# Penrose limits and spin chains in the GJV/CS-SYM duality

## TL;DR

This paper explores Penrose limits in a specific gauge/gravity duality, revealing how string excitations relate to spin chains and highlighting differences from more supersymmetric models.

## Contribution

It analyzes Penrose limits in the GJV/CS-SYM duality, connecting string states to spin chains and identifying functions interpolating between perturbative and string regimes.

## Key findings

- Functions $f_a(mbda)$ interpolate between perturbative and string regimes.
- Matching open string results with field theory remains unresolved.
- The model exhibits less supersymmetry, making it more complex than ABJM.

## Abstract

We examine Penrose limits of the duality proposed by Guarino, Jafferis and Varela between a type IIA massive background of the type of a warped, squashed $AdS_4\times S^6$, and a 2+1 dimensional IR fixed point of ${\cal N}=8$ super Yang-Mills deformed by Chern-Simons terms to ${\cal N}=2$ supersymmetry. One type of Penrose limit for closed strings corresponds to a large charge closed spin chain, and another, for open strings on giant graviton D-branes, corresponds to an open spin chain on sub-determinant operators. For the first limit, we find that like in the ABJM case, there are functions $f_a(\lambda)$ that interpolate between the perturbative and nonperturbative (string) regions for the magnon energy. For the second, we are unable to match the gravity result with the expected field theory result, making this model more interesting than ones with more supersymmetry.