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Local Heterotic Torsional Models

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Abstract

We present a class of smooth supersymmetric heterotic solutions with a non-compact Eguchi-Hanson space. The non-compact geometry is embedded as the base of a six-dimensional non-Kähler manifold with a non-trivial torus fiber. We solve the non-linear anomaly equation in this background exactly. We also define a new charge that detects the non-Kählerity of our solutions.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, P.R. China

    Ji-Xiang Fu

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

    Li-Sheng Tseng & Shing-Tung Yau

  3. Center for the Fundamental Laws of Nature, Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, USA

    Li-Sheng Tseng

Authors
  1. Ji-Xiang Fu
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  2. Li-Sheng Tseng
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  3. Shing-Tung Yau
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Correspondence to Li-Sheng Tseng.

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Communicated by G. W. Gibbons

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Fu, JX., Tseng, LS. & Yau, ST. Local Heterotic Torsional Models. Commun. Math. Phys. 289, 1151–1169 (2009). https://doi.org/10.1007/s00220-009-0789-1

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  • DOI: https://doi.org/10.1007/s00220-009-0789-1

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