Instanton Calculations for N=1/ 2 super Yang-Mills Theory

Details Instanton Calculations for N=1/ 2 super Yang-Mills Theory Instanton Calculations for N=1/ 2 super Yang-Mills Theory

2003-11-18

arxiv.org/abs/hep-th/0311155v2

JHEP 0407 (2004) 065

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, harmvac, Redone the computation of topological charge, a section has been rewritten and references added

Scientific paper

10.1088/1126-6708/2004/07/065

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.

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