$N=1$, 2D-Induced Polyakov Supergravity on a Super Riemann Surface

TL;DR

This paper derives an effective action for N=1, two-dimensional induced supergravity in the chiral gauge on compact super Riemann surfaces of any genus, advancing understanding of supergravity in complex geometries.

Contribution

It provides a new explicit form of the effective action for N=1 supergravity on super Riemann surfaces, extending previous work to arbitrary genus.

Findings

Effective action derived for N=1 supergravity on super Riemann surfaces.

Applicable to surfaces of arbitrary genus.

Advances theoretical understanding of supergravity in complex geometries.

Abstract

An effective action for $N=1$, 2d-induced supergravity in the chiral gauge is obtained on a compact super Riemann surface without boundary and of arbitrary genus.