Real symplectic formulation of local special geometry
| dc.creator | Ferrara, Sergio | |
| dc.creator | Macia, Oscar | |
| dc.date | 2006-03-14 | |
| dc.date | 2006-05-03 | |
| dc.date.accessioned | 2026-07-07T10:46:12Z | |
| dc.date.available | 2026-07-07T10:46:12Z | |
| dc.description | We consider a formulation of local special geometry in terms of Darboux special coordinates $P^I=(p^i,q_i)$, $I=1,...,2n$. A general formula for the metric is obtained which is manifestly $\mathbf{Sp}(2n,\mathbb{R})$ 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 $S_I=\frac{\partial S}{\partial P^I}$. Only in the one-dimensional case ($n=1$) is the real (two-dimensional) metric proportional to the Hessian with an appropriate conformal factor. | |
| dc.description | 10 pages, corrected typos | |
| dc.identifier | https://arxiv.org/abs/hep-th/0603111 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0603111 | |
| dc.identifier | Phys.Lett.B637:102-106,2006 | |
| dc.identifier | doi:10.1016/j.physletb.2006.04.010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183155 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Real symplectic formulation of local special geometry | |
| dc.type | text |