Zoology of heterotic supercurrent supermultiplets in d=2

TL;DR

This paper explores various heterotic supercurrent supermultiplets in two-dimensional quantum field theories, analyzing symmetry conditions and introducing novel supergravity models, including those with Lifshitz and warped conformal symmetries.

Contribution

It classifies heterotic supercurrent supermultiplets in 2D theories and proposes new supergravity models, expanding understanding of symmetry structures and exotic possibilities.

Findings

Classification of heterotic supercurrent supermultiplets

Conditions for symmetry enhancement in 2D theories

Proposal of a novel heterotic supergravity based on virial supercurrent

Abstract

We present various (0,2) heterotic supercurrent supermultiplets in (1+1) dimensional quantum field theories. From the minimal supercurrent supermultiplets, we deduce conditions on symmetry enhancement such as Lorentz invariance, (chiral) dilatation invariance, R-invariance, (chiral) conformal invariance and their various combinations. Our construction covers many interesting and/or exotic possibilities such as Lifshitz supersymmetry and warped superconformal algebra. We also discuss the corresponding supergravity by gauging the supercurrent supermultiplet. In particular, we propose a novel class of heterotic supergravity based on the virial supercurrent.