490 research outputs found
On differential equation on four-point correlation function in the Conformal Toda Field Theory
The properties of completely degenerate fields in the Conformal Toda Field
Theory are studied. It is shown that a generic four-point correlation function
that contains only one such field does not satisfy ordinary differential
equation in contrast to the Liouville Field Theory. Some additional assumptions
for other fields are required. Under these assumptions we write such a
differential equation and solve it explicitly. We use the fusion properties of
the operator algebra to derive a special set of three-point correlation
function. The result agrees with the semiclassical calculations.Comment: 5 page
Magnetoresistance in the s-d Model with Arbitrary Impurity Spin
The magnetoresistance, the number of the localized electrons, and the s-wave
scattering phase shift at the Fermi level for the s-d model with arbitrary
impurity spin are obtained in the ground state. To obtain above results some
known exact results of the Bethe ansatz method are used. As the impurity spin S
= 1/2, our results coincide with those obtained by Ishii \textit{et al%}. The
compairsion between the theoretical and experimental magneticresistence for
impurity S = 1/2 is re-examined.Comment: 6 pages, 2 figure
Complex sine-Gordon-2: a new algorithm for multivortex solutions on the plane
We present a new vorticity-raising transformation for the second integrable
complexification of the sine-Gordon equation on the plane. The new
transformation is a product of four Schlesinger maps of the Painlev\'{e}-V to
itself, and allows a more efficient construction of the -vortex solution
than the previously reported transformation comprising a product of maps.Comment: Part of a talk given at a conference on "Nonlinear Physics. Theory
and Experiment", Gallipoli (Lecce), June-July 2004. To appear in a topical
issue of "Theoretical and Mathematical Physics". 7 pages, 1 figur
A twisted conformal field theory description of the Quantum Hall Effect
We construct an effective conformal field theory by using a procedure which
induces twisted boundary conditions for the fundamental scalar fields. That
allows to describe a quantum Hall fluid at Jain hierarchical filling,
nu=m/(2pm+1), in terms of one charged scalar field and m-1 neutral ones. Then
the resulting algebra of the chiral primary fields is U(1)xW_m. Finally the
ground state wave functions are given as correlators of appropriate composite
fields (a-electrons).Comment: 11 pages, plain Late
Some remarks on D-branes and defects in Liouville and Toda field theories
In this paper we analyze the Cardy-Lewellen equation in general diagonal
model. We show that in these models it takes simple form due to some general
properties of conformal field theories, like pentagon equations and OPE
associativity. This implies, that the Cardy-Lewellen equation has simple form
also in non-rational diagonal models. We specialize our finding to the
Liouville and Toda field theories. In particular we prove, that conjectured
recently defects in Toda field theory indeed satisfy the cluster equation. We
also derive the Cardy-Lewellen equation in all Toda field theories and
prove that the forms of boundary states found recently in Toda field
theory hold in all theories as well.Comment: 30 pages, some comments, explanations and references adde
Sigma models as perturbed conformal field theories
We show that two-dimensional sigma models are equivalent to certain perturbed
conformal field theories. When the fields in the sigma model take values in a
space G/H for a group G and a maximal subgroup H, the corresponding conformal
field theory is the limit of the coset model , and the
perturbation is related to the current of G. This correspondence allows us for
example to find the free energy for the "O(n)" (=O(n)/O(n-1)) sigma model at
non-zero temperature. It also results in a new approach to the CP^{n} model.Comment: 4 pages. v2: corrects typos (including several in the published
version
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
Application of thermography in experimental studies of plasma jets
The paper presents the experimental studies of the optical properties for the plasma jet in the mid-IR range
Correlation functions of disorder fields and parafermionic currents in Z(N) Ising models
We study correlation functions of parafermionic currents and disorder fields
in the Z(N) symmetric conformal field theory perturbed by the first thermal
operator. Following the ideas of Al. Zamolodchikov, we develop for the
correlation functions the conformal perturbation theory at small scales and the
form factors spectral decomposition at large ones. For all N there is an
agreement between the data at the intermediate distances. We consider the
problems arising in the description of the space of scaling fields in perturbed
models, such as null vector relations, equations of motion and a consistent
treatment of fields related by a resonance condition.Comment: 41 pp. v2: some typos and references are corrected
Non-critical string pentagon equations and their solutions
We derive pentagon type relations for the 3-point boundary tachyon
correlation functions in the non-critical open string theory with generic
c_{matter} < 1 and study their solutions in the case of FZZ branes. A new
general formula for the Liouville 3-point factor is derived.Comment: 18 pages, harvmac; misprints corrected, section 3.2 extended, a new
general formula for the Liouville 3-point factor adde
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