Observables in the Guarino-Jafferis-Varela/CS-SYM duality

Abstract We study various semiclassical observables in the duality proposed by Guarino, Jafferis and Varela, between a warped AdS 4× squashed S 6 gravitational solution and a 3 dimensional N = 2 S Y M − C S k $$ \mathcal{N}=2\ \mathrm{S}\mathrm{Y}\mathrm{M}-{\mathrm{CS}}_k $$ conformal gauge theory,...

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Bibliographic Details
Main Authors: Thiago R. Araujo, Horatiu Nastase
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP07(2017)020
Description
Summary:Abstract We study various semiclassical observables in the duality proposed by Guarino, Jafferis and Varela, between a warped AdS 4× squashed S 6 gravitational solution and a 3 dimensional N = 2 S Y M − C S k $$ \mathcal{N}=2\ \mathrm{S}\mathrm{Y}\mathrm{M}-{\mathrm{CS}}_k $$ conformal gauge theory, deformed from the maximal SU(N) N = 8 S Y M $$ \mathcal{N}=8\mathrm{S}\mathrm{Y}\mathrm{M} $$ . Baryonverticescorrespondingtoparticle-likebraneshaveunusualbehaviour with N and k and present strong evidence for a certain level-rank duality. Wilson loops and the anomalous dimensions of operators of high spin scale like (N/k)3/2. The entanglement entropy behaves like in a usual CFT. Giant magnon operators obey the same law as in 4 dimensional N = 4 S Y M $$ \mathcal{N}=4\ \mathrm{S}\mathrm{Y}\mathrm{M} $$ , and giant gravitons are also sub-determinant operators.
ISSN:1029-8479