Carroll dilaton supergravity in two dimensions

TL;DR

This paper develops and analyzes two-dimensional Carroll dilaton supergravity models with N=1 and N=2 supersymmetry, including specific boundary conditions and two variants for N=2, expanding the theoretical landscape of supergravity in Carrollian limits.

Contribution

The paper introduces the first constructions of N=1 and N=2 Carroll dilaton supergravity in two dimensions, including novel boundary conditions and two versions of N=2 models.

Findings

Construction of N=1 and N=2 Carroll dilaton supergravity models

Introduction of 'democratic' and 'despotic' N=2 variants

Application to supersymmetric Carroll-Jackiw-Teitelboim model

Abstract

We construct and discuss generic N=1 and N=2 Carroll dilaton supergravity in two dimensions. We apply our general results to the supersymmetric Carroll-Jackiw-Teitelboim model, including a discussion of specific boundary conditions. For N=2 Carroll dilaton supergravity, we find two versions, dubbed "democratic" and "despotic".