منابع مشابه
SYMMETRIC FUNCTIONS AND THE YANGIAN DECOMPOSITION OF THE FOCK AND BASIC MODULES OF THE AFFINE LIE ALGEBRA ŝlN
The decompositions of the Fock and Basic modules of the affine Lie algebra ŝlN into irreducible submodules of the Yangian algebra Y (glN ) are constructed. Each of the irreducible submodules admits the unique up to normalization eigenbasis of the maximal commutative subalgebra of the Yangian. The elements of this eigenbasis are identified with specializations of Macdonald symmetric functions wh...
متن کاملW-symmetry, topological vertex and affine Yangian
We discuss the representation theory of the non-linear chiral algebra W1+∞ of Gaberdiel and Gopakumar and its connection to the Yangian of û(1) whose presentation was given by Tsymbaliuk. The characters of completely degenerate representations of W1+∞ are given by the topological vertex. The Yangian picture provides an infinite number of commuting charges which can be explicitly diagonalized in...
متن کاملNotes on Fock Space
These notes are intended as a fairly self contained explanation of Fock space and various algebras that act on it, including a Clifford algebras, a Weyl algebra, and an affine Kac-Moody algebra. We also discuss how the various algebras are related, and in particular describe the celebrated boson-fermion correspondence. We finish by briefly discussing a deformation of Fock space, which is a repr...
متن کاملBerezin Transform on the Harmonic Fock Space
We show that the Berezin transform associated to the harmonic Fock (Segal-Bargmann) space on Cn has an asymptotic expansion analogously as in the holomorphic case. The proof involves a computation of the reproducing kernel, which turns out to be given by one of Horn’s hypergeometric functions of two variables, and an ad hoc determination of the asymptotic behaviour of the resulting integrals, t...
متن کاملq-AFFINE-YANGIAN DOUBLE CORRESPONDENCE AND FREE BOSON REPRESENTATION OF YANGIAN DOUBLE WITH ARBITRARY LEVEL
We derive a free boson representation of the Yangian double DY~(slN ) with arbitrary level k using the observation that there is a correspondence between the q-affine algebra and Yangian double associated with the same Cartan matrix. Vertex operator and screening currents are not obtained in the same way. Date: January 1997. 0 FREE BOSON REPRESENTATION OF YANGIAN DOUBLE 1
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2019
ISSN: 0034-5318
DOI: 10.4171/prims/55-1-6