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Higher spin BRS cohomology of supersymmetric chiral matter inD=4
Authors:J. A. Dixon  R. Minasian  J. Rahmfeld
Affiliation:(1) Department of Physics and Astronomy, University of Calgary, 2500 University Drive NW, T2N/N4 Calgary, Alberta, Canada;(2) Center for Theoretical Physics, Physics Department, Texas A&M University, 77843 College Station, Texas, USA
Abstract:We examine the BRS cohomology of chiral matter inN=1,D=4 supersymmetry to determine a general form of composite superfield operators which can suffer from supersymmetry anomalies. Composite superfield operators PSgr(a, b) are products of the elementary chiral superfieldsS and
$$bar S$$
and the derivative operatorsDagr,
$$D_alpha  ,bar D_{dot beta } $$
and
$$partial _{xdot beta } $$
. Such superfields PSgr(a, b) can be chosen to have ldquoardquo symmetrized undotted indices agri and ldquobrdquo symmetrized dotted indices
$$dot beta _j $$
. The result derived here is that each composite superfield PSgr(a,b) is subject to potential supersymmetry anomalies ifa–b is an odd number, which means that PSgr(a,b) is a fermionic superfield.
Keywords:
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