Character Formulae and the Structure of the Representations of the $N=1$, $N=2$ Superconformal Algebras

Kiritsis, Elias

doi:10.1142/S0217751X88000795

Character Formulae and the Structure of the Representations of the $N=1$ , $N=2$ Superconformal Algebras

Elias Kiritsis
(
- Caltech
)

Jul, 1986

38 pages

Published in:

Int.J.Mod.Phys.A 3 (1988) 1871

DOI:

10.1142/S0217751X88000795

Report number:

CALT-68-1347

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Abstract: (WSP)

The unitary representations of the N=1 and N=2 superconformal algebras are analyzed. The embedding structure of all the degenerate representations is studied. Character formulae are derived for the degenerate representations including those which

\tilde c \ge 1

. The relation between characters and the exact partition functions of 2-d critical statistical systems is explored. The

\tilde c = 1/3

, N=2 superconformal system is analyzed from the group theoretic point of view and it is shown to be a subsector of the N=1, ĉ=2/3 theory.

SUPERSYMMETRY: REPRESENTATION
ALGEBRA: CONFORMAL
GROUP THEORY
STATISTICAL MECHANICS: TWO-DIMENSIONAL

References(12)

Figures(0)

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Character Formulae and the Structure of the Representations of the N=1N=1N=1, N=2N=2N=2 Superconformal Algebras

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Character Formulae and the Structure of the Representations of the $N=1$ , $N=2$ Superconformal Algebras