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arxiv: 0810.3159 · v2 · submitted 2008-10-17 · ✦ hep-th

Some remarks on defects and T-duality

classification ✦ hep-th
keywords actionconformaldefectsfieldt-dualityalgebraicb-fieldbibranes
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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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  1. Stringy T-duality on the lattice and the twisted Villain model

    hep-th 2026-05 unverdicted novelty 7.0

    Introduces the twisted Villain model to realize exact T-duality on the lattice for fibred manifolds, recovering bundle-flux exchange and defining topological defects via half-gauging.