Supergravity without gravity and its BV formulation

TL;DR

This paper introduces a simplified dilaton-dilatino theory derived from 10D supergravity, maintaining key symmetries and enabling a complete BV formulation, facilitating deeper understanding of supergravity's structure.

Contribution

It presents a new limit of supergravity focusing on dilaton and dilatino fields, and constructs a full BV extension for this simplified model.

Findings

The theory retains invariance under generalized diffeomorphisms and supersymmetry.

A complete BV formulation is achieved for the simplified dilatonic theory.

The model serves as a useful framework for exploring supergravity's subtle aspects.

Abstract

The generalised-geometric formulation of 10-dimensional supergravity suggests a particular simple "limit", which results in a theory whose only dynamical degrees of freedom are the dilaton and the dilatino. The theory is still invariant both under generalised diffeomorphisms and a local supersymmetry and in many aspects is structurally similar to the original supergravity, which makes it a convenient playground for understanding more subtle aspects of the full physical setup. In particular, the simplicity and the geometric nature of the dilatonic theory allow us to build a full BV extension to all orders in the fermionic variables.