Topology Change from (Heterotic) Narain T-Duality

Details Topology Change from (Heterotic) Narain T-Duality Topology Change from (Heterotic) Narain T-Duality

2008-11-24

arxiv.org/abs/0811.3866v2

Nucl.Phys.B820:213-236,2009

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 1 figure (xymatrix), typo fixed, ref added

Scientific paper

10.1016/j.nuclphysb.2009.05.021

We consider Narain T-duality on a nontrivially fibered n-torus bundle in the presence of a topologically nontrivial NS H flux. The action of the duality group on the topology and H flux of the corresponding type II and heterotic string backgrounds is determined. The topology change is specialized to the case of supersymmetric T^2-fibered torsional string backgrounds with nontrivial H flux. We prove that it preserves the global tadpole condition in the total space as well as on the base of the torus fibration. We find that some of these T-dualities exchange half of the field strength of an unbroken U(1) gauge symmetry with the anti-selfdual part of the curvature of a physical circle fibration. We verify that such T-dualities indeed exchange the supersymmetry condition for the circle bundle with that of the gauge bundle.

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