Comments on Gluino Condensates in N=1/2 SYM Theory

Abstract

Using Ward identities of N=1/2 supersymmetric Yang-Mills theory, we show that while the partition function and antichiral gluino condensates remain invariant under the $C$ deformation, chiral gluino correlators can get contributions from all gauge fields with instanton numbers $k\le 1$. In particular, a Ward identity of the $U(1{)}_R$ symmetry allows us to determine the explicit dependence of chiral gluino correlators on the deformation parameter.

11 pages, 4 figures, small changes, added a reference

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Cited by in corpus (28)

• Vertex Operators for Closed Superstrings
• N=1/2 gauge theory and its instanton moduli space from open strings in R-R background
• U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space
• N=2 Supersymmetric U(1) Gauge Theory in Noncommutative Harmonic Superspace
• N=1/2 quiver gauge theories from open strings with R-R fluxes
• Singlet Deformation and Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Instanton Calculations for N=1/ 2 super Yang-Mills Theory
• Deformed Supersymmetry in Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• Chiral effective potential in $\mathcal{N}=1/2$ non-commutative Wess-Zumino model
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Spectral Degeneracy in Supersymmetric Gluodynamics and One-Flavor QCD related to N=1/2 SUSY
• 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
• N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• Non(anti)commutative superspace with coordinate-dependent deformation
• More on the Tensor Response of the QCD Vacuum to an External Magnetic Field
• Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory and Deformed Instanton Equations
• Instantons and Matter in N=1/2 Supersymmetric Gauge Theory
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• Quantum Mechanics in Non(Anti)Commutative Superspace
• AdS/CFT Duality for Non-Anticommutative Supersymmetric Gauge Theory
• On A Superfield Extension of The ADHM Construction and N=1 Super Instantons
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory