# Bundle Gerbes for Orientifold Sigma Models

@article{Gawdzki2008BundleGF, title={Bundle Gerbes for Orientifold Sigma Models}, author={Krzysztof Gawȩdzki and Rafał R. Suszek and Konrad Waldorf}, journal={arXiv: Mathematical Physics}, year={2008} }

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.

#### 36 Citations

Non-abelian gerbes and some applications in string theory

- Physics, Mathematics
- 2018

We review a systematic construction of the 2-stack of bundle gerbes via descent, and extend it to non-abelian gerbes. We review the role of non-abelian gerbes in orientifold sigma models, for the… Expand

Bundle gerbes and surface holonomy

- Mathematics, Physics
- 2009

Hermitian bundle gerbes with connection are geometric objects for which a notion of surface holonomy can be defined for closed oriented surfaces. We systematically introduce bundle gerbes by closing… Expand

Bundle gerbes for topological insulators

- Physics, Mathematics
- 2015

Bundle gerbes are simple examples of higher geometric structures that show their utility in dealing with topological subtleties of physical theories. I review a recent construction of torsion… Expand

THE GAUGING OF TWO-DIMENSIONAL BOSONIC SIGMA MODELS ON WORLD-SHEETS WITH DEFECTS

- Mathematics
- 2013

We extend our analysis of the gauging of rigid symmetries in bosonic two-dimensional sigma models with Wess–Zumino terms in the action to the case of world-sheets with defects. A structure that… Expand

The gauging of two-dimensional bosonic sigma models on world-sheets with defects

- Mathematics, Physics
- 2013

We extend our analysis of the gauging of rigid symmetries in bosonic two-dimensional sigma models with Wess–Zumino terms in the action to the case of world-sheets with defects. A structure that… Expand

A Variant of K-Theory and Topological T-Duality for Real Circle Bundles

- Mathematics, Physics
- 2015

For a space with involutive action, there is a variant of K-theory. Motivated by T-duality in type II orbifold string theory, we establish that a twisted version of the variant enjoys a topological… Expand

Square root of gerbe holonomy and invariants of time-reversal-symmetric topological insulators

- Mathematics, Physics
- 2017

Abstract The Feynman amplitudes with the two-dimensional Wess–Zumino action functional have a geometric interpretation as bundle gerbe holonomy. We present details of the construction of a… Expand

Transgression to Loop Spaces and its Inverse, II: Gerbes and Fusion Bundles with Connection

- Mathematics, Physics
- 2010

We prove that the category of abelian gerbes with connection over a smooth manifold is equivalent to a certain category of principal bundles over the free loop space. These bundles are equipped with… Expand

Spin structures and superstrings

- Physics, Mathematics
- 2010

In superstring theory spin structures are present on both the 2-dimensional worldsheet and 10-dimensional spacetime. We present a new proposal for the B-field in superstring theory and demonstrate… Expand

Gerbe-holonomy for surfaces with defect networks

- Physics, Mathematics
- 2008

We define the sigma-model action for world-sheets with embedded defect networks in the presence of a three-form field strength. We derive the defect gluing condition for the sigma-model fields and… Expand

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