918 research outputs found
Classical Limit of the Three-Point Function from Integrability
We give analytic expression for the three-point function of three large
classical non-BPS operators N=4 Super-Yang-Mills theory at weak coupling. We
restrict ourselves to operators belonging to an su(2) sector of the theory. In
order to carry out the calculation we derive, by unveiling a hidden
factorization property, the thermodynamical limit of Slavnov's determinant.Comment: 4 pages, 2 figure
On N-wave type systems and their gauge equivalent
The class of nonlinear evolution equations - gauge equivalent to the N-wave
equations related to the simple Lie algebra g are derived and analyzed. They
are written in terms of the functions S(x,t) satisfying r= rank g nonlinear
constraints. The corresponding Lax pairs and the time evolution of the
scattering data are found. The Zakharov-Shabat dressing method is appropriately
modified to construct their soliton solutions.Comment: 5 pages, LaTeX 2e, revised versio
The Potts-q random matrix model : loop equations, critical exponents, and rational case
In this article, we study the q-state Potts random matrix models extended to
branched polymers, by the equations of motion method. We obtain a set of loop
equations valid for any arbitrary value of q. We show that, for q=2-2 \cos {l
\over r} \pi (l, r mutually prime integers with l < r), the resolvent satisfies
an algebraic equation of degree 2 r -1 if l+r is odd and r-1 if l+r is even.
This generalizes the presently-known cases of q=1, 2, 3. We then derive for any
0 \leq q \leq 4 the Potts-q critical exponents and string susceptibility.Comment: 7 pages, submitted to Phys. Letters
Fordy-Kulish models and spinor Bose-Einstein condensates
A three-component nonlinear Schrodinger-type model which describes spinor
Bose-Einstein condensate (BEC) is considered. This model is integrable by the
inverse scattering method and using Zakharov-Shabat dressing method we obtain
three types of soliton solutions. The multi-component nonlinear Schrodinger
type models related to symmetric spaces C.I Sp(4)/U(2) is studied.Comment: 8 pages, LaTeX, jnmp styl
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