Gauging of Nonlinearly Realized Symmetries

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    A representation of a subgroup H of a finite-dimensional group G can be used to induce a nonlinear realization of CI. if the nonlinearly realized symmetry is gauged, then the BRST charge can be related by a similarity transformation to the BRST charge for the gauged linear realization of ii (plus a cohomologically trivial piece). It is shown that the relation between the two BRST charges is a reflection of the fact that they can be interpreted geometrically as expressions for the exterior derivative on G relative to two different bases, and an explicit expression for the generator of the similarity transformation is obtained, This result is used in an infinite-dimensional setting, where it yields the similarity transformation used by Ishikawa and Kato to prove the equivalence of the Berkovits-Vafa superstring with the underlying bosonic string theory.
    Original languageEnglish
    Pages (from-to)456-468
    JournalNuclear Physics B
    Publication statusPublished - 1995


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