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  • 1
    Electronic Resource
    Electronic Resource
    Holonomy groups andW-symmetries (1993)
    Springer
    Communications in mathematical physics 151 (1993), S. 467-479 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Irreducible sigma models, i.e. those for which the partition function does not factorise, are defined on Riemannian spaces with irreducible holonomy groups. These special geometries are characterised by the existence of covariantly constant forms which in turn give rise to symmetries of the supersymmetric sigma model actions. The Poisson bracket algebra of the corresponding currents is aW-algebra. Extended supersymmetries arise as special cases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02097022
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Twistor Spaces for QKT Manifolds (1998)
    Springer
    Communications in mathematical physics 197 (1998), S. 713-727 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract: We find that the target space of two-dimensional (4,0) supersymmetric sigma models with torsion coupled to (4,0) supergravity is a QKT manifold, that is, a quaternionic Kähler manifold with torsion. We give four examples of geodesically complete QKT manifolds, one of which is a generalisation of the LeBrun geometry. We then construct the twistor space associated with a QKT manifold and show that under certain conditions it is a Kähler manifold with a complex contact structure. We also show that, for same 4k-dimensional QKT manifold, there is an associated 4(k+1)-dimensional hyper-Kähler one.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002200050469
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    Paper (German National Licenses)
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