Deformations of AdS and exact sequences
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915578137018368 |
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| author | Mikhailov, Andrei |
| author_facet | Mikhailov, Andrei |
| contents | We give examples of cohomologies of the superconformal algebra, relevant to computations in the AdS supergravity. Our main examples are deformations of $AdS_5\times S^5$ transforming in finite-dimensional representations of the superconformal algebra at the linearized level. In the study of correlation functions, it is important to compute the resolution of BRST-exact products of vertex operators. The resolution is typically non-covariant, because of cohomological obstacles. Using the pure spinor formalism, we develop a framework to describe these obstacles, and formulate conjectures about their structure. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_14455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deformations of AdS and exact sequences Mikhailov, Andrei High Energy Physics - Theory 83E50, 17B55, 81T35 We give examples of cohomologies of the superconformal algebra, relevant to computations in the AdS supergravity. Our main examples are deformations of $AdS_5\times S^5$ transforming in finite-dimensional representations of the superconformal algebra at the linearized level. In the study of correlation functions, it is important to compute the resolution of BRST-exact products of vertex operators. The resolution is typically non-covariant, because of cohomological obstacles. Using the pure spinor formalism, we develop a framework to describe these obstacles, and formulate conjectures about their structure. |
| title | Deformations of AdS and exact sequences |
| topic | High Energy Physics - Theory 83E50, 17B55, 81T35 |
| url | https://arxiv.org/abs/2412.14455 |