Non-Linear Integral Equations for complex Affine Toda associated to simply laced Lie algebras

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dc.creatorZinn-Justin, P.
dc.date1997-12-23
dc.date1998-05-03
dc.date.accessioned2026-07-07T10:53:53Z
dc.date.available2026-07-07T10:53:53Z
dc.descriptionA set of coupled non-linear integral equations is derived for a class of models connected with the quantum group $U_q(\hat g)$ ($g$ simply laced Lie algebra), which are solvable using the Bethe Ansatz; these equations describe arbitrary excited states of a system with finite spatial length $L$. They generalize the Destri-De Vega equation for the Sine-Gordon/massive Thirring model to affine Toda field theory with imaginary coupling constant. As an application, the central charge and all the conformal weights of the UV conformal field theory are extracted in a straightforward manner. The quantum group truncation for $q$ at a root of unity is discussed in detail; in the UV limit we recover through this procedure the RCFTs with extended $W(g)$ conformal symmetry.
dc.description33 pages, TeX with lanlmac (revised: minor misprints corrected, some comments added, appendix slightly expanded revised 05/98: more misprints corrected, important refs added)
dc.identifierhttps://arxiv.org/abs/hep-th/9712222
dc.identifierhttp://arxiv.org/abs/hep-th/9712222
dc.identifierJ.Phys.A31:6747-6770,1998
dc.identifierdoi:10.1088/0305-4470/31/31/019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185634
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleNon-Linear Integral Equations for complex Affine Toda associated to simply laced Lie algebras
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