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Anti-Higgs effect in two-dimensional gauge theories. (English) Zbl 0645.53066
Two-dimensional gravitational and vector gauge theories obtained by reduction of $$D=3$$ topologically massive ones exhibit an ‘anti-Higgs’ effect: the gauge fields are absorbed by their massless scalar or spinor partners which thereby acquire a mass. The analysis of the supersymmetric vector model is also carried out in superspace, where it is shown that it can be correspondingly formulated in terms of pseudoscalar (rather than spinor) superfield strengths. Its first-order formulation is used to derive the self-interaction by a Noether procedure from the Abelian action directly in superspace. The scalar superfield is also used to construct other $$\sigma$$-model-like nonlinear actions.

##### MSC:
 53C80 Applications of global differential geometry to the sciences 81T60 Supersymmetric field theories in quantum mechanics 83E15 Kaluza-Klein and other higher-dimensional theories
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