Integrable Structure behind WDVV Equations

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dc.creatorAratyn, Henrik
dc.creatorvan de Leur, Johan
dc.date2001-11-27
dc.date.accessioned2026-07-07T04:12:45Z
dc.date.available2026-07-07T04:12:45Z
dc.descriptionAn integrable structure behind Witten--Dijkgraaf--Verlinde--Verlinde (WDVV) equations is identified with reduction of a Riemann-Hilbert problem for a homogeneous GL(N, C) loop group. Reduction requires the dressing matrices to be fixed points of a loop group automorphism of order two resulting in a sub-hierarchy of gl(N,C) hierarchy containing only odd symmetry flows. The model possesses Virasoro symmetry and imposing Virasoro constraints ensures homogeneity property of the Darboux-Egoroff structure. Dressing matrices of the reduced model provide solutions of the WDVV equations.
dc.description14 pgs, contribution to Needs 2001 conference proceedings
dc.identifierhttps://arxiv.org/abs/hep-th/0111243
dc.identifierhttp://arxiv.org/abs/hep-th/0111243
dc.identifierTheor.Math.Phys. 134 (2003) 14-26; Teor.Mat.Fiz. 134 (2003) 18-31
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51013
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleIntegrable Structure behind WDVV Equations
dc.typetext

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