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T 3-invariant heterotic Hull-Strominger solutions
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  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 28 January 2021

T 3-invariant heterotic Hull-Strominger solutions

  • Bobby Samir Acharya1,2,
  • Alex Kinsella3 &
  • Eirik Eik Svanes4 

Journal of High Energy Physics volume 2021, Article number: 197 (2021) Cite this article

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A preprint version of the article is available at arXiv.

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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Author information

Authors and Affiliations

  1. Department of Physics, Kings College London, London, WC2R 2LS, U.K.

    Bobby Samir Acharya

  2. Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy

    Bobby Samir Acharya

  3. Department of Physics, Broida Hall, University of California Santa Barbara, Santa Barbara, CA, 93106, U.S.A.

    Alex Kinsella

  4. Department of Mathematics and Physics, University of Stavanger, Kristine Bonnevies vei 22, 4021, Stavanger, Norway

    Eirik Eik Svanes

Authors
  1. Bobby Samir Acharya
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  2. Alex Kinsella
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Correspondence to Eirik Eik Svanes.

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ArXiv ePrint: 2010.07438

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Acharya, B.S., Kinsella, A. & Svanes, E.E. T 3-invariant heterotic Hull-Strominger solutions. J. High Energ. Phys. 2021, 197 (2021). https://doi.org/10.1007/JHEP01(2021)197

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  • Received: 09 November 2020

  • Accepted: 12 December 2020

  • Published: 28 January 2021

  • DOI: https://doi.org/10.1007/JHEP01(2021)197

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Keywords

  • Superstring Vacua
  • Superstrings and Heterotic Strings
  • Flux compactifications
  • Solitons Monopoles and Instantons
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