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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 paper, the Lieb-Robinson theorem is generalized to systems whose Hamiltonian is the sum of local operators whose commutators are bounded, and the authors generalize it to the case of systems whose local operators are bounded.
Abstract: We generalize the Lieb-Robinson theorem to systems whose Hamiltonian is the sum of local operators whose commutators are bounded.
43 citations
TL;DR: In this paper, the computation of the operator algebra in conformal field theories with Feigin-Fuks type correlation functions is described, and the special features of non-diagonal theories are pointed out.
43 citations
TL;DR: In this article, it was shown that every invertible operator in the nest algebra alg N is an all-derivable point of the algebra for the strongly operator topology.
43 citations
TL;DR: In this paper, it was shown that for p ≥ 2, the Banach space is *-semisimple (in a generalized sense) for continuous functions on a compact Hausdorff measure space.
43 citations
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TL;DR: In this paper, a class of vertex operator algebras which arise at junctions of supersymmetric interfaces in super Yang Mills gauge theory is introduced, which satisfy non-trivial duality relations inherited from S-duality of the four-dimensional gauge theory.
Abstract: We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in ${\cal N}=4$ Super Yang Mills gauge theory. These vertex algebras satisfy non-trivial duality relations inherited from S-duality of the four-dimensional gauge theory. The gauge theory construction equips the vertex algebras with collections of modules labelled by supersymmetric interface line defects. We discuss in detail the simplest class of algebras $Y_{L,M,N}$, which generalizes $W_N$ algebras. We uncover tantalizing relations between $Y_{L,M,N}$, the topological vertex and the $W_{1+\infty}$ algebra.
43 citations