Deformations, renormgroup, symmetries, AdS/CFT
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 strong...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-03-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321320300043 |
| _version_ | 1819108294615105536 |
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| author | Andrei Mikhailov |
| author_facet | Andrei Mikhailov |
| author_sort | Andrei Mikhailov |
| collection | DOAJ |
| description | 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 diagrams of 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. |
| first_indexed | 2024-12-22T03:07:39Z |
| format | Article |
| id | doaj.art-75209d51039c430fa949af2d19ff43a8 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-22T03:07:39Z |
| publishDate | 2020-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-75209d51039c430fa949af2d19ff43a82022-12-21T18:41:01ZengElsevierNuclear Physics B0550-32132020-03-01952Deformations, renormgroup, symmetries, AdS/CFTAndrei Mikhailov0Instituto de Física Teórica, Universidade Estadual Paulista, R. Dr. Bento Teobaldo Ferraz 271, Bloco II – Barra Funda, CEP 01140-070 – São Paulo, BrazilWe 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 diagrams of 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.http://www.sciencedirect.com/science/article/pii/S0550321320300043 |
| spellingShingle | Andrei Mikhailov Deformations, renormgroup, symmetries, AdS/CFT Nuclear Physics B |
| title | Deformations, renormgroup, symmetries, AdS/CFT |
| title_full | Deformations, renormgroup, symmetries, AdS/CFT |
| title_fullStr | Deformations, renormgroup, symmetries, AdS/CFT |
| title_full_unstemmed | Deformations, renormgroup, symmetries, AdS/CFT |
| title_short | Deformations, renormgroup, symmetries, AdS/CFT |
| title_sort | deformations renormgroup symmetries ads cft |
| url | http://www.sciencedirect.com/science/article/pii/S0550321320300043 |
| work_keys_str_mv | AT andreimikhailov deformationsrenormgroupsymmetriesadscft |