A Journey Between Two Curves

dc.creatorCherkis, Sergey A.
dc.date2007-03-11
dc.date.accessioned2026-07-07T12:20:31Z
dc.date.available2026-07-07T12:20:31Z
dc.descriptionA typical solution of an integrable system is described in terms of a holomorphic curve and a line bundle over it. The curve provides the action variables while the time evolution is a linear flow on the curve's Jacobian. Even though the system of Nahm equations is closely related to the Hitchin system, the curves appearing in these two cases have very different nature. The former can be described in terms of some classical scattering problem while the latter provides a solution to some Seiberg-Witten gauge theory. This note identifies the setup in which one can formulate the question of relating the two curves.
dc.descriptionThis is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/hep-th/0703108
dc.identifierhttp://arxiv.org/abs/hep-th/0703108
dc.identifierSIGMA 3:043,2007
dc.identifierdoi:10.3842/SIGMA.2007.043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213086
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.titleA Journey Between Two Curves
dc.typetext

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