Corpus ID: 55265906

Non-abelian gerbes and some applications in string theory

  title={Non-abelian gerbes and some applications in string theory},
  author={Christoph Schweigert and Konrad Waldorf},
  journal={arXiv: High Energy Physics - Theory},
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 anomaly cancellation in supersymmetric sigma models, and in a geometric description of so-called non-geometric T-duals. 
1 Citations
Gerbes in Geometry, Field Theory, and Quantisation
Abstract This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation. We cover the definition of bundle gerbes


Bundle Gerbes for Orientifold Sigma Models
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
Higher Geometry for Non-geometric T-Duals
We investigate topological T-duality in the framework of non-abelian gerbes and higher gauge groups. We show that this framework admits the gluing of locally defined T-duals, in situations where no
We recall and partially expand four versions of smooth, non-abelian gerbes: Cech cocycles, classifying maps, bundle gerbes, and principal 2-bundles. We prove that all these four versions are
Determinants, torsion, and strings
We apply the results of [BF1, BF2] on determinants of Dirac operators to String Theory. For the bosonic string we recover the “holomorphic factorization” of Belavin and Knizhik. Witten's global
Nonabelian Bundle Gerbes, Their Differential Geometry and Gauge Theory
Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied
Basic gerbe over non-simply connected compact groups
Abstract We present an explicit construction of the basic bundle gerbes with connection over all connected compact simple Lie groups. These are geometric objects that appear naturally in the
String Structures and Trivialisations of a Pfaffian Line Bundle
The present paper is a contribution to categorial index theory. Its main result is the calculation of the Pfaffian line bundle of a certain family of real Dirac operators as an object in the category
String connections and Chern-Simons theory
We present a finite-dimensional and smooth formulation of string structures on spin bundles. It uses trivializations of the Chern-Simons 2-gerbe associated to this bundle. Our formulation is
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We characterize orbifolds in terms of their sheaves, and show that orbifolds correspond exactly to a specific class of smooth groupoids. As an application, we construct fibered products of orbifolds
Basic equivariant gerbes on non-simply connected compact simple Lie groups
  • D. Krepski
  • Mathematics
    Journal of Geometry and Physics
  • 2018
Abstract This paper computes the obstruction to the existence of equivariant extensions of basic gerbes over non-simply connected compact simple Lie groups. By modifying a (finite dimensional)