Topic
Operator algebra
About: Operator algebra is a research topic. Over the lifetime, 5783 publications have been published within this topic receiving 165303 citations.
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TL;DR: In this article, the complete spectral curve for an arbitrary local operator, including fermions and covariant derivatives, of one-loop N=4 gauge theory in the thermodynamic limit was constructed.
Abstract: We construct the complete spectral curve for an arbitrary local operator, including fermions and covariant derivatives, of one-loop N=4 gauge theory in the thermodynamic limit. This curve perfectly reproduces the Frolov-Tseytlin limit of the full spectral curve of classical strings on AdS_5xS^5 derived in hep-th/0502226. To complete the comparison we introduce stacks, novel bound states of roots of different flavors which arise in the thermodynamic limit of the corresponding Bethe ansatz equations. We furthermore show the equivalence of various types of Bethe equations for the underlying su(2,2|4) superalgebra, in particular of the type "Beauty" and "Beast".
171 citations
TL;DR: In this paper, the authors present a study on the use of the Fis.Inst. Teorica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, Sao Paulo, SP
Abstract: Inst. de Fis. Teorica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, Sao Paulo, SP
171 citations
01 Mar 1985
171 citations
TL;DR: For vertex operator algebras of CFT type, this paper showed that C 2 -cofiniteness and rationality is equivalent to regularity, and showed that irreducible weak modules are ordinary modules.
Abstract: We demonstrate that, for vertex operator algebras of CFT type, C 2 -cofiniteness and rationality is equivalent to regularity. For C 2 -cofinite vertex operator algebras, we show that irreducible weak modules are ordinary modules and C 2 -cofinite, V + L is C 2 -cofinite, and the fusion rules are finite.
171 citations
Book•
01 Jan 2002
TL;DR: Spectral theory and Banach algebras as mentioned in this paper, operators on Hilbert space, asymptotics: compact perturbations and Fredholm theory, methods and applications.
Abstract: Spectral theory and Banach algebras * Operators on Hilbert space * Asymptotics: compact perturbations and Fredholm theory * Methods and applications * Bibliography * Index
170 citations