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Calibrations and T–Duality

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Abstract

For a subclass of Hitchin’s generalised geometries we introduce and analyse the concept of a structured submanifold which encapsulates the classical notion of a calibrated submanifold. Under a suitable integrability condition on the ambient geometry, these generalised calibrated submanifolds minimise a functional occurring as D–brane energy in type II string theories. Further, we investigate the behaviour of calibrated cycles under T–duality and construct non–trivial examples.

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Authors and Affiliations

  1. NIKHEF, Kruislaan 409, 1098 SJ, Amsterdam, The Netherlands

    Florian Gmeiner

  2. NWF I – Mathematik, Universität Regensburg, D-93040, Regensburg, Germany

    Frederik Witt

Authors
  1. Florian Gmeiner
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  2. Frederik Witt
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Correspondence to Frederik Witt.

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Communicated by G.W. Gibbons

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Gmeiner, F., Witt, F. Calibrations and T–Duality. Commun. Math. Phys. 283, 543–578 (2008). https://doi.org/10.1007/s00220-008-0571-9

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  • DOI: https://doi.org/10.1007/s00220-008-0571-9

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