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Higher spin AdS(d+1)/CFTd at one loop

Author(s): Giombi, Simone; Klebanov, Igor R; Safdi, Benjamin R

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dc.contributor.authorGiombi, Simone-
dc.contributor.authorKlebanov, Igor R-
dc.contributor.authorSafdi, Benjamin R-
dc.date.accessioned2017-11-21T19:41:17Z-
dc.date.available2017-11-21T19:41:17Z-
dc.date.issued2014-04-15en_US
dc.identifier.citationGiombi, Simone, Klebanov, Igor R, Safdi, Benjamin R. (2014). Higher spin AdS(d+1)/CFTd at one loop. PHYSICAL REVIEW D, 89 (10.1103/PhysRevD.89.084004en_US
dc.identifier.issn1550-7998-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1107z-
dc.description.abstractFollowing S. Giombi and I. R. Klebanov, [J. High Energy Phys. 12 (2013) 068], we carry out one-loop tests of higher spin AdS(d+1)/CFTd correspondences for d >= 2. The Vasiliev theories in AdS(d+1), which contain each integer spin once, are related to the U(N) singlet sector of the d-dimensional CFT of N free complex scalar fields; the minimal theories containing each even spin once-to the O(N) singlet sector of the CFT of N free real scalar fields. Using analytic continuation of higher spin zeta functions, which naturally regulate the spin sums, we calculate one-loop vacuum energies in Euclidean AdS(d+1). In even d we compare the result with the O(N-0) correction to the a coefficient of the Weyl anomaly; in odd d-with the O(N-0) correction to the free energy F on the d-dimensional sphere. For the theories of integer spins, the correction vanishes in agreement with the CFT of N free complex scalars. For the minimal theories, the correction always equals the contribution of one real conformal scalar field in d dimensions. As explained in Giombi and Klebanov, this result may agree with the O(N) singlet sector of the theory of N real scalar fields, provided the coupling constant in the higher spin theory is identified as G(N) similar to 1/(N - 1). Our calculations in even d are closely related to finding the regularized a anomalies of conformal higher spin theories. In each even d we identify two such theories with vanishing a anomaly: a theory of all integer spins, and a theory of all even spins coupled to a complex conformal scalar. We also discuss an interacting UV fixed point in d = 5 obtained from the free scalar theory via an irrelevant double-trace quartic interaction. This interacting large N theory is dual to the Vasiliev theory in AdS(6) where the bulk scalar is quantized with the alternate boundary condition.en_US
dc.language.isoenen_US
dc.relation.ispartofPHYSICAL REVIEW Den_US
dc.rightsFinal published version. This is an open access article.en_US
dc.titleHigher spin AdS(d+1)/CFTd at one loopen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevD.89.084004-
dc.date.eissued2014-04-01en_US
dc.identifier.eissn1550-2368-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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