328 research outputs found
Massive Scaling Limit of beta-Deformed Matrix Model of Selberg Type
We consider a series of massive scaling limits m_1 -> infty, q -> 0, lim m_1
q = Lambda_{3} followed by m_4 -> infty, Lambda_{3} -> 0, lim m_4 Lambda_{3} =
(Lambda_2)^2 of the beta-deformed matrix model of Selberg type (N_c=2, N_f=4)
which reduce the number of flavours to N_f=3 and subsequently to N_f=2. This
keeps the other parameters of the model finite, which include n=N_L and
N=n+N_R, namely, the size of the matrix and the "filling fraction". Exploiting
the method developed before, we generate instanton expansion with finite g_s,
epsilon_{1,2} to check the Nekrasov coefficients (N_f =3,2 cases) to the lowest
order. The limiting expressions provide integral representation of irregular
conformal blocks which contains a 2d operator lim frac{1}{C(q)} : e^{(1/2)
\alpha_1 \phi(0)}: (int_0^q dz : e^{b_E phi(z)}:)^n : e^{(1/2) alpha_2 phi(q)}:
and is subsequently analytically continued.Comment: LaTeX, 21 pages; v2: a reference adde
Wave function renormalization constants and one-particle form factors in Toda field theories
We apply the method of angular quantization to calculation of the wave
function renormali- zation constants in affine Toda quantum field
theories. A general formula for the wave function renormalization constants in
ADE Toda field theories is proposed. We also calculate all one-particle form
factors and some of the two-particle form factors of an exponential field.Comment: harvmac, 28 pages, 2 eps figures, misprints correcte
Scattering of Plane Waves in Self-Dual Yang-Mills Theory
We consider the classical self-dual Yang-Mills equation in 3+1-dimensional
Minkowski space. We have found an exact solution, which describes scattering of
plane waves. In order to write the solution in a compact form, it is
convenient to introduce a scattering operator . It acts in the direct
product of three linear spaces: 1) universal enveloping of Lie algebra,
2) -dimensional vector space and 3) space of functions defined on the unit
interval.Comment: 16 pages, LaTeX fil
Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime
Generalized Kerr-NUT-de Sitter spacetime is the most general spacetime which
admits a rank-2 closed conformal Killing-Yano tensor. It contains the
higher-dimensional Kerr-de Sitter black holes with partially equal angular
momenta. We study the separability of gravitational perturbations in the
generalized Kerr-NUT-de Sitter spacetime. We show that a certain type of tensor
perturbations admits the separation of variables. The linearized perturbation
equations for the Einstein condition are transformed into the ordinary
differential equations of Fuchs type.Comment: 47 pages, LaTeX; v2: typos corrected; v3: a reference and comments
added, details of calculations are moved to appendices, version accepted for
publication in IJMP
Normalization of Off-shell Boundary State, g-function and Zeta Function Regularization
We consider the model in two dimensions with boundary quadratic deformation
(BQD), which has been discussed in tachyon condensation. The partition function
of this model (BQD) on a cylinder is determined, using the method of zeta
function regularization. We show that, for closed channel partition function, a
subtraction procedure must be introduced in order to reproduce the correct
results at conformal points. The boundary entropy (g-function) is determined
from the partition function and the off-shell boundary state. We propose and
consider a supersymmetric generalization of BQD model, which includes a
boundary fermion mass term, and check the validity of the subtraction
procedure.Comment: 21 pages, LaTeX, comments and 3 new references adde
Large and small Density Approximations to the thermodynamic Bethe Ansatz
We provide analytical solutions to the thermodynamic Bethe ansatz equations
in the large and small density approximations. We extend results previously
obtained for leading order behaviour of the scaling function of affine Toda
field theories related to simply laced Lie algebras to the non-simply laced
case. The comparison with semi-classical methods shows perfect agreement for
the simply laced case. We derive the Y-systems for affine Toda field theories
with real coupling constant and employ them to improve the large density
approximations. We test the quality of our analysis explicitly for the
Sinh-Gordon model and the -affine Toda field theory.Comment: 19 pages Latex, 2 figure
On the Classification of Brane Tilings
We present a computationally efficient algorithm that can be used to generate
all possible brane tilings. Brane tilings represent the largest class of
superconformal theories with known AdS duals in 3+1 and also 2+1 dimensions and
have proved useful for describing the physics of both D3 branes and also M2
branes probing Calabi-Yau singularities. This algorithm has been implemented
and is used to generate all possible brane tilings with at most 6
superpotential terms, including consistent and inconsistent brane tilings. The
collection of inconsistent tilings found in this work form the most
comprehensive study of such objects to date.Comment: 33 pages, 12 figures, 15 table
The Determinant Representation for a Correlation Function in Scaling Lee-Yang Model
We consider the scaling Lee-Yang model. It corresponds to the unique
perturbation of the minimal CFT model M(2,5). This is not a unitary model. We
used known expression for form factors in order to obtain a closed expression
for a correlation function of a trace of energy-momentum tensor. This
expression is a determinant of an integral operator. Similar determinant
representation were proven to be useful not only for quantum correlation
functions but also in matrix models.Comment: 14 pages, LaTeX, no figure
Form factor expansion for thermal correlators
We consider finite temperature correlation functions in massive integrable
Quantum Field Theory. Using a regularization by putting the system in finite
volume, we develop a novel approach (based on multi-dimensional residues) to
the form factor expansion for thermal correlators. The first few terms are
obtained explicitly in theories with diagonal scattering. We also discuss the
validity of the LeClair-Mussardo proposal.Comment: 41 pages; v2: minor corrections, v3: minor correction
Hermitian Yang-Mills instantons on resolutions of Calabi-Yau cones
We study the construction of Hermitian Yang-Mills instantons over resolutions
of Calabi-Yau cones of arbitrary dimension. In particular, in d complex
dimensions, we present an infinite family, parametrised by an integer k and a
continuous modulus, of SU(d) instantons. A detailed study of their properties,
including the computation of the instanton numbers is provided. We also explain
how they can be used in the construction of heterotic non-Kahler
compactifications.Comment: 20 pages, 1 figure; typos corrected, section 3.1 expande
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