Comments on the N=2, N=3, N=4 Superconformal Algebras in Two-Dimensions

Schwimmer, A.; Seiberg, N.

doi:10.1016/0370-2693(87)90566-1

Comments on the N=2, N=3, N=4 Superconformal Algebras in Two-Dimensions

A. Schwimmer
(
- Weizmann Inst.
)
,
N. Seiberg
(
- Weizmann Inst. and
- Princeton, Inst. Advanced Study
)

Nov 10, 1986

6 pages

Published in:

Phys.Lett.B 184 (1987) 191-196

Published: 1987

DOI:

10.1016/0370-2693(87)90566-1

Report number:

WIS/86/54/Ph

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Abstract: (Elsevier)

We discuss the extended superconformal algebras (SCA's) in two dimensions. A general classification of the different algebras is presented. It is shown that the Neveu-Schwarz and the Ramond N = 2 SCA's are equivalent. We find two N = 3 SCA's and discuss their representations. Unitary highest weight representations of these algebras in terms of one boson and one fermion ( c = 3 2 are exhibited. We also find an infinite set of N = 4 SCA's and we comment on their representations.

ALGEBRA: CONFORMAL
ALGEBRA: REPRESENTATION
SUPERSYMMETRY: ALGEBRA
TWO-DIMENSIONAL
ALGEBRA: VIRASORO
ALGEBRA: KAC-MOODY

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