 査読あり / オープンアクセス / 国際共著
  • [学会発表] On the Higgs branch of brane systems with orientifolds2023

    • 著者名/発表者名
      Mohammad Akhond
    • 学会等名
      Quantum Field Theory and Representation theory
    • 国際学会

URL: 

公開日: 2023-12-25  

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