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Some remarks on defects and T-duality

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  • Gor Sarkissian, Denmark
  • Christoph Schweigert, Denmark
  • Centre for Quantum Geometry of Moduli Spaces
  • Department of Mathematical Sciences
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 Poincaré 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 S1-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.
Original languageEnglish
JournalNuclear Physics, Section B
Volume819
Issue3
Pages (from-to)478--490
Number of pages13
ISSN0550-3213
DOIs
Publication statusPublished - 2009

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