On the Unitary Representations of N=2 Superconformal Theory

Di Vecchia, P.; Petersen, J.L.; Yu, M.

doi:10.1016/0370-2693(86)90837-3

On the Unitary Representations of N=2 Superconformal Theory

Jan, 1986

5 pages

Published in:

Phys.Lett.B 172 (1986) 211-215

Published: 1986

DOI:

10.1016/0370-2693(86)90837-3

Report number:

NBI-HE-86-04

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Abstract: (Elsevier)

The Kac formula for superconformal dimensions (generalized to N = 2) is further developed (compared to a previous article). A list of discrete values of the central charge for which unitary representations are expected to exist is proposed. For several of these, unitarity is checked by computer. For two values, unitarity is proven by providing explicit fermionic representations. For one of those values, the N = 2 theory coincides with a sub theory of one of the known unitary N = 1 theories, thus extending a similar situation between N = 0 and N = 1.

FIELD THEORY: TWO-DIMENSIONAL
ALGEBRA: CONFORMAL
ALGEBRA: REPRESENTATION
ALGEBRA: KAC-MOODY
SUPERSYMMETRY: CENTRAL CHARGE
UNITARITY

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