91 12 02 6 v 1 1 1 D ec 1 99 1 Topological Kac - Moody Algebra and Wakimoto Representation
نویسنده
چکیده
It is shown, using the Wakimoto representation, that the level zero SU(2) Kac-Moody conformal field theory is topological and can be obtained by twisting an N=2 superconformal theory. Expressions for the associated N=2 superconformal generators are written down and the Kac-Moody generators are shown to be BRST exact .
منابع مشابه
ar X iv : h ep - t h / 93 04 12 2 v 1 2 6 A pr 1 99 3 AS - ITP - 93 - 14 February 1 , 2008 Modules Over Affine Lie Superalgebras
Modules over affine Lie superalgebras G are studied, in particular, for G = ̂ OSP (1, 2). It is shown that on studying Verma modules, much of the results in Kac-Moody algebra can be generalized to the super case. Of most importance are the generalized Kac-Kazhdan formula and the Malikov-Feigin-Fuchs construction, which give the weights and the explicit form of the singular vectors in the Verma m...
متن کاملModular invariant representations of infinite-dimensional Lie algebras and superalgebras.
In this paper, we launch a program to describe and classify modular invariant representations of infinite-dimensional Lie algebras and superalgebras. We prove a character formula for a large class of highest weight representations L(lambda) of a Kac-Moody algebra [unk] with a symmetrizable Cartan matrix, generalizing the Weyl-Kac character formula [Kac, V. G. (1974) Funct. Anal. Appl. 8, 68-70]...
متن کامل/ 96 07 02 9 v 1 3 J ul 1 99 6 The elliptic genus of Calabi - Yau 3 - and 4 - folds , product formulae and generalized Kac - Moody algebras
The elliptic genus of Calabi-Yau 3-and 4-folds, product formulae and generalized Kac-Moody algebras. ABSTRACT In this paper the elliptic genus for a general Calabi-Yau fourfold is derived. The recent work of Kawai calculating N=2 heterotic string one-loop threshold corrections with a Wilson line turned on is extended to a similar computation where K3 is replaced by a general Calabi-Yau 3-or 4-f...
متن کاملar X iv : h ep - t h / 92 12 03 9 v 1 5 D ec 1 99 2 On Free Boson Representations of
A boson representation of the quantum affine algebra Uq(ŝl 2) is realized based on the Wakimoto construction. We discuss relations with the other boson representations.
متن کاملar X iv : h ep - t h / 98 03 00 6 v 1 2 M ar 1 99 8 HYPERBOLIC KAC - MOODY ALGEBRA FROM INTERSECTING P - BRANES
A subclass of recently discovered class of solutions in multidimensional gravity with intersecting p-branes related to Lie algebras and governed by a set of harmonic functions is considered. This subclass in case of three Euclidean p-branes (one electric and two magnetic) contains a cosmological solution to D = 11 supergravity related to hyperbolic Kac-Moody algebra F 3 (of rank 3). This soluti...
متن کامل