D=2, N=2, Supersymmetric theories on Non(anti)commutative Superspace

Abstract

The classical action of a two dimensional N=2 supersymmetric theory, characterized by a general Kähler potential, is written down on a non(anti)commutative superspace. The action has a power series expansion in terms of the determinant of the non(anti)commutativity parameter $C^{\alpha \beta }$. The theory is explicitly shown to preserve half of the N=2 supersymmetry, to all orders in (det C)^n. The results are further generalized to include arbitrary superpotentials as well.

32 pages, Latex; v2:minor typos corrected and a reference added

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Cited by in corpus (24)

• Vertex Operators for Closed Superstrings
• U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space
• Comments on Gluino Condensates in N=1/2 SYM Theory
• On nonanticommutative N=2 sigma-models in two dimensions
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Quantum Corrections in 2D SUSY CP^{N-1} Sigma Model on Noncommutative Superspace
• N=2 sigma model Action on Non(anti)commutative Superspace
• N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2
• The non-anticommutative supersymmetric Wess-Zumino model
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• N=1/2 supersymmetric four-dimensional non-linear sigma-models from non-anti-commutative superspace
• Summing up Non-anti-commutative Kaehler potential
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• One-loop effective potential in $\mathcal{N}=1/2$ generic chiral superfield model
• One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model
• The non-anticommutative supersymmetric U(1) gauge theory
• Non-anticommutative solitons
• A renormalisable non-anticommutative SU(N)xU(1) gauge theory in components
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• Renormalisation of the non-anticommutativity parameter at two loops