Instanton Calculations for N=1/ 2 super Yang-Mills Theory
arXiv:hep-th/0311155 · doi:10.1088/1126-6708/2004/07/065
Abstract
We study (anti-) instantons in super Yang-Mills theories defined on a non anticommutative superspace. The instanton solution that we consider is the same as in ordinary SU(2) N=1 super Yang-Mills, but the anti-instanton receives corrections to the U(1) part of the connection which depend quadratically on fermionic coordinates, and linearly on the deformation parameter C. By substituting the exact solution into the classical Lagrangian the topological charge density receives a new contribution which is quadratic in C and quartic in the fermionic zero-modes. The topological charge turns out to be zero. We perform an expansion around the exact classical solution in presence of a fermionic background and calculate the full superdeterminant contributing to the one-loop partition function. We find that the one-loop partition function is not modified with respect to the usual N=1 super Yang-Mills.
arXiv comment27 pages, harmvac, Redone the computation of topological charge, a section has been rewritten and references added
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- Non-local Wess-Zumino Model on Nilpotent Noncommutative Superspace
- Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories
- Deformed Supersymmetry in Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
- 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
- Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
- Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
- Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
- Non(anti)commutative superspace with coordinate-dependent deformation
- 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
- 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