In a series of two papers we will generalize the extended Sugawara construction to the superalgebra SU(M+1‖N+1). This first part contains ground work which we need to construct examples of closed extended algebras. We develop the tensor analysis for contractions of super d and f symbols, and we present a free-field representation of the super Kac-Moody currents at level 1 in terms of spin-0 fields. This is obtained from the standard spin-1/2 conjugate free-field representation by bosonization. Because of the mixed statistics, some of these conjugate pairs are of the βγ type–similar to the superghosts appearing in Neveu-Schwarz-Ramond strings. The partial check on bosonization we carry out, in which we compare the torus partition functions before and after bosonization, is also of interest in that context.

Extended Sugawara construction for the superalgebras SU(M+1‖N+1). I. Free-field representation and bosonization of super Kac-Moody currents / Bouwknegt, P; Ceresole, Anna Teresa; Mccarthy, J; VAN NIEUWENHUIZEN, P.. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - 39:10(1989), pp. 2971-2986. [10.1103/PhysRevD.39.2971]

Extended Sugawara construction for the superalgebras SU(M+1‖N+1). I. Free-field representation and bosonization of super Kac-Moody currents

CERESOLE, Anna Teresa;
1989

Abstract

In a series of two papers we will generalize the extended Sugawara construction to the superalgebra SU(M+1‖N+1). This first part contains ground work which we need to construct examples of closed extended algebras. We develop the tensor analysis for contractions of super d and f symbols, and we present a free-field representation of the super Kac-Moody currents at level 1 in terms of spin-0 fields. This is obtained from the standard spin-1/2 conjugate free-field representation by bosonization. Because of the mixed statistics, some of these conjugate pairs are of the βγ type–similar to the superghosts appearing in Neveu-Schwarz-Ramond strings. The partial check on bosonization we carry out, in which we compare the torus partition functions before and after bosonization, is also of interest in that context.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1648249
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