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

Journal Article · Mon May 15 04:00:00 EDT 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.2971· OSTI ID:6139682

Bouwknegt, P; Ceresole, A; McCarthy, J G; van Nieuwenhuizen, P

In a series of two papers we will generalize the extended Sugawara construction to the superalgebra SU(/ital M/+1/vert bar//ital 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 /ital d/ and /ital 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 ..beta gamma.. 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.

• Research Organization: Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3840(US)
• OSTI ID: 6139682
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 39:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSON EXPANSION
CURRENT ALGEBRA
ENERGY-MOMENTUM TENSOR
FIELD THEORIES
FUNCTIONS
LIE GROUPS
PARTICLE PROPERTIES
PARTITION FUNCTIONS
SPIN
SU GROUPS
SYMMETRY GROUPS
TENSORS