5 research outputs found
A2 Toda theory in reduced WZNW framework and the representations of the W algebra
Using the reduced WZNW formulation we analyse the classical orbit content
of the space of classical solutions of the Toda theory. We define the
quantized Toda field as a periodic primary field of the algebra satisfying
the quantized equations of motion. We show that this local operator can be
constructed consistently only in a Hilbert space consisting of the
representations corresponding to the minimal models of the algebra.Comment: 38 page
Finite size effects in boundary sine-Gordon theory
We examine the finite volume spectrum and boundary energy in boundary
sine-Gordon theory, based on our recent results obtained by closing the
boundary bootstrap. The spectrum and the reflection factors are checked
against truncated conformal space, together with a (still unpublished)
prediction by Al.B. Zamolodchikov for the boundary energy and the
relation between the parameters of the scattering amplitudes and of the
perturbed CFT Hamiltonian. In addition, a derivation of Zamolodchikov's
formulae is given. We find an entirely consistent picture and strong
evidence for the validity of the conjectured spectrum and scattering
amplitudes, which together give a complete description of the boundary
sine-Gordon theory on mass shell. (C) 2002 Elsevier Science B.V. All
rights reserved
Boundary sine-Gordon model
We review our recent results on the on-shell description of sine-Gordon model
with integrable boundary conditions. We determined the spectrum of boundary
states together with their reflection factors by closing the boundary bootstrap
and checked these results against WKB quantization and numerical finite volume
spectra obtained from the truncated conformal space approach. The relation
between a boundary resonance state and the semiclassical instability of a
static classical solution is analyzed in detail.Comment: 15 pages, 7 eps figures, Talk presented at 'Workshop on Integrable
Theories, Solitons and Duality', 1-6 July 2002, Sao Paulo, Brazi
SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects
We consider SUSY sine-Gordon theory in the framework of perturbed conformal field theory. Using an argument from Zamolodchikov, we obtain the vacuum structure and the kink adjacency diagram of the theory, which is cross-checked against the exact S-matrix prediction, first-order perturbed conformal field theory (PCFT), the NLIE method and truncated conformal space approach. We provide evidence for consistency between the usual Lagrangian description and PCFT on the one hand, and between PCFT, NLIE and a massgap formula conjectured by Baseilhac and Fateev, on the other. In addition, we extend the NLIE description to all the vacua of the theory. (C) 2003 Elsevier B.V. All rights reserved
Boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point
In this manuscript we present a detailed investigation of the form factors of
boundary fields of the sinh-Gordon model with a particular type of Dirichlet
boundary condition, corresponding to zero value of the sinh-Gordon field at the
boundary, at the self-dual point. We follow for this the boundary form factor
program recently proposed by Z. Bajnok, L. Palla and G. Takaks in
hep-th/0603171, extending the analysis of the boundary sinh-Gordon model
initiated there. The main result of the paper is a conjecture for the structure
of all n-particle form factors of two particular boundary operators in terms of
elementary symmetric polynomials in certain functions of the rapidity
variables. In addition, form factors of boundary "descendant" fields have been
constructedComment: 14 pages LaTex. Version to appear in J. Phys.