T 3-invariant heterotic Hull-Strominger solutions
Open Access
- 28 January 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Journal of High Energy Physics
- Vol. 2021 (1), 1-34
- https://doi.org/10.1007/jhep01(2021)197
Abstract
We consider the heterotic string on Calabi-Yau manifolds admitting a Strominger-Yau-Zaslow fibration. Upon reducing the system in the T 3-directions, the Hermitian Yang-Mills conditions can then be reinterpreted as a complex flat connection on ℝ3 satisfying a certain co-closure condition. We give a number of abelian and non-abelian examples, and also compute the back-reaction on the geometry through the non-trivial α′-corrected heterotic Bianchi identity, which includes an important correction to the equations for the complex flat connection. These are all new local solutions to the Hull-Strominger system on T 3 × ℝ3. We also propose a method for computing the spectrum of certain non-abelian models, in close analogy with the Morse-Witten complex of the abelian models.This publication has 41 references indexed in Scilit:
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