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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.


Papers
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TL;DR: In this paper, the authors developed a general gauge-invariant Lagrangian construction for half-integer higher spin fields in the AdS space of any dimension, and showed that all the constraints determining an irreducible representation of the group arise as a consequence of the equations of motion and gauge transformations.

121 citations

Journal ArticleDOI
TL;DR: In this paper, it was shown that a simple vertex operator algebra generated by two weight 2 vectors is either a vertex algebra associated to an irreducible highest weight W(2, 2)- module or a tensor product of two simple Virasoro vertex operator algebras.
Abstract: In this paper the W-algebra W(2, 2) and its representation theory are studied. It is proved that a simple vertex operator algebra generated by two weight 2 vectors is either a vertex operator algebra associated to an irreducible highest weight W(2, 2)- module or a tensor product of two simple Virasoro vertex operator algebras. Furthermore, we show that any rational, C 2-cofinite and simple vertex operator algebra whose weight 1 subspace is zero, weight 2 subspace is 2-dimensional and with central charge c = 1 is isomorphic to $${L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}$$ .

120 citations

Journal ArticleDOI
TL;DR: In this paper, it was shown that the full rational CFT on oriented surfaces can admit inequivalent reversions, which give rise to different amplitudes on unoriented surfaces, in particular to different Klein bottle amplitudes.

120 citations

Journal ArticleDOI
TL;DR: In this paper, the authors show that a component in C(H ∞ ) is not in general the set of all composition operators that differ from the given one by a compact operator.
Abstract: Components and isolated points of the topological space of composition operators onH∞ in the uniform operator topology are characterized. Compact differences of two composition operators are also characterized. With the aid of these results, we show that a component inC(H ∞ ) is not in general the set of all composition operators that differ from the given one by a compact operator.

119 citations

Journal ArticleDOI
TL;DR: In this article, an infinite family of chiral operators whose exchange algebra is given by the universal R-matrix of the quantum group SL(2) petertodd qcffff was constructed.
Abstract: On the unit circle, an infinite family of chiral operators is constructed, whose exchange algebra is given by the universalR-matrix of the quantum groupSL(2) q . This establishes the precise connection between the chiral algebra of two dimensional gravity or minimal models and this quantum group. The method is to relate the monodromy properties of the operator differential equations satisfied by the generalized vertex operators with the exchange algebra ofSL(2) q . The formulae so derived, which generalize an earlier particular case worked out by Babelon, are remarkably compact and may be entirely written in terms of “q-deformed” factorials and binomial coefficients.

119 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202337
202277
2021125
2020141
2019173
2018169