HyperKähler metrics with torsion (HKT metrics) are constructed via superconformal symmetry. It is shown how T‐duality interpreted as a twist construction for circle actions provides a number of compact simply‐connected examples. Further applications of the twist construction are discussed to obtain compact simply‐connected HKT manifolds with few symmetries and to construct all HKT nilmanifolds.
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Research Article| February 02 2009
Quaternionic Torsion Geometry, Superconformal Symmetry and T‐duality
AIP Conf. Proc. 1093, 162–179 (2009)
Andrew Swann; Quaternionic Torsion Geometry, Superconformal Symmetry and T‐duality. AIP Conf. Proc. 2 February 2009; 1093 (1): 162–179. https://doi.org/10.1063/1.3089201
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