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Non-Abelian Sugawara construction and the q-deformed N = 2 superconformal algebra

E Batista, J F Gomes and I J Lautenschleguer

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The construction of a q-deformed N = 2 superconformal algebra is proposed in terms of level-1 currents of the quantum affine Lie algebra and a single real Fermi field. In particular, it suggests the expression for the q-deformed energy - momentum tensor in the Sugawara form. Its constituents generate two isomorphic quadratic algebraic structures. The generalization to is also proposed.


PACS

02.10.Ud Linear algebra

02.10.De Algebraic structures and number theory

03.65.Fd Algebraic methods

MSC

81Rxx Groups and algebras in quantum theory

17B68 Virasoro and related algebras

17B67 Kac-Moody (super)algebras (structure and representation theory)

17B69 Vertex operators; vertex operator algebras and related structures

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 19 (7 October 1996)

Received 14 March 1996



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