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}
}
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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