# Massive Deformations of Type IIA Theory Within Double Field Theory

## TL;DR

This paper derives massive deformations of Type IIA supergravity by applying duality twisted reductions in Double Field Theory, revealing new ways to generate mass terms and their implications for gauge invariance and constraints.

## Contribution

It introduces a method to obtain massive Type IIA theories via duality twisted reductions of DFT, including explicit twist matrices and analysis of gauge invariance and constraints.

## Key findings

- Massive deformations of Type IIA are achieved through specific twist matrices.
- Some deformations require the dilaton to depend linearly on dual coordinates.
- Certain twists violate weak and strong constraints in the internal space.

## Abstract

We obtain massive deformations of Type IIA supergravity theory through duality twisted reductions of Double Field Theory (DFT) of massless Type II strings. The mass deformation is induced through the reduction of the DFT of the RR sector. Such reductions are determined by a twist element belonging to $Spin^+(10,10)$, which is the duality group of the DFT of the RR sector. We determine the form of the twists and give particular examples of twist matrices, for which a massive deformation of Type IIA theory can be obtained. In one of the cases, requirement of gauge invariance of the RR sector implies that the dilaton field must pick up a linear dependence on one of the dual coordinates. In another case, the choice of the twist matrix violates the weak and the strong constraints explicitly in the internal doubled space.