Heterotic string from a higher dimensional perspective

Details Heterotic string from a higher dimensional perspective Heterotic string from a higher dimensional perspective

2011-02-07

arxiv.org/abs/1102.1434v2

Physics

High Energy Physics

High Energy Physics - Theory

43 pages; minor changes; version published in NPB

Scientific paper

The (abelian bosonic) heterotic string effective action, equations of motion and Bianchi identity at order alpha prime in ten dimensions, are shown to be equivalent to a higher dimensional action, its derived equations of motion and Bianchi identity. The two actions are the same up to the gauge fields: the latter are absorbed in the higher dimensional fields and geometry. This construction is inspired by heterotic T-duality, which becomes natural in this higher dimensional theory. We also prove the equivalence of the heterotic string supersymmetry conditions with higher dimensional geometric conditions. Finally, some known Kahler and non-Kahler heterotic solutions are shown to be trivially related from this higher dimensional perspective, via a simple exchange of directions. This exchange can be encoded in a heterotic T-duality, and it may also lead to new solutions.

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