Bundle Gerbes for Orientifold Sigma Models

TL;DR

This paper explores the use of bundle gerbes and their modules in orientifold sigma models, extending their application to include open and closed strings with additional structures for flux contributions.

Contribution

It introduces new structures on bundle gerbes and modules specifically tailored for orientifold sigma models involving open and closed strings.

Findings

Extended bundle gerbe structures for orientifold models

Framework for holonomy calculations in orientifold backgrounds

Application to flux contributions in string amplitudes

Abstract

Bundle gerbes with connection and their modules play an important role in the theory of two-dimensional sigma models with a background Wess-Zumino flux: their holonomy determines the contribution of the flux to the Feynman amplitudes of classical fields. We discuss additional structures on bundle gerbes and gerbe modules needed in similar constructions for orientifold sigma models describing closed and open strings.