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.

v2, Title changed, results and conclusion unchanged, To Appear In Phys. Rev. D

References in corpus (14)

• Non-Relativistic Strings and Limits of the AdS/CFT Correspondence
• Torsional string Newton-Cartan geometry for non-relativistic strings
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• Exact results for 5d SCFTs of long quiver type
• A Non-Relativistic Limit of NS-NS Gravity
• On the Non-Relativistic Expansion of Closed Bosonic Strings
• Electrostatic Description of Five-dimensional SCFTs
• Torsional Deformation of Nonrelativistic String Theory
• T-Duality in Nonrelativistic Open String Theory
• Wilson loops in 5d long quiver gauge theories
• Surface defects in holographic 5d SCFTs
• AdS${}_6$/CFT${}_5$ with O7-planes
• Evidence for a 5d F-theorem
• Non-integrability for $\mathcal{N}=1$ SCFTs in $5d$