منابع مشابه
N = 2 Supersymmetric Pseudodifferential Symbols and Super W-algebras
We study the superconformally covariant pseudodifferential symbols defined on N = 2 super Riemann surfaces. This allows us to construct a primary basis for N = 2 super W (n) KP -algebras and, by reduction, for N = 2 super Wn-algebras.
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We present an algebraic approach to string theory, using a Hamiltonian reduction of N = 2 WZW models. An embedding of sl(1|2) in a Lie superalgebra determines a niltopent subalgebra. Chirally gauging this subalgebra in the corresponding WZW action leads to an extension of the N = 2 superconformal algebra. We classify all the embeddings of sl(1|2) into Lie superalgebras: this provides an exhaust...
متن کاملHolomorphic Vertex Operator Algebras of Small Central Charge
We provide a rigorous mathematical foundation to the study of strongly rational, holomorphic vertex operator algebras V of central charge c = 8, 16 and 24 initiated by Schellekens. If c = 8 or 16 we show that V is isomorphic to a lattice theory corresponding to a rank c even, self-dual lattice. If c = 24 we prove, among other things, that either V is isomorphic to a lattice theory corresponding...
متن کاملRational Vertex Operator Algebras and the Effective Central Charge
We establish that the Lie algebra of weight one states in a (strongly) rational vertex operator algebra is reductive, and that its Lie rank l is bounded above by the effective central charge c̃. We show that lattice vertex operator algebras may be characterized by the equalities c̃ = l = c, and in particular holomorphic lattice theories may be characterized among all holomorphic vertex operator a...
متن کاملQuantum BRST Charge for Quadratically Nonlinear Lie Algebras
We consider the construction of a nilpotent BRST charge for extensions of the Virasoro algebra of the form {Ta, Tb} =f,{Tc+ V~,~TcTd, (classical algebras in terms of Poisson brackets) and [To, TbJ = habI + f~{ T~ + V~ (T~ Te) (quantum algebras in terms of commutator brackets; normal ordering of the product (T~ Te) is understood). In both cases we assume that the set of generators {To} splits in...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1991
ISSN: 0370-2693
DOI: 10.1016/0370-2693(91)91833-h