Real-normalized Whitham hierarchies and the WDVV equations
| dc.creator | Dzhamay, Anton | |
| dc.date | 2000-03-05 | |
| dc.date.accessioned | 2026-07-07T04:09:36Z | |
| dc.date.available | 2026-07-07T04:09:36Z | |
| dc.description | In this paper we present a construction of a new class of explicit solutions to the WDVV (or associativity) equations. Our construction is based on a relationship between the WDVV equations and Whitham (or modulation) equations. Whitham equations appear in the perturbation theory of exact algebro-geometric solutions of soliton equations and are defined on the moduli space of algebraic curves with some extra algebro-geometric data. It was first observed by Krichever that for curves of genus zero the tau-function of a ``universal'' Whitham hierarchy gives a solution to the WDVV equations. This construction was later extended by Dubrovin and Krichever to algebraic curves of higher genus. Such extension depends on the choice of a normalization for the corresponding Whitham differentials. Traditionally only complex normalization (or the normalization w.r.t. a-cycles) was considered. In this paper we generalize the above construction to the real-normalized case. | |
| dc.description | 24 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/0003034 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0003034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/49911 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Real-normalized Whitham hierarchies and the WDVV equations | |
| dc.type | text |