| 研究課題/領域番号 |
22KF0230
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| 補助金の研究課題番号 |
22F22781 (2022)
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| 研究種目 |
特別研究員奨励費
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| 配分区分 | 基金 (2023)
補助金 (2022) |
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| 応募区分 | 外国 |
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| 審査区分 |
小区分15010:素粒子、原子核、宇宙線および宇宙物理に関連する理論
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| 研究機関 | 京都大学 |
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研究代表者 |
杉本 茂樹 京都大学, 理学研究科, 教授 (80362408)
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| 研究分担者 |
AKHOND MOHAMMAD 京都大学, 理学研究科, 外国人特別研究員
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| 研究期間 (年度) |
2023-03-08 – 2025-03-31
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| 研究課題ステータス |
交付 (2023年度)
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| 配分額 *注記 |
1,500千円 (直接経費: 1,500千円)
2024年度: 500千円 (直接経費: 500千円)
2023年度: 700千円 (直接経費: 700千円)
2022年度: 300千円 (直接経費: 300千円)
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| キーワード | QFT / fixed point / Chern Simons level |
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| 研究開始時の研究の概要 |
The research outline will be to a) study anomalies of QCD from a holographic perspective, b) provide candidate phases of non-supersymmetric CFTs in dimensions greater than 4 and c) Study the superconformal index of quiver gauge theories in various dimensions.
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| 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.
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| 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。
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| 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.
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