Modular factorization of superconformal indices
文献类型：期刊论文
| 作者 | Jejjala, Vishnu1; Lei, Yang2,3; van Leuven, Sam1; Li, Wei4
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| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2023 |
| 期号 | 10页码:105 |
| ISSN号 | 1029-8479 |
| 关键词 | LENS SPACES N=1 |
| DOI | 10.1007/JHEP10(2023)105 |
| 英文摘要 | Superconformal indices of four-dimensional N = 1 gauge theories factorize into holomorphic blocks. We interpret this as a modular property resulting from the combined action of an SL(3, Z) and SL(2, Z) proportional to Z2 transformation. The former corresponds to a gluing transformation and the latter to an overall large diffeomorphism, both associated with a Heegaard splitting of the underlying geometry. The extension to more general transformations leads us to argue that a given index can be factorized in terms of a family of holomorphic blocks parametrized by modular (congruence sub)groups. We find precise agreement between this proposal and new modular properties of the elliptic G function. This leads to our conjecture for the modular factorization of superconformal lens indices of general N = 1 gauge theories. We provide evidence for the conjecture in the context of the free chiral multiplet and SQED and sketch the extension of our arguments to more general gauge theories. Assuming the validity of the conjecture, we systematically prove that a normalized part of superconformal lens indices defines a non-trivial first cohomology class associated with SL(3, Z). Finally, we use this framework to propose a formula for the general lens space index. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/28024]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Univ Witwatersrand, Mandelstam Inst Theoret Phys, Sch Phys, NITheCS, ZA-2050 Johannesburg, South Africa 2.Univ Witwatersrand, DSI NRF Ctr Excellence Math & Stat Sci CoE MaSS, ZA-2050 Johannesburg, South Africa 3.Soochow Univ, Inst Adv Study, Suzhou 215006, Peoples R China 4.Soochow Univ, Sch Phys Sci & Technol, Suzhou 215006, Peoples R China 5.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jejjala, Vishnu,Lei, Yang,van Leuven, Sam,et al. Modular factorization of superconformal indices[J]. JOURNAL OF HIGH ENERGY PHYSICS,2023(10):105. |
| APA | Jejjala, Vishnu,Lei, Yang,van Leuven, Sam,&Li, Wei.(2023).Modular factorization of superconformal indices.JOURNAL OF HIGH ENERGY PHYSICS(10),105. |
| MLA | Jejjala, Vishnu,et al."Modular factorization of superconformal indices".JOURNAL OF HIGH ENERGY PHYSICS .10(2023):105. |
入库方式： OAI收割
来源：理论物理研究所
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