This article is cited in 4 papers

The BRST-BV approach to massless fields adapted for the AdS/CFT correspondence

R. R. Metsaev

Lebedev Physical Institute, RAS, Moscow, Russia

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.

Keywords: BRST symmetry, higher-spin field, AdS/CFT correspondence.

Received: 24.08.2015

DOI: 10.4213/tmf9030

 English version: Theoretical and Mathematical Physics, 2016, 187:2, 730–742

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