Non-geometric fluxes & tadpole conditions for exotic branes

Davide M Lombardo,Stefano Risoli,Fabio Riccioni

doi:10.1007/jhep10(2017)134

Davide M Lombardo, Stefano Risoli + Show 1 more

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https://doi.org/10.1007/jhep10(2017)134

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Abstract

We extend the mathcal{P} -flux analysis carried out recently on the T6/[ℤ2 × ℤ2] 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, ℤ)7 duality symmetry of the model.

Highlights

The fluxes are such that if a is upstairs it coincides with one of the b indices, while if it is downstairs it differs from all the b indices
We extend the P-flux analysis carried out recently on the T 6/[Z2 × Z2] type-II orientifold model to include all the possible non-geometric fluxes
One can determine for the T 6/[Z2 × Z2] orientifold which fluxes can be included in both the IIB and IIA theory following precisely the same method used for the NS fluxes: one first maps the flux Pabc of IIB to the dual IIA theory by performing three T-dualities, extends this to include all the allowed IIA fluxes, and one maps this back to IIB

Summary

Introduction

The fluxes are such that if a is upstairs it coincides with one of the b indices, while if it is downstairs it differs from all the b indices. This result is achieved by exploiting the universal Tduality rule derived in [17] which states as follows: given an α = −n brane associated to a mixed-symmetry potential such that the a index occurs p times (in p different sets of antisymmetric indices), this is mapped by T-duality along a to the brane associated to the potential in which the a index occurs n − p times This can be written as α = −n: a, a, .

Objectives

Conclusion