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

TL;DR

This paper investigates nonrelativistic limits of 5d $ abla=1$ quiver gauge theories and their holographic duals, introducing torsional string Newton-Cartan models and analyzing their properties under T-duality and S-duality.

Contribution

It introduces a new class of nonrelativistic sigma models over TSNC backgrounds and explores their dualities and holographic implications for $ abla=1$ quiver theories.

Findings

TSNC sigma models map into new models under T-duality.

Holographic estimates of observables in the nonrelativistic limit.

Analysis of pole structures and loop operators under S-duality.

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.