Konishi Anomaly and Central Extension in N=1/2 Supersymmetry

Details Konishi Anomaly and Central Extension in N=1/2 Supersymmetry Konishi Anomaly and Central Extension in N=1/2 Supersymmetry

2005-05-16

arxiv.org/abs/hep-th/0505141v2

Nucl.Phys. B725 (2005) 327-351

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 26 pages, 6 figures; v2: references added

Scientific paper

10.1016/j.nuclphysb.2005.07.007

We show that the 4-dimensional N=1/2 supersymmetry algebra admits central extension. The central charges are supported by domain wall and the central charges are computed. We also determine the Konishi anomaly for N=1/2 supersymmetric gauge theory. Due to the new couplings in the Lagrangian, many terms appears. We show that these terms sum up to give the expected form for the holomorphic part of the Konishi anomaly. For the anti-holomorphic part, we give a simple argument that the naive generalization has to be modified. We suggest that the anti-holomorphic Konishi anomaly is given by a gauge invariant completion using open Wilson line.

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