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AbstractAbstract
[en] Some aspects of supersymmetric gauge theories are discussed. It is shown that dynamical supersymmetry breaking does not occur in supersymmetric QED in higher dimensions. The cancellation of both local (perturbative) and global (non-perturbative) gauge anomalies are also discussed in supersymmetric gauge theories. We argue that there is no dynamical supersymmetry breaking in higher dimensions in any supersymmetric gauge theories free of gauge anomalies. It is also shown that for supersymmetric gauge theories in higher dimensions with a compact connected simple gauge group, when the local anomaly-free condition is satisfied, there can be at most a possible Z2 global gauge anomaly in extended supersymmetric SO(10) (or spin (10)) gauge theories in D=10 dimensions containing additional Weyl fermions in a spinor representation of SO(10) (or spin (10)). In four dimensions with local anomaly-free condition satisfied, the only possible global gauge anomalies in supersymmetric gauge theories are Z2 global gauge anomalies for extended supersymmetric SP(2N) (N=rank) gauge theories containing additional Weyl fermions in a representation of SP(2N) with an odd 2nd-order Dynkin index. (orig.)
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ALGEBRAIC CURRENTS, FERMIONS, FOUR-DIMENSIONAL CALCULATIONS, GAUGE INVARIANCE, IRREDUCIBLE REPRESENTATIONS, LAGRANGIAN FIELD THEORY, LOCALITY, MANY-DIMENSIONAL CALCULATIONS, PARTICLE MULTIPLETS, PERTURBATION THEORY, QUANTUM ELECTRODYNAMICS, SO-10 GROUPS, SP GROUPS, SPINORS, SUPERSYMMETRY, SYMMETRY BREAKING, U-1 GROUPS, UNIFIED GAUGE MODELS, WEYL UNIFIED THEORY
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