Massive Type II in Double Field Theory

TL;DR

This paper extends double field theory to include massive Type II supergravity by allowing RR fields to depend on dual coordinates, leading to a new formulation that captures Romans' mass and T-dual configurations.

Contribution

It introduces a novel extension of double field theory where RR fields depend on both space-time and dual coordinates, capturing massive deformations of Type II supergravity.

Findings

Derived massive Type IIA supergravity from double field theory.

Obtained a non-covariant massive Type IIB formulation via T-duality.

Demonstrated dependence of RR fields on dual coordinates leads to mass terms.

Abstract

We provide an extension of the recently constructed double field theory formulation of the low-energy limits of type II strings, in which the RR fields can depend simultaneously on the 10-dimensional space-time coordinates and linearly on the dual winding coordinates. For the special case that only the RR one-form of type IIA carries such a dependence, we obtain the massive deformation of type IIA supergravity due to Romans. For T-dual configurations we obtain a `massive' but non-covariant formulation of type IIB, in which the 10-dimensional diffeomorphism symmetry is deformed by the mass parameter.