45 research outputs found
On the N=1 super Liouville four-point functions
We construct the four-point correlation functions containing the top
component of the supermultiplet in the Neveu-Schwarz sector of the N=1 SUSY
Liouville field theory. The construction is based on the recursive
representation for the NS conformal blocks. We test our results in the case
where one of the fields is degenerate with a singular vector on the level 3/2.
In this case, the correlation function satisfies a third-order ordinary
differential equation, which we derive. We numerically verify the crossing
symmetry relations for the constructed correlation functions in the
nondegenerate case.Comment: 23 page
Monopole creation operators as confinement--deconfinement order parameters
We study numerically two versions of the monopole creation operators proposed
by Frohlich and Marchetti. The disadvantage of the old version of the monopole
creation operator is due to visibility of the Dirac string entering the
definition of the creation operator in the theories with coexisting electric
and magnetic charges. This problem does not exist for the new creation operator
which is rather complicated. Using the Abelian Higgs model with a compact gauge
field we show that both definitions of the monopole creation operator can serve
as order parameters for the confinement--deconfinement phase transition. The
value of the monopole condensate for the old version depends on the length of
Dirac string. However, as soon as the length is fixed the old operator
certainly discriminates between the phases with condensed and non--condensed
monopoles.Comment: 12 pages, 7 figures, LaTeX2
Instanton moduli spaces and bases in coset conformal field theory
Recently proposed relation between conformal field theories in two dimensions
and supersymmetric gauge theories in four dimensions predicts the existence of
the distinguished basis in the space of local fields in CFT. This basis has a
number of remarkable properties, one of them is the complete factorization of
the coefficients of the operator product expansion. We consider a particular
case of the U(r) gauge theory on C^2/Z_p which corresponds to a certain coset
conformal field theory and describe the properties of this basis. We argue that
in the case p=2, r=2 there exist different bases. We give an explicit
construction of one of them. For another basis we propose the formula for
matrix elements.Comment: 31 pages, 3 figure
Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks
We construct, generalizing appropriately the method applied by J. Teschner in
the case of the Virasoro conformal blocks, the braiding and fusion matrices of
the Neveu-Schwarz super-conformal blocks. Their properties allow for an
explicit verification of the bootstrap equation in the NS sector of the N=1
supersymmetric Liouville field theory.Comment: 41 pages, 3 eps figure
Semiclassical Study of Baryon and Lepton Number Violation in High-Energy Electroweak Collisions
We make use of a semiclassical method for calculating the suppression
exponent for topology changing transitions in high-energy electroweak
collisions. In the Standard Model these processes are accompanied by violation
of baryon and lepton number. By using a suitable computational technique we
obtain results for s-wave scattering in a large region of initial data. Our
results show that baryon and lepton number violation remains exponentially
suppressed up to very high energies of at least 30 sphaleron masses (250 TeV).
We also conclude that the known analytic approaches inferred from low energy
expansion provide reasonably good approximations up to the sphaleron energy (8
TeV) only.Comment: 23 pages, 18 figures. Phys.Rev.D journal version (two references
added
Recursion representation of the Neveu-Schwarz superconformal block
Four-point super-conformal blocks for the N = 1 Neveu-Schwarz algebra are
defined in terms of power series of the even super-projective invariant.
Coefficients of these expansions are represented both as sums over poles in the
"intermediate" conformal weight and as sums over poles in the central charge of
the algebra. The residua of these poles are calculated in both cases. Closed
recurrence relations for the block coefficients are derived.Comment: 20 page
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
Localisation of Fermions to brane: Codimension
We investigate dimensional fermionic models in which the system in
codimension- supports a topologically stable solution, and in which the
fermion may be localised to the brane, with power law in 'instanton'
backgrounds and exponentially in 'soliton' backgrounds. When the fermions are
isoscalars, the mechanism fails, while for isospinor fermions it is successful.
As backgrounds we consider instantons of Yang--Mills and sigma models in even
codimensions, solitons of sigma models in odd codimensions, as well as solitons
of Higgs and Goldstone models in all codimensions.Comment: 20 pages latex; expande