QUANTUM VERTEX OPERATORS FOR THE SINE–GORDON MODEL
نویسندگان
چکیده
منابع مشابه
Vertex Operators for Twisted Quantum Affine Algebras
We construct explicitly the q-vertex operators (intertwining operators) for the level one modules V (Λi) of the classical quantum affine algebras of twisted types using interacting bosons, where i = 0, 1 for A (2) 2n−1, i = 0 for D (3) 4 , i = 0, n for D (2) n+1, and i = n for A (2) 2n . A perfect crystal graph for D (3) 4 is constructed as a by-product.
متن کاملq-VERTEX OPERATORS FOR QUANTUM AFFINE ALGEBRAS
q-vertex operators for quantum affine algebras have played important role in the theory of solvable lattice models and the quantum KnizhnikZamolodchikov equation. Explicit constructions of these vertex operators for most level one modules are known for classical types except for type C (1) n , where the level −1/2 have been constructed. In this paper we survey these results for the quantum affi...
متن کاملOn Spectral Theory of Quantum Vertex Operators
In this note we prove a conjecture from [DFJMN] on the asymptotics of the composition of n quantum vertex operators for the quantum affine algebra Uq(ŝl2), as n goes to ∞. For this purpose we define and study the leading eigenvalue and eigenvector of the product of two components of the quantum vertex operator. This eigenvector and the corresponding eigenvalue were recently computed by M.Jimbo....
متن کاملVertex operators for quantum groups and application to integrable systems
Starting with any R-matrix with spectral parameter, obeying the YangBaxter equation and a unitarity condition, we construct the corresponding infinite dimensional quantum group UR in term of a deformed oscillators algebra AR. The realization we present is an infinite series, very similar to a vertex operator. Then, considering the integrable hierarchy naturally associated to AR, we show that UR...
متن کاملVertex operators for the supermembrane
We derive the vertex operators that are expected to govern the emission of the massless d = 11 supermultiplet from the supermembrane in the light cone gauge. We demonstrate that they form a representation of the supersymmetry algebra and reduce to the type-IIA superstring vertex operators under double-dimensional reduction, as well as to the vertices of the d = 11 superparticle in the point-par...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2000
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x00001932