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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 181, Number 3, Pages 495–514
DOI: https://doi.org/10.4213/tmf8759
(Mi tmf8759)
 

This article is cited in 19 scientific papers (total in 19 papers)

The BRST-invariant effective action of shadows, conformal fields, and the AdS/CFT correspondence

R. R. Metsaev

Lebedev Physical Institute, RAS, Moscow, Russia
References:
Abstract: We study the completely symmetric, arbitrary-spin, massless and massive fields propagating in anti-de Sitter space. Using the de Donder-type gauge for such fields, we obtain a Lagrangian invariant under the global BRST transformations. We use this Lagrangian to calculate the vacuum partition function and the effective action. We show that the effective action calculated for the nonnormalizable solution of the field equations of motion with the Dirichlet boundary value problem coincides with the BRST-invariant effective action of a shadow. In the case of massless fields, the logarithmic divergence of the effective action results in a simple expression for the BRST-invariant Lagrangian of an arbitrary-spin conformal field. We show that the Nakanishi–Lautrup fields appearing in the BRST-invariant action of conformal fields can be interpreted geometrically as the boundary values of massless fields in anti-de Sitter space.
Keywords: BRST symmetry, conformal field, AdS/CFT-correspondence.
Received: 30.06.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 181, Issue 3, Pages 1548–1565
DOI: https://doi.org/10.1007/s11232-014-0235-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. R. Metsaev, “The BRST-invariant effective action of shadows, conformal fields, and the AdS/CFT correspondence”, TMF, 181:3 (2014), 495–514; Theoret. and Math. Phys., 181:3 (2014), 1548–1565
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8759
  • https://doi.org/10.4213/tmf8759
  • https://www.mathnet.ru/eng/tmf/v181/i3/p495
  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:56
    First page:28
     
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