T³-Invariant Heterotic Hull-Strominger Solutions

2020/10/14 by Acharya, Bobby Samir, Kinsella, Alex, Svanes, Eirik Eik
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2010.07438

Abstract

We consider the heterotic string on Calabi-Yau manifolds admitting a Strominger-Yau-Zaslow fibration. Upon reducing the system in the T³-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 T³×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.

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