English

Some remarks on defects and T-duality

High Energy Physics - Theory 2009-06-19 v2

Abstract

The equations of motion for a conformal field theory in the presence of defect lines can be derived from an action that includes contributions from bibranes. For T-dual toroidal compactifications, they imply a direct relation between Poincare line bundles and the action of T-duality on boundary conditions. We also exhibit a class of diagonal defects that induce a shift of the B-field. We finally study T-dualities for S^1-fibrations in the example of the Wess-Zumino-Witten model on SU(2) and lens spaces. Using standard techniques from D-branes, we derive from algebraic data in rational conformal field theories geometric structures familiar from Fourier-Mukai transformations.

Keywords

Cite

@article{arxiv.0810.3159,
  title  = {Some remarks on defects and T-duality},
  author = {Gor Sarkissian and Christoph Schweigert},
  journal= {arXiv preprint arXiv:0810.3159},
  year   = {2009}
}

Comments

19 pages

R2 v1 2026-06-21T11:32:01.259Z