138 research outputs found
Correlation functions in conformal Toda field theory II
This is the second part of the paper 0709.3806v2. Here we show that
three-point correlation function with one semi-degenerate field in Toda field
theory as well as four-point correlation function with one completely
degenerate and one semi-degenerate field can be represented by the finite
dimensional integrals.Comment: 26 pages, JHEP styl
Correlation functions in conformal Toda field theory I
Two-dimensional sl(n) quantum Toda field theory on a sphere is considered.
This theory provides an important example of conformal field theory with higher
spin symmetry. We derive the three-point correlation functions of the
exponential fields if one of the three fields has a special form. In this case
it is possible to write down and solve explicitly the differential equation for
the four-point correlation function if the fourth field is completely
degenerate. We give also expressions for the three-point correlation functions
in the cases, when they can be expressed in terms of known functions. The
semiclassical and minisuperspace approaches in the conformal Toda field theory
are studied and the results coming from these approaches are compared with the
proposed analytical expression for the three-point correlation function. We
show, that in the framework of semiclassical and minisuperspace approaches
general three-point correlation function can be reduced to the
finite-dimensional integral.Comment: 54 pages, JHEP styl
Exactly Solvable Ginzburg-Landau theories of Superconducting Order Parameters coupled to Elastic Modes
We consider two families of exactly solvable models describing thermal
fluctuations in two-dimensional superconductors coupled to phonons living in an
insulating layer, and study the stability of the superconducting state with
respect to vortices. The two families are characterized by one or two
superconducting planes. The results suggest that the effective critical
temperature increases with the thickness of the insulating layer. Also the
presence of the additional superconducting layer has the same effect.Comment: Submitted to Physical Review
Boundary One-Point Functions, Scattering Theory and Vacuum Solutions in Integrable Systems
Integrable boundary Toda theories are considered. We use boundary one-point
functions and boundary scattering theory to construct the explicit solutions
corresponding to classical vacuum configurations. The boundary ground state
energies are conjectured.Comment: 25 pages, Latex (axodraw,epsfig), Report-no: LPM/02-07, UPRF-2002-0
Reflection Amplitudes of ADE Toda Theories and Thermodynamic Bethe Ansatz
We study the ultraviolet asymptotics in affine Toda theories. These models
are considered as perturbed non-affine Toda theories. We calculate the
reflection amplitudes, which relate different exponential fields with the same
quantum numbers. Using these amplitudes we derive the quantization condition
for the vacuum wave function, describing zero-mode dynamics, and calculate the
UV asymptotics of the effective central charge. These asymptotics are in a good
agreement with thermodynamic Bethe ansatz results.Comment: 20 pages, 2 ps figures, LaTeX 2e. We added the last section,
"Concluding Remarks", in which the new result for the one point function <
\exp a\cdot\phi > in ADE affine Toda theories is given explicitly. Version to
appear in Nucl. Phys.
Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory
In this paper we consider parafermionic Liouville field theory. We study
integral representations of three-point correlation functions and develop a
method allowing us to compute them exactly. In particular, we evaluate the
generalization of Selberg integral obtained by insertion of parafermionic
polynomial. Our result is justified by different approach based on dual
representation of parafermionic Liouville field theory described by
three-exponential model
A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
We propose a relation between correlation functions in the 2d A_{N-1}
conformal Toda theories and the Nekrasov instanton partition functions in
certain conformal N=2 SU(N) 4d quiver gauge theories. Our proposal generalises
the recently uncovered relation between the Liouville theory and SU(2) quivers.
New features appear in the analysis that have no counterparts in the Liouville
case.Comment: 23 pages. v2: some typos correcte
Form factors of exponential fields for two-parametric family of integrable models
A two-parametric family of integrable models (the SS model) that contains as
particular cases several well known integrable quantum field theories is
considered. After the quantum group restriction it describes a wide class of
integrable perturbed conformal field theories. Exponential fields in the SS
model are closely related to the primary fields in these perturbed theories. We
use the bosonization approach to derive an integral representation for the form
factors of the exponential fields in the SS model. The same representations for
the sausage model and the cosine-cosine model are obtained as limiting cases.
The results are tested at the special points, where the theory contains free
particles.Comment: 37 pages, 3 figures; some misprints corrected; Eq. (B.12b) correcte
Non-Abelian coset string backgrounds from asymptotic and initial data
We describe hierarchies of exact string backgrounds obtained as non-Abelian
cosets of orthogonal groups and having a space--time realization in terms of
gauged WZW models. For each member in these hierarchies, the target-space
backgrounds are generated by the ``boundary'' backgrounds of the next member.
We explicitly demonstrate that this property holds to all orders in .
It is a consequence of the existence of an integrable marginal operator build
on, generically, non-Abelian parafermion bilinears. These are dressed with the
dilaton supported by the extra radial dimension, whose asymptotic value defines
the boundary. Depending on the hierarchy, this boundary can be time-like or
space-like with, in the latter case, potential cosmological applications.Comment: 26 page
Boundary changing operators in the O(n) matrix model
We continue the study of boundary operators in the dense O(n) model on the
random lattice. The conformal dimension of boundary operators inserted between
two JS boundaries of different weight is derived from the matrix model
description. Our results are in agreement with the regular lattice findings. A
connection is made between the loop equations in the continuum limit and the
shift relations of boundary Liouville 3-points functions obtained from Boundary
Ground Ring approach.Comment: 31 pages, 4 figures, Introduction and Conclusion improve
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