Non-geometric fluxes & tadpole conditions for exotic branes

TL;DR

This paper extends flux analysis in a type-II orientifold model to include all non-geometric fluxes, deriving T-duality rules, superpotentials, and identifying exotic branes for tadpole cancellation, respecting duality symmetries.

Contribution

It provides a comprehensive framework for non-geometric fluxes, superpotentials, and exotic branes in a specific string theory model, including duality representations.

Findings

Derived universal T-duality rules for all fluxes.

Constructed a complete superpotential including non-geometric fluxes.

Identified all exotic branes needed for tadpole cancellation.

Abstract

We extend the $P$-flux analysis carried out recently on the $T^6/[\mathbb{Z}_2 \times \mathbb{Z}_2 ]$ type-II orientifold model to include all the possible non-geometric fluxes. By deriving universal T-duality rules for all the fluxes, we are able to write down a complete expression for the superpotential for both the IIB and IIA theories. By exploiting the universal T-duality rules that apply to all the branes in string theory, we then identify all the exotic branes that can be consistently included to cancel the tadpoles induced by the fluxes. Finally, we derive the representations of these branes with respect to the $SL(2,\mathbb{Z})^7$ duality symmetry of the model.