Quantum deformedsu(m/n) algebra and superconformal algebra on quantum superspace

I construct classical superextensions of the Virasoro algebra by employing the Ward identities of a linearly realized subalgebra. For the N = 4 superconformal algebra, this subalgebra is generated by the N = 2 U (1) supercurrent and a spin 0 N = 2 superfield. I show that this structure can be extended to an N = 4 super W3 algebra, and give the complete form of this algebra.

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Representations of superconformal algebra. Two-point and three-point Green's functions of scalar superfields

Theoretical and Mathematical Physics ◽

10.1007/bf01079417 ◽

1976 ◽

Vol 26 (2) ◽

pp. 125-131 ◽

Cited By ~ 13

Author(s):

V. V. Molotkov ◽

S. G. Petrova ◽

D. Ts. Stoyanov

Keyword(s):

Green's Functions ◽

Green’S Functions ◽

Superconformal Algebra

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$${\mathcal{N}=2}$$ Superconformal Algebra and the Entropy of Calabi–Yau Manifolds

Letters in Mathematical Physics ◽

10.1007/s11005-010-0387-3 ◽

2010 ◽

Vol 92 (3) ◽

pp. 269-297 ◽

Cited By ~ 6

Author(s):

Tohru Eguchi ◽

Kazuhiro Hikami

Keyword(s):

Superconformal Algebra ◽

Calabi Yau Manifolds

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CLASSICAL N=1 and N=2 SUPER W ALGEBRAS FROM A ZERO-CURVATURE CONDITION

International Journal of Modern Physics A ◽

10.1142/s0217751x94000182 ◽

1994 ◽

Vol 09 (03) ◽

pp. 383-398 ◽

Cited By ~ 5

Author(s):

FRANÇOIS GIERES ◽

STEFAN THEISEN

Keyword(s):

Superconformal Algebra ◽

Order System ◽

Curvature Condition ◽

First Order ◽

Zero Curvature

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 W algebras by imposing a zero-curvature condition on the connection of the corresponding first-order system. We illustrate the procedure on the first nontrivial example (beyond the N=1 superconformal algebra) and also comment on the relation with the Gelfand-Dickey construction of W algebras.

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Families of singular and subsingular vectors of the topological N = 2 superconformal algebra

Nuclear Physics B ◽

10.1016/s0550-3213(97)00827-4 ◽

1998 ◽

Vol 514 (3) ◽

pp. 477-522 ◽

Cited By ~ 8

Author(s):

Beatriz Gato-Rivera ◽

Jose Ignacio Rosado

Keyword(s):

Superconformal Algebra

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N=2 SUPERCONFORMAL INTERACTING BOSONIC MODELS

Modern Physics Letters A ◽

10.1142/s021773239200029x ◽

1992 ◽

Vol 07 (04) ◽

pp. 345-356 ◽

Cited By ~ 2

Author(s):

RON COHEN

Keyword(s):

Free Energy ◽

Energy Momentum Tensor ◽

Central Charge ◽

Oriented Graph ◽

Momentum Tensor ◽

Superconformal Algebra ◽

Chiral Algebra ◽

Bosonic Model ◽

Coset Models

Bosonic representations of N=2 superconformal algebra are studied. We show that the free energy momentum tensor decomposes into an orthogonal sum of the interacting bosonic model (IBM) and a coset-like tensors. We define the notion of flags of models and show that the central charge does not decrease along the flags. We examine the conditions for an arbitrary un-oriented graph to form an IBM. We discuss several properties of the chiral algebra of these models and examine the role of the continuous parameters by studying an example. Finally we discuss the relations between these models and the N=2 superconformal coset models.

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