Bundle Gerbes and Surface Holonomy
Abstract
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 the prestack of trivial bundle gerbes under descent. Inspired by structures arising in a representation theoretic approach to rational conformal field theories, we introduce geometric structure that is appropriate to define surface holonomy in more general situations: Jandl gerbes for unoriented surfaces, Dbranes for surfaces with boundaries, and bibranes for surfaces with defect lines.
 Publication:

arXiv eprints
 Pub Date:
 January 2009
 DOI:
 10.48550/arXiv.0901.2085
 arXiv:
 arXiv:0901.2085
 Bibcode:
 2009arXiv0901.2085F
 Keywords:

 Mathematics  Differential Geometry;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 25 pages