Holographic duals of $\mathcal{N}=1$ quivers in 5d and their nonrelativistic limits

Abstract

We explore nonrelativistic limits of $\mathcal{N}=1$ quiver gauge theories in 5d. The stringy counterpart of these SCFTs is characterised by torsional string Newton-Cartan (TSNC) sigma models those are defined over non-Lorentzian manifolds. We further show that under transverse T-duality, these TSNC sigma models are mapped into another new class of nonrelativistic sigma models those are defined over a T-dual TSNC background. Considering nonrelativistic limits of various field theory observables in a holographic set up, we further estimate corresponding entities in the TSNC limit of $\mathcal{N}=1$ quivers. We carry out a parallel analysis on holomorphic functions and the associated pole structures in the nonrelativistic limit of ($p,q$) five brane webs. In particular, we investigate the generic structure of various loop operators in a nonrelativistic set up and explore their properties under S-duality. Finally, we comment on the large $c$ limit of RR fields and discuss the associated S-duality transformation rules in the nonrelativistic limit of $\mathcal{N}=1$ quivers.

arXiv commentv2, Title changed, results and conclusion unchanged, To Appear In Phys. Rev. D

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