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arXiv · 1310.1264

Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields

Eva Gevorgyan·Gor Sarkissian
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Abstract

We construct topological defects generating non-abelian T-duality for isometry groups acting without isotropy. We find that these defects are given by line bundles on the correspondence space with curvature which can be considered as a non-abelian generalization of the curvature of the Poincar\`{e} bundle. We show that the defect equations of motion encode the non-abelian T-duality transformation. The Fourier-Mukai transform of the Ramond-Ramond fields generated by the gauge invariant flux of these defects is studied. We show that it provides elegant and compact way of computation of the transformation of the Ramond-Ramond fields under the non-abelian T-duality.

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Eva Gevorgyan, Gor Sarkissian. 2013-10-04. Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields. https://doi.org/10.1007/jhep03(2014)035

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