Democratic actions for type II supergravities

TL;DR

This paper introduces a universal democratic Lagrangian for bosonic sectors of ten-dimensional type II supergravities, treating electric and magnetic potentials equally, and derives the self-duality condition for the five-form in type IIB.

Contribution

It provides a unified Lagrangian framework for type II supergravities that incorporates electric-magnetic duality and manifest symmetries, including an alternative form for type IIB.

Findings

Derived the self-duality equation for the five-form in type IIB.

Presented a universal democratic Lagrangian for all RR fields.

Constructed an alternative action with manifest $SL(2, ext{R})$ symmetry.

Abstract

We present a universal democratic Lagrangian for the bosonic sector of ten-dimensional type II supergravities, treating "electric" and "magnetic" potentials of all RR fields on equal footing. For type IIB, this includes the five-form whose self-duality equation is derived from the Lagrangian. We also present an alternative form of the action for type IIB, with manifest $SL(2,\mb R)$ symmetry.