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Original Articles

EXTENSIONS OF MODULES OVER SUPERCURRENT CONFORMAL ALGEBRAS

Pages 3061-3068 | Received 01 Feb 2000, Published online: 20 Oct 2011
 

Abstract

In the papers Citation[2] and Citation[3], Cheng, Kac and Wakimoto classify extensions between finite conformal modules over the Virasoro, the Neveu-Schwarz, the current and the semidirect sum of the Virasoro and the current conformal algebras. In this paper, we continue their program and classify extensions between two finite irreducible modules over the supercurrent conformal algebras. The method here as in Citation[3] is based on the theory of conformal modules Citation[1] and the techniques developed in Citation[2].

ACKNOWLEDGMENTS

Partially supported by NSC grant 89-2115-M-006-002 of R.O.C.

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