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. 

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References

SHOWING 1-10 OF 25 REFERENCES

WZW BRANES AND GERBES

We reconsider the role that bundle gerbes play in the formulation of the WZW model on closed and open surfaces. In particular, we show how an analysis of bundle gerbes on groups covered by SU(N)

Unoriented WZW Models and Holonomy of Bundle Gerbes

The Wess-Zumino term in two-dimensional conformal field theory is best understood as a surface holonomy of a bundle gerbe. We define additional structure for a bundle gerbe that allows to extend the

Notes on Orientifolds of Rational Conformal Field Theories

We review and develop the construction of crosscap states associated with parity symmetries in rational conformal field theories. A general method to construct crosscap states in abelian orbifold

Twisted K-Theory and K-Theory of Bundle Gerbes

Abstract: In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-theory to

The Geometry of Bundle Gerbes

This thesis reviews the theory of bundle gerbes and then examines the higher dimensional notion of a bundle 2-gerbe. The notion of a bundle 2-gerbe connection and 2-curving are introduced and it is

Basic gerbe over non-simply connected compact groups

Bundle Gerbes: Stable Isomorphism and Local Theory

The notion of stable isomorphism of bundle gerbes is considered. It has the consequence that the stable isomorphism classes of bundle gerbes over a manifold M are in bijective correspondence with

More morphisms between bundle gerbes.

Usually bundle gerbes are considered as objects of a 2-groupoid, whose 1- morphisms, called stable isomorphisms, are all invertible. I introduce new 1-morphisms which include stable isomorphisms,

Spectra of Wess-Zumino-Witten models with arbitrary simple groups

We consider the Wess-Zumino-Witten two-dimensional sigma models with fields taking values in an arbitrary connected (but not necessarily simply connected) simple Lie groupG. The quantum states of the