منابع مشابه
Free Field Realization of N = 2 Super W 3 Algebra
We study the quantum N = 2 super-W3 algebra using the free field realization, which is obtained from the supersymmetric Miura transformation associated with the Lie superalgebra A(2|1). We compute the full operator product expansions of the algebra explicitly. It is found that the results agree with those obtained by the OPE method. ∗Address after March 1, 1993: Institute of Physics, University...
متن کاملThe N = 2 super W 4 algebra and its associated generalized KdV hierarchies
We construct the N = 2 super W4 algebra as a certain reduction of the second Gel’fand-Dikii bracket on the dual of the Lie superalgebra of N = 1 super pseudodifferential operators. The algebra is put in manifestly N = 2 supersymmetric form in terms of three N = 2 superfields Φi(X), with Φ1 being the N = 2 energy momentum tensor and Φ2 and Φ3 being conformal spin 2 and 3 superfields respectively...
متن کاملOn the Classical W Algebra
We consider the classical W (2) 4 algebra from the integrable system viewpoint. The integrable evolution equations associated with the W (2) 4 algebra are constructed and the Miura maps , consequently modifications , are presented. Modifying the Miura maps, we give a free field realization the classical W (2) 4 algebra. We also construct the Toda type integrable systems for it.
متن کاملClassical N = 1 and N = 2 super W - algebras from a zero - curvature condition
Starting from superdifferential operators in an N = 1 superfield formulation, we present a systematic prescription for the derivation of classical N = 1 and N = 2 super Walgebras by imposing a zero-curvature condition on the connection of the corresponding first order system. We illustrate the procedure on the first non-trivial example (beyond the N = 1 superconformal algebra) and also comment ...
متن کاملQuasi-classical Lie-super Algebra and Lie-super Triple Systems
Notions of quasi-classical Lie-super algebra as well as Lie-super triple systems have been given and studied with some examples. Its application to Yang-Baxter equation has also been given. 1991 Mathematics Subject Classification Primary 17A40, 17B60
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1993
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x93001478