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Higher spin BRS cohomology of supersymmetric chiral matter inD=4
Authors:J A Dixon  R Minasian  J Rahmfeld
Institution:(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 operatorsD agr, 
$$D_\alpha  ,\bar D_{\dot \beta } $$
and 
$$\partial _{x\dot \beta } $$
. Such superfields PSgr(a, b) can be chosen to have ldquoardquo symmetrized undotted indices agr i 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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