Exotic Dual of Type II Double Field Theory

TL;DR

This paper develops an exotic dualization of Ramond-Ramond fields in type II double field theory, revealing a dual tensor-spinor formulation with self-duality constraints, and extends the method to self-dual fields like the type IIB 4-form.

Contribution

It introduces a novel dualization approach for RR fields in double field theory, resulting in a tensor-spinor formulation with self-duality, and generalizes exotic dualizations to self-dual fields.

Findings

Derived a dual tensor-spinor formulation of RR fields.

Established self-duality constraints in the dual theory.

Extended exotic dualizations to self-dual fields like the type IIB 4-form.

Abstract

We perform an exotic dualization of the Ramond-Ramond fields in type II double field theory, in which they are encoded in a Majorana-Weyl spinor of O(D,D). Starting from a first-order master action, the dual theory in terms of a tensor-spinor of O(D,D) is determined. This tensor-spinor is subject to an exotic version of the (self-)duality constraint needed for a democratic formulation. We show that in components, reducing O(D,D) to GL(D), one obtains the expected exotically dual theory in terms of mixed Young tableaux fields. To this end, we generalize exotic dualizations to self-dual fields, such as the 4-form in type IIB string theory.