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TMF, 2000, Volume 123, Number 2, Pages 323–344 (Mi tmf607)  

This article is cited in 55 scientific papers (total in 55 papers)

Scalar field in an arbitrary dimension from the standpoint of higher-spin gauge theory

M. A. Vasiliev, O. V. Sheinkman

P. N. Lebedev Physical Institute, Russian Academy of Sciences

Abstract: We formulate the equations of motion of a free scalar field in the flat and AdS spaces of arbitrary dimension in the form of “higher-spin” covariant constancy conditions. The Klein–Gordon equation describes a nontrivial cohomology of a certain “$\sigma_-$-complex”. The action principle for a scalar field is formulated in terms of the “higher-spin” covariant derivatives for an arbitrary mass in AdS$_d$ and for a nonzero mass in the flat space. The free-field part of the constructed action coincides with the standard first-order Klein–Gordon action, but the interaction part is different because of the presence of an infinite set of auxiliary fields, which do not contribute at the free level. We consider the example of Yang–Mills current interaction and show how the proposed action generates the pseudolocally exact form of the matter currents in AdS$_d$.


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Theoretical and Mathematical Physics, 2000, 123:2, 683–700

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Citation: M. A. Vasiliev, O. V. Sheinkman, “Scalar field in an arbitrary dimension from the standpoint of higher-spin gauge theory”, TMF, 123:2 (2000), 323–344; Theoret. and Math. Phys., 123:2 (2000), 683–700

Citation in format AMSBIB
\by M.~A.~Vasiliev, O.~V.~Sheinkman
\paper Scalar field in an arbitrary dimension from the standpoint of higher-spin gauge theory
\jour TMF
\yr 2000
\vol 123
\issue 2
\pages 323--344
\jour Theoret. and Math. Phys.
\yr 2000
\vol 123
\issue 2
\pages 683--700

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    This publication is cited in the following articles:
    1. Vasiliev, MA, “Cubic interactions of bosonic higher spin gauge fields in AdS(5)”, Nuclear Physics B, 616:1–2 (2001), 106  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
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    6. Vasiliev, MA, “Higher spin gauge theories in various dimensions”, Fortschritte der Physik-Progress of Physics, 52:6–7 (2004), 702  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
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