T3-invariant heterotic Hull-Strominger solutions

Journal of High Energy Physics

Eirik Eik Svanes¹  Alex Kinsella²  Bobby Samir Acharya³ 

[1] Department of Mathematics and Physics, University of Stavanger, Kristine Bonnevies vei 22, 4021, Stavanger, Norway;Department of Physics, Broida Hall, University of California Santa Barbara, 93106, Santa Barbara, CA, U.S.A.;Department of Physics, Kings College London, WC2R 2LS, London, U.K.;Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy;

关键词: Superstring Vacua;    Superstrings and Heterotic Strings;    Flux compactifications;    Solitons Monopoles and Instantons;   

DOI  :  10.1007/JHEP01(2021)197

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY