Загадки β-деформации
2012/01/01 by Алексей Юрьевич Морозов, A. Morozov, Aleksei Yur'evich Morozov · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebra over a field #BETA (programming language) #Black Holes and Theoretical Physics #Computer science #Context (archaeology) #Eigenvalues and eigenvectors #Fermion #Geometric and Algebraic Topology #Instanton #Mathematical physics #Mathematics #Matrix (chemical analysis) #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #hep-th #math-ph #math.MP
paper · pdf · doi:10.4213/tmf6967
published in Теоретическая и математическая физика 173(1), 104-126 (Springer Science+Business Media) · 20 pages
openalex publication_date 2012/01/01 · arxiv created 2012/01/28 · arxiv updated 2014/12/09 · openalex created_date 2022/10/02 · openalex updated_date 2026/06/11
Abstract
A brief review of problems, arising in the study of the beta-deformation, also known as "refinement", which appears as a central difficult element in a number of related modern subjects: β = 1 is responsible for deviation from free fermions in 2d conformal theories, from symmetric omega-backgrounds with ǫ 2 = -ǫ 1 in instanton sums in 4d SYM theories, from eigenvalue matrix models to betaensembles, from HOMFLY to super-polynomials in Chern-Simons theory, from quantum groups to elliptic and hyperbolic algebras etc.The main attention is paid to the context of AGT relation and its possible generalizations.
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