On the integrable geometry of soliton equations and N=2 supersymmetric gauge theories
| dc.creator | Krichever, I. M. | |
| dc.creator | Phong, D. H. | |
| dc.date | 1996-04-30 | |
| dc.date.accessioned | 2026-07-07T04:22:04Z | |
| dc.date.available | 2026-07-07T04:22:04Z | |
| dc.description | We provide a unified construction of the symplectic forms which arise in the solution of both N=2 supersymmetric Yang-Mills theories and soliton equations. Their phase spaces are Jacobian-type bundles over the leaves of a foliation in a universal configuration space. On one hand, imbedded into finite-gap solutions of soliton equations, these symplectic forms assume explicit expressions in terms of the auxiliary Lax pair, expressions which generalize the well-known Gardner-Faddeev-Zakharov bracket for KdV to a vast class of 2D integrable models; on the other hand, they determine completely the effective Lagrangian and BPS spectrum when the leaves are identified with the moduli space of vacua of an N=2 supersymmetric gauge theory. For SU($N_c$) with $N_f\leq N_c+1$ flavors, the spectral curves we obtain this way agree with the ones derived by Hanany and Oz and others from physical considerations. | |
| dc.description | 38 pages, TeX file, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/9604199 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9604199 | |
| dc.identifier | J.Diff.Geom. 45 (1997) 349-389 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54575 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the integrable geometry of soliton equations and N=2 supersymmetric gauge theories | |
| dc.type | text |