Cosets of affine vertex algebras inside larger structures
نویسندگان
چکیده
منابع مشابه
Twisted vertex representations of quantum affine algebras
Recent interests in quantum groups are stimulated by their marvelous relations with quantum Yang-Baxter equations, conformal field theory, invariants of links and knots, and q-hypergeometric series. Besides understanding the reason of the appearance of quantum groups in both mathematics and theoretical physics there is a natural problem of finding q-deformations or quantum analogues of known st...
متن کاملVertex representations of quantum affine algebras.
We construct vertex representations of quantum affine algebras of ADE type, which were first introduced in greater generality by Drinfeld and Jimbo. The limiting special case of our construction is the untwisted vertex representation of affine Lie algebras of Frenkel-Kac and Segal. Our representation is given by means of a new type of vertex operator corresponding to the simple roots and satisf...
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In this paper, we apply the general theory of tensor products of modules for a vertex operator algebra developed in [HL1]–[HL6] and [H1]–[H2] to the case of the Wess-Zumino-Novikov-Witten models (WZNW models) and related models in conformal field theory. Together with these papers, this paper, among other things, completes the solution of the open problem of constructing the desired braided ten...
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 کاملVertex 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.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2019
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2018.10.007