Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-12-23
J.Phys.A31:6747-6770,1998
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, TeX with lanlmac (revised: minor misprints corrected, some comments added, appendix slightly expanded revised 05/98:
Scientific paper
10.1088/0305-4470/31/31/019
A 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.
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