# A symplectic covariant formulation of special Kähler geometry in superconformal calculus

@article{Claus1999ASC,
title={A symplectic covariant formulation of special K{\"a}hler geometry in superconformal calculus},
author={Piet Claus and K. Van Hoof and Antoine Van Proeyen},
journal={Classical and Quantum Gravity},
year={1999},
volume={16},
pages={2625-2649}
}
• Published 8 April 1999
• Mathematics, Physics
• Classical and Quantum Gravity
We present a formulation of the coupling of vector multiplets to N = 2 supergravity which is symplectic covariant (and thus is not based on a prepotential) and uses superconformal tensor calculus. We do not start from an action, but from the combination of the generalized Bianchi identities of the vector multiplets in superspace, a symplectic definition of special Kahler geometry, and the supersymmetric partners of the corresponding constraints. These involve the breaking to super-Poincare…
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