{"title":"Correlation Functions in Holographic RG Flow of 3d Supergravity","authors":"K. Arkhipova","doi":"10.1134/S1547477124700614","DOIUrl":null,"url":null,"abstract":"<p>In this work we study holographic RG flows in <span>\\(3\\)</span>-dimensional supergravity model with a scalar field and non-trivial potential. The holographic RG flow is described by the domain wall solution, which is asymptotically AdS and includes a scalar field and is defined by the Dirichlet boundary conditions. This solution can be interpreted as a deformation of a dual theory either by a relevant operator or a vacuum expectation value (VEV) of the operator. VEVs of the scalar operators are calculated which confirm that the interpretation of the deformation of the dual theory is valid.</p>","PeriodicalId":730,"journal":{"name":"Physics of Particles and Nuclei Letters","volume":"21 4","pages":"571 - 573"},"PeriodicalIF":0.4000,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of Particles and Nuclei Letters","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1547477124700614","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
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Abstract
In this work we study holographic RG flows in \(3\)-dimensional supergravity model with a scalar field and non-trivial potential. The holographic RG flow is described by the domain wall solution, which is asymptotically AdS and includes a scalar field and is defined by the Dirichlet boundary conditions. This solution can be interpreted as a deformation of a dual theory either by a relevant operator or a vacuum expectation value (VEV) of the operator. VEVs of the scalar operators are calculated which confirm that the interpretation of the deformation of the dual theory is valid.
期刊介绍：
The journal Physics of Particles and Nuclei Letters, brief name Particles and Nuclei Letters, publishes the articles with results of the original theoretical, experimental, scientific-technical, methodological and applied research. Subject matter of articles covers: theoretical physics, elementary particle physics, relativistic nuclear physics, nuclear physics and related problems in other branches of physics, neutron physics, condensed matter physics, physics and engineering at low temperatures, physics and engineering of accelerators, physical experimental instruments and methods, physical computation experiments, applied research in these branches of physics and radiology, ecology and nuclear medicine.
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