Real symplectic formulation of local special geometry

Citations of this article
Mendeley users who have this article in their library.


We consider a formulation of local special geometry in terms of Darboux special coordinates PI= ( pi, qi), I = 1, ..., 2 n. A general formula for the metric is obtained which is manifestly Sp ( 2 n, R ) covariant. Unlike the rigid case the metric is not given by the Hessian of the real function S ( P ) which is the Legendre transform of the imaginary part of the holomorphic prepotential. Rather it is given by an expression that contains S, its Hessian and the conjugate momenta SI= frac(∂ S, ∂ PI). Only in the one-dimensional case ( n = 1) is the real (two-dimensional) metric proportional to the Hessian with an appropriate conformal factor. © 2006 Elsevier B.V. All rights reserved.




Ferrara, S., & Maciá, Ó. (2006). Real symplectic formulation of local special geometry. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 637(1–2), 102–106.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free