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Invariant Solutions to the Strominger System on Complex Lie Groups and Their Quotients

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Abstract

Using canonical 1-parameter family of Hermitian connections on the tangent bundle, we provide invariant solutions to the Strominger system on certain complex Lie groups and their quotients. Both flat and non-flat cases are discussed in detail. This paper answers a question proposed by Andreas and Garcia-Fernandez in Comm Math Phys 332(3):1381–1383, 2014.

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Teng Fei

  2. Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

    Shing-Tung Yau

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  1. Teng Fei
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  2. Shing-Tung Yau
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Correspondence to Teng Fei.

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Communicated by N. A. Nekrasov

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Fei, T., Yau, ST. Invariant Solutions to the Strominger System on Complex Lie Groups and Their Quotients. Commun. Math. Phys. 338, 1183–1195 (2015). https://doi.org/10.1007/s00220-015-2374-0

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  • DOI: https://doi.org/10.1007/s00220-015-2374-0

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