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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Deformations, renormgroup, symmetries, AdS/CFT

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Autor(es):
Mikhailov, Andrei
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: Nuclear Physics B; v. 952, MAR 2020.
Citações Web of Science: 0
Resumo

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)

Processo FAPESP: 14/18634-9 - Dualidade gravitação/Teoria de Gauge
Beneficiário:Victor de Oliveira Rivelles
Modalidade de apoio: Auxílio à Pesquisa - Temático