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- Title
The BRST-BV approach to massless fields adapted for the AdS/CFT correspondence.
- Authors
Metsaev, R.
- Abstract
In the framework of the BRST-BV approach to the formulation of relativistic mechanics, we consider massless and massive fields of arbitrary spin propagating in a flat space and massless fields propagating in the AdS space. For such fields, we obtain BRST-BV Lagrangians invariant under gauge transformations. The Lagrangians and gauge transformations are constructed in terms of traceless gauge fields and traceless parameters of the gauge transformations. We consider the fields in the AdS space using the Poincaré parameterization of this space, which leads to a simple form of the BRST-BV Lagrangian. We show that in the Siegel gauge, the Lagrangian of the massless AdS fields leads to a decoupling of the equations of motion, and this substantially simplifies the study of the AdS/CFT correspondence. In a conformal algebra basis, we find a realization of the relativistic symmetries of fields and antifields in the AdS space.
- Subjects
FIELD theory (Physics); CORRESPONDENCE principle (Quantum mechanics); RELATIVISTIC mechanics; GAUGE invariance; LAGRANGIAN functions; GAUGE field theory; POINCARE invariance
- Publication
Theoretical & Mathematical Physics, 2016, Vol 187, Issue 2, p730
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577916050093