Defects, non-abelian t-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields
- 254 Downloads
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 Poincarè 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.
KeywordsD-branes Conformal Field Models in String Theory String Duality
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- C. Bartocci, U. Bruzzo and D.H. Ruipérez, Fourier-Mukai and Nahm transform and applications in mathematical physics, Progress in Mathematics volume 276, Birkhäuser, Spinger, Germany (2009).Google Scholar
- R. Bott and L.W. Tu, Differential forms in algebraic topology, Springer, Germany (1995).Google Scholar