Title: What is special Kähler geometry?
Authors: Craps, Ben ×
Roose, Frederik
Troost, Walter
Van Proeyen, Antoine #
Issue Date: Oct-1997
Publisher: North Holland
Series Title: Nuclear Physics B vol:503 issue:3 pages:565-613
Abstract: The scalars in vector multiplets of N = 2 supersymmetric theories in four dimensions exhibit 'special Kahler geometry', related to duality symmetries, due to their coupling to the vectors. In the literature there is some confusion on the definition of special geometry. We show equivalences of some definitions and give examples which show that earlier definitions are not equivalent, and are not sufficient to restrict the Kahler metric to one that occurs in N = 2 supersymmetry. We treat the rigid as well as the local supersymmetry case. The connection is made to moduli spaces of Riemann surfaces and Calabi-Yau 3-folds. The conditions for the existence of a prepotential translate to a condition on the choice of canonical basis of cycles. (C) 1997 Elsevier Science B.V.
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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