1,180 research outputs found
Excited State Destri - De Vega Equation for Sine-Gordon and Restricted Sine-Gordon Models
We derive a generalization of the Destri - De Vega equation governing the
scaling functions of some excited states in the Sine-Gordon theory. In
particular configurations with an even number of holes and no strings are
analyzed and their UV limits found to match some of the conformal dimensions of
the corresponding compactified massless free boson. Quantum group reduction
allows to interpret some of our results as scaling functions of excited states
of Restricted Sine-Gordon theory, i.e. minimal models perturbed by phi_13 in
their massive regime. In particular we are able to reconstruct the scaling
functions of the off-critical deformations of all the scalar primary states on
the diagonal of the Kac-table.Comment: Latex, 12 page
Generalized KdV and Quantum Inverse Scattering Description of Conformal Minimal Models
We propose an alternative description of 2 dimensional Conformal Field Theory
in terms of Quantum Inverse Scattering. It is based on the generalized KdV
systems attached to , yielding the classical limit of Virasoro as
Poisson bracket structure. The corresponding T-system is shown to coincide with
the one recently proposed by Kuniba and Suzuki. We classify the primary
operators of the minimal models that commute with all the Integrals of Motion,
and that are therefore candidates to perturb the model by keeping the
conservation laws. For our structure these happen to be
, in contrast to the case,
studied by Bazhanov, Lukyanov and Zamolodchikov~\cite{BLZ}, related to
.Comment: 12 pages, latex. 1 reference adde
Mass Generation in Perturbed Massless Integrable Models
We extend form-factor perturbation theory to non--integrable deformations of
massless integrable models, in order to address the problem of mass generation
in such systems. With respect to the standard renormalisation group analysis
this approach is more suitable for studying the particle content of the
perturbed theory. Analogously to the massive case, interesting information can
be obtained already at first order, such as the identification of the operators
which create a mass gap and those which induce the confinement of the massless
particles in the perturbed theory
27/32
We show that when an N=2 SCFT flows to an N=1 SCFT via giving a mass to the
adjoint chiral superfield in a vector multiplet with marginal coupling, the
central charges a and c of the N=2 theory are related to those of the N=1
theory by a universal linear transformation. In the large N limit, this
relationship implies that the central charges obey a_IR/a_UV=c_IR/c_UV=27/32.
This gives a physical explanation to many examples of this number found in the
literature, and also suggests the existence of a flow between some theories not
previously thought to be connected.Comment: 3 pages. v2: references added, minor typos correcte
Born-Infeld Type Extension of (Non-)Critical Gravity
We consider the Born-Infeld type extension of (non-)critical gravity which is
higher curvature gravity on Anti de-Sitter space with specific combinations of
scalar curvature and Ricci tensor. This theory may also be viewed as a natural
extension of three-dimensional Born-Infeld new massive gravity to arbitrary
dimensions. We show that this extension is consistent with holographic
-theorem and scalar graviton modes are absent in this theory. After showing
that ghost modes in the theory can be truncated consistently by appropriate
boundary conditions, we argue that the theory is classically equivalent to
Einstein gravity at the non-linear level. Black hole solutions are discussed in
the view point of the full non-linear classical equivalence between the theory
and Einstein gravity. Holographic entanglement entropy in the theory is also
briefly commented on.Comment: 1+13 pages, improvements in presentation, references added, accepted
to PR
Holographic Dual of BCFT
We propose a holographic dual of a conformal field theory defined on a
manifold with boundaries, i.e. boundary conformal field theory (BCFT). Our new
holography, which may be called AdS/BCFT, successfully calculates the boundary
entropy or g-function in two dimensional BCFTs and it agrees with the finite
part of the holographic entanglement entropy. Moreover, we can naturally derive
a holographic g-theorem. We also analyze the holographic dual of an interval at
finite temperature and show that there is a first order phase transition.Comment: 5 pages, 3 figs, a reference added, typos corrected, to be published
in PR
Effective Field Theory and Projective Construction for the Z_k Parafermion Fractional Quantum Hall States
The projective construction is a powerful approach to deriving the bulk and
edge field theories of non-Abelian fractional quantum Hall (FQH) states and
yields an understanding of non-Abelian FQH states in terms of the simpler
integer quantum Hall states. Here we show how to apply the projective
construction to the Z_k parafermion (Laughlin/Moore-Read/Read-Rezayi) FQH
states, which occur at filling fraction \nu = k/(kM+2). This allows us to
derive the bulk low energy effective field theory for these topological phases,
which is found to be a Chern-Simons theory at level 1 with a U(M) \times Sp(2k)
gauge field. This approach also helps us understand the non-Abelian quasiholes
in terms of holes of the integer quantum Hall states.Comment: 7 page
Lattice analogues of W-algebras and Classical Integrable Equations
We propose a regular way to construct lattice versions of -algebras, both
for quantum and classical cases. In the classical case we write the algebra
explicitly and derive the lattice analogue of Boussinesq equation from the
Hamiltonian equations of motion. Connection between the lattice
Faddeev-Takhtadjan-Volkov algebra [1] and q-deformed Virasoro is also
discussed.Comment: LaTeX, ILG-TMP-93-01, (the problems caused by mailer are fixed
Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-abelian quantum Hall states
Non-abelian quantum Hall states are characterized by the simultaneous
appearance of charge and neutral gapless edge modes, with the structure of the
latter being intricately related to the existence of bulk quasi-particle
excitations obeying non-abelian statistics. In general, it is hard to probe the
neutral modes in charge transport measurements and a thermal transport
measurement seems to be inevitable. Here we propose a setup which can get
around this problem by having two point contacts in series separated by a
distance set by the thermal equilibration length of the charge mode. We show
that by using the first point contact as a heating device, the excess charge
noise measured at the second point contact carries a non-trivial signature of
the presence of the neutral mode hence leading to its indirect detection. We
also obtain explicit expressions for the thermal conductance and corresponding
Lorentz number for transport across a quantum point contact between two edges
held at different temperatures and chemical potentials
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