T3-invariant heterotic Hull-Strominger solutions
Peer reviewed, Journal article
Published version
Permanent lenke
https://hdl.handle.net/11250/2834030Utgivelsesdato
2021-01Metadata
Vis full innførselSamlinger
Originalversjon
Svanes, E.E., Acharya, B.S., Kinsella, A. (2021) T3-invariant heterotic Hull-Strominger solutions. Journal of High Energy Physics (JHEP), 197 (2021) 10.1007/JHEP01(2021)197Sammendrag
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.