20,513 research outputs found
On the deformation of abelian integrals
We consider the deformation of abelian integrals which arose from the study
of SG form factors. Besides the known properties they are shown to satisfy
Riemann bilinear identity. The deformation of intersection number of cycles on
hyperelliptic curve is introduced.Comment: 8 pages, AMSTE
Baxter equations and Deformation of Abelian Differentials
In this paper the proofs are given of important properties of deformed
Abelian differentials introduced earlier in connection with quantum integrable
systems. The starting point of the construction is Baxter equation. In
particular, we prove Riemann bilinear relation. Duality plays important role in
our consideration. Classical limit is considered in details.Comment: 28 pages, 1 figur
A new set of exact form factors
Some mistaken reasonings at the end of the paper omitted
Gauge-Invariant Differential Renormalization: Abelian Case
A new version of differential renormalization is presented. It is based on
pulling out certain differential operators and introducing a logarithmic
dependence into diagrams. It can be defined either in coordinate or momentum
space, the latter being more flexible for treating tadpoles and diagrams where
insertion of counterterms generates tadpoles. Within this version, gauge
invariance is automatically preserved to all orders in Abelian case. Since
differential renormalization is a strictly four-dimensional renormalization
scheme it looks preferable for application in each situation when dimensional
renormalization meets difficulties, especially, in theories with chiral and
super symmetries. The calculation of the ABJ triangle anomaly is given as an
example to demonstrate simplicity of calculations within the presented version
of differential renormalization.Comment: 15 pages, late
New exact results on density matrix for XXX spin chain
Using the fermionic basis we obtain the expectation values of all
\slt-invariant and -invariant local operators on 10 sites for the
anisotropic six-vertex model on a cylinder with generic Matsubara data. This is
equivalent to the generalised Gibbs ensemble for the XXX spin chain. In the
case when the \slt and symmetries are not broken this computation is
equivalent to finding the entire density matrix up to 10 sites. As application,
we compute the entanglement entropy without and with temperature, and compare
the results with CFT predictions.Comment: 20 pages, 4 figure
Reflection relations and fermionic basis
There are two approaches to computing the one-point functions for sine-Gordon
model in infinite volume. One is a bootstrap type procedure based on the
reflection relations. Another uses the fermionic basis which was originally
found for the lattice six-vertex model. In this paper we show that the two
approaches are deeply interrelated.Comment: 17 pages; several typos are correcte
Suzuki equations and integrals of motion for supersymmetric CFT
Using equations proposed by J. Suzuki we compute numerically the first three
integrals of motion for supersymmetric CFT. Our computation agrees with
the results of ODE-CFT correspondence which was explained in a more general
context by S. Lukyanov.Comment: 11 page
One point functions of fermionic operators in the Super Sine Gordon model
We describe the integrable structure of the space of local operators for the
supersymmetric sine-Gordon model. Namely, we conjecture that this space is
created by acting on the primary fields by fermions and a Kac-Moody current. We
proceed with the computation of the one-point functions. In the UV limit they
are shown to agree with the alternative results obtained by solving the
reflection relations.Comment: 34 pages, two figure
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