Integrable structure, W-symmetry and AGT relation

A bstract In these notes we consider integrable structure of the conformal field theory with the algebra of symmetries , where W n is W –algebra and H is Heisenberg algebra. We found the system of commuting Integrals of Motion with relatively simple properties. In particular, this system has very si...

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Bibliographic Details
Published in:The journal of high energy physics 2012-01, Vol.2012 (1), Article 51
Main Authors: Fateev, V. A., Litvinov, A. V.
Format: Article
Language:English
Subjects:
Algebra
Classical and Quantum Gravitation
Eigenvectors
Elementary Particles
Field theory
High energy physics
Operators (mathematics)
Partitions (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
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Summary:A bstract In these notes we consider integrable structure of the conformal field theory with the algebra of symmetries , where W n is W –algebra and H is Heisenberg algebra. We found the system of commuting Integrals of Motion with relatively simple properties. In particular, this system has very simple spectrum and the matrix elements of special primary operators between its eigenstates have nice factorized form coinciding exactly with the contribution of the bifundamental multiplet to the Nekrasov partition function for U( n ) gauge theories.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2012)051