# Supersymmetric Landau-Ginzburg Tensor Models

## TL;DR

This paper explores two-dimensional supersymmetric tensor models with anisotropic superpotentials, aiming to construct large central charge superconformal theories solvable via large N techniques, and discusses their fixed points and holographic relevance.

## Contribution

It introduces anisotropic tensor Landau-Ginzburg models that break continuous symmetries while maintaining large N solvability, expanding the landscape of solvable superconformal field theories.

## Key findings

- Viability of anisotropic tensor models for large N superconformal theories
- Detailed analysis of low energy fixed points in these models
- Presence of non-compact Higgs branches in gauged versions

## Abstract

We study two dimensional $\mathcal{N} = (2, 2)$ Landau-Ginzburg models with tensor valued superfields with the aim of constructing large central charge superconformal field theories which are solvable using large $N$ techniques. We demonstrate the viability of such constructions and motivate the study of anisotropic tensor models. Such theories are a novel deformation of tensor models where we break the continuous symmetries while preserving the large $N$ solvability. Specifically, we examine theories with superpotentials involving tensor contractions chosen to pick out melonic diagrams. The anisotropy is introduced by further biasing individual terms by different coefficients, all of the same order, to retain large $N$ scaling. We carry out a detailed analysis of the resulting low energy fixed point and comment on potential applications to holography. Along the way we also examine gauged versions of the models (with partial anisotropy) and find generically that such theories have a non-compact Higgs branch of vacua.