A holographic study of the a-theorem and RG flow in general quadratic curvature gravity

A holographic study of the a-theorem and RG flow in general quadratic curvature gravity

Abstract We use the holographic language to show the existence of the a-theorem for even dimensional CFTs, dual to the AdS space in general quadratic curvature gravity. We find the Wess-Zumino action which is originated from the spontaneous breaking of the conformal symmetry in $$d\le 8$$ d≤8 , by u...

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Main Authors: Malihe Siahvoshan, Ahmad Ghodsi
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-7345-8
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spelling doaj-f507e7d0abea4af8a2ac8ac7c58280552020-11-25T03:17:33ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-10-01791011510.1140/epjc/s10052-019-7345-8A holographic study of the a-theorem and RG flow in general quadratic curvature gravityMalihe Siahvoshan0Ahmad Ghodsi1Department of Physics, Faculty of Science, Ferdowsi University of MashhadDepartment of Physics, Faculty of Science, Ferdowsi University of MashhadAbstract We use the holographic language to show the existence of the a-theorem for even dimensional CFTs, dual to the AdS space in general quadratic curvature gravity. We find the Wess-Zumino action which is originated from the spontaneous breaking of the conformal symmetry in $$d\le 8$$ d≤8 , by using a radial cut-off near the AdS boundary. We also study the RG flow and (average) null energy condition in the space of the couplings of theory. In a simple toy model, we find the regions where this holographic RG flow has a monotonic decreasing behavior.http://link.springer.com/article/10.1140/epjc/s10052-019-7345-8
collection DOAJ
language English
format Article
sources DOAJ
author Malihe Siahvoshan
Ahmad Ghodsi
spellingShingle Malihe Siahvoshan
Ahmad Ghodsi
A holographic study of the a-theorem and RG flow in general quadratic curvature gravity
European Physical Journal C: Particles and Fields
author_facet Malihe Siahvoshan
Ahmad Ghodsi
author_sort Malihe Siahvoshan
title A holographic study of the a-theorem and RG flow in general quadratic curvature gravity
title_short A holographic study of the a-theorem and RG flow in general quadratic curvature gravity
title_full A holographic study of the a-theorem and RG flow in general quadratic curvature gravity
title_fullStr A holographic study of the a-theorem and RG flow in general quadratic curvature gravity
title_full_unstemmed A holographic study of the a-theorem and RG flow in general quadratic curvature gravity
title_sort holographic study of the a-theorem and rg flow in general quadratic curvature gravity
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2019-10-01
description Abstract We use the holographic language to show the existence of the a-theorem for even dimensional CFTs, dual to the AdS space in general quadratic curvature gravity. We find the Wess-Zumino action which is originated from the spontaneous breaking of the conformal symmetry in $$d\le 8$$ d≤8 , by using a radial cut-off near the AdS boundary. We also study the RG flow and (average) null energy condition in the space of the couplings of theory. In a simple toy model, we find the regions where this holographic RG flow has a monotonic decreasing behavior.
url http://link.springer.com/article/10.1140/epjc/s10052-019-7345-8
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AT ahmadghodsi aholographicstudyoftheatheoremandrgflowingeneralquadraticcurvaturegravity
AT malihesiahvoshan holographicstudyoftheatheoremandrgflowingeneralquadraticcurvaturegravity
AT ahmadghodsi holographicstudyoftheatheoremandrgflowingeneralquadraticcurvaturegravity
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