1,820 research outputs found

### 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

### Thermodynamics of Fateev's models in the Presence of External Fields

We study the Thermodynamic Bethe Ansatz equations for a one-parameter quantum
field theory recently introduced by V.A.Fateev. The presence of chemical
potentials produces a kink condensate that modifies the excitation spectrum.
For some combinations of the chemical potentials an additional gapless mode
appears. Various energy scales emerge in the problem. An effective field
theory, describing the low energy excitations, is also introduced.Comment: 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

### Parafermionic theory with the symmetry Z_5

A parafermionic conformal theory with the symmetry Z_5 is constructed, based
on the second solution of Fateev-Zamolodchikov for the corresponding
parafermionic chiral algebra.
The primary operators of the theory, which are the singlet, doublet 1,
doublet 2, and disorder operators, are found to be accommodated by the weight
lattice of the classical Lie algebra B_2. The finite Kac tables for unitary
theories are defined and the formula for the conformal dimensions of primary
operators is given.Comment: 98 pages, 21 eps figure

### The third parafermionic chiral algebra with the symmetry Z_{3}

We have constructed the parafermionic chiral algebra with the principal
parafermionic fields \Psi,\Psi^{+} having the conformal dimension
\Delta_{\Psi}=8/3 and realizing the symmetry Z_{3}.Comment: 6 pages, no figur

### Conformal field theories with Z_N and Lie algebra symmetries

We construct two-dimensional conformal field theories with a Z_N symmetry,
based on the second solution of Fateev-Zamolodchikov for the parafermionic
chiral algebra. Primary operators are classified according to their
transformation properties under the dihedral group (Z_N x Z_2, where Z_2 stands
for the Z_N charge conjugation), as singlets, [(N-1)/2] different doublets, and
a disorder operator. In an assumed Coulomb gas scenario, the corresponding
vertex operators are accommodated by the Kac table based on the weight lattice
of the Lie algebra B_{(N-1)/2} when N is odd, and D_{N/2} when N is even. The
unitary theories are representations of the coset SO_n(N) x SO_2(N) /
SO_{n+2}(N), with n=1,2,.... We suggest that physically they realize the series
of multicritical points in statistical systems having a Z_N symmetry.Comment: 4 pages, 2 figure

### Parafermionic theory with the symmetry Z_N, for N odd

We construct a parafermionic conformal theory with the symmetry Z_N, for N
odd, based on the second solution of Fateev-Zamolodchikov for the corresponding
parafermionic chiral algebra. Primary operators are classified according to
their transformation properties under the dihedral group D_N, as singlet,
doublet 1,2,...,(N-1)/2, and disorder operators. In an assumed Coulomb gas
scenario, the corresponding vertex operators are accommodated by the weight
lattice of the Lie algebra B_(N-1)/2. The unitary theories are representations
of the coset SO_n(N) x SO_2(N) / SO_{n+2}(N), with n=1,2,... . Physically, they
realise the series of multicritical points in statistical theories having a D_N
symmetry.Comment: 34 pages, 1 figure. v2: note added in proo

### 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

### 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.

- â€¦