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Superconformal Symmetry and HyperKähler Manifolds with Torsion

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  • Yat Sun Poon, University of California at Riverside
    • ,
  • Andrew Swann

The geometry arising from Michelson & Strominger's study of N = 4B supersymmetric quantum mechanics with superconformai D(2, 1; α)-symmetry is a hyperKähler manifold with torsion (HKT) together with a special homothety. It is shown that different parameters α are related via changes in potentials for the HKT target spaces. For α ≠ 0, -1, we describe how each such HKT manifold M4m is derived from a space N4m-4 which is quaternionic Kähler with torsion and carries an Abelian instanton.

OriginalsprogEngelsk
TidsskriftCommunications in Mathematical Physics
Vol/bind241
Nummer1
Sider (fra-til)177-189
Antal sider13
ISSN0010-3616
DOI
StatusUdgivet - 1 jan. 2003
Eksternt udgivetJa

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