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The recent measurement of a_\mu =\frac{g_\mu -2}{2} by the E821 Collaborationat Brookhaven deviates from the quoted Standard Model (SM) central valueprediction by 2.6\sigma. The difference between SM theory and experiment may beeasily accounted for in a variety of particle physics models employing weakscale supersymmetry (SUSY). Other supersymmetric models are distinctlydisfavored. We evaluate a_\mu for various supersymmetric models, includingminimal supergravity (mSUGRA), Yukawa unified SO(10) SUSY GUTs, models withinverted mass hierarchies (IMH), models with non-universal gaugino masses,gauge mediated SUSY breaking models (GMSB), anomaly-mediated SUSY breakingmodels (AMSB) and models with gaugino mediated SUSY breaking (inoMSB). Modelswith Yukawa coupling unification or multi-TeV first and second generationscalars are disfavored by the a_\mu measurement.Comment: 25 page REVTEX file with 10 PS figures. Minor rewording, typos  corrected, references adde

Impact of the muon anomalous magnetic moment on supersymmetric models