| Full text | |
| Author(s): |
Mikhailov, Andrei
Total Authors: 1
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| Document type: | Journal article |
| Source: | Nuclear Physics B; v. 952, MAR 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We consider the deformations of a supersymmetric quantum field theory by adding spacetime-dependent terms to the action. We propose to describe the renormalization of such deformations in terms of some cohomological invariants, a class of solutions of a Maurer-Cartan equation. We consider the strongly coupled limit of N = 4 supersymmetric Yang-Mills theory. In the context of AdS/CFT correspondence, we explain what corresponds to our invariants in classical supergravity. There is a leg amputation procedure, which constructs a solution of the Maurer-Cartan equation from tree diagramsof SUGRA. We consider a particular example of the beta-deformation. It is known that the leading term of the beta-function is cubic in the parameter of the beta-deformation. We give a cohomological interpretation of this leading term. We conjecture that it is actually encoded in some simpler cohomology class, which is quadratic in the parameter of the beta-deformation. (C) 2020 The Author. Published by Elsevier B.V. (AU) | |
| FAPESP's process: | 14/18634-9 - Gauge/Gravity duality |
| Grantee: | Victor de Oliveira Rivelles |
| Support Opportunities: | Research Projects - Thematic Grants |