Some remarks on defects and T-duality

Details Some remarks on defects and T-duality Some remarks on defects and T-duality

2008-10-17

arxiv.org/abs/0810.3159v2

Nucl.Phys.B819:478-490,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages

Scientific paper

10.1016/j.nuclphysb.2009.04.016

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.

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