Gauging of Nonlinearly Realized Symmetries
arXiv:hep-th/9504160 · doi:10.1016/0550-3213(95)00288-4
Abstract
A representation of a subgroup H of a finite-dimensional group G can be used to induce a nonlinear realization of G. 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 H (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 applied 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.
14 pages, LATEX document
References in corpus (17)
- The Relation between Quantum W algebras and Lie algebras
- Extended N=2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
- Representation theory of finite W algebras
- On the Uniqueness of String Theory
- d\leq1\bigcup d\geq25c\neq3$ Topological Algebra
- from Superstrings
- Note on N=0 string as N=1 string
- A Hierarchy of Superstrings
- On the Universal String Theory
- A W-String Realization of the Bosonic String
- Hamiltonian Reduction and Topological Conformal Algebra in Non-critical Strings
- On the Nonlinear Realization of the Superconformal Symmetry
- Lie Superalgebra and Extended Topological Conformal Symmetry in Non-critical Strings
- The Mechanism behind the Embeddings of String Theories
- The Berkovits-Vafa Construction and Nonlinear Realizations
- A Hierarchy of Super \ Strings
- A Universal w String Theory