Title: Special geometry and symplectic transformations
Authors: de Wit, B ×
Van Proeyen, Antoine #
Issue Date: Feb-1996
Publisher: North Holland
Series Title: Nuclear Physics B pages:196-206
Abstract: Special Kahler manifolds are defined by coupling of vector multiplets to N = 2 supergravity. The coupling in rigid supersymmetry exhibits similar features. These models contain n vectors in rigid supersymmetry and n + 1 in supergravity, and n complex scalars. Apart from exceptional cases they are defined by a holomorphic function of the scalars. For supergravity this function is homogeneous of second degree in an (n + 1)-dimensional projective space. Another formulation exists which does not start from this function, but from a symplectic (2n)- or (2n + 2)-dimensional complex space. Symplectic transformations lead either to isometries on the manifold or to symplectic reparametrizations. Finally we touch on the connection with special quaternionic and very special real manifolds, and the classification of homogeneous special manifolds.
ISSN: 0550-3213
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
× corresponding author
# (joint) last author

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