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The ABC of Higher-Spin AdS/CFT

Author(s): Giombi, Simone; Klebanov, Igor; Tan, Zhong

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Abstract: <jats:p>In recent literature, one-loop tests of the higher-spin AdS d + 1 /CFT d correspondences were carried out. Here, we extend these results to a more general set of theories in d > 2 . First, we consider the Type B higher spin theories, which have been conjectured to be dual to CFTs consisting of the singlet sector of N free fermion fields. In addition to the case of N Dirac fermions, we carefully study the projections to Weyl, Majorana, symplectic and Majorana–Weyl fermions in the dimensions where they exist. Second, we explore theories involving elements of both Type A and Type B theories, which we call Type AB. Their spectrum includes fields of every half-integer spin, and they are expected to be related to the U ( N ) / O ( N ) singlet sector of the CFT of N free complex/real scalar and fermionic fields. Finally, we explore the Type C theories, which have been conjectured to be dual to the CFTs of p-form gauge fields, where p = d 2 − 1 . In most cases, we find that the free energies at O ( N 0 ) either vanish or give contributions proportional to the free-energy of a single free field in the conjectured dual CFT. Interpreting these non-vanishing values as shifts of the bulk coupling constant G N ∼ 1 / ( N − k ) , we find the values k = − 1 , − 1 / 2 , 0 , 1 / 2 , 1 , 2 . Exceptions to this rule are the Type B and AB theories in odd d; for them, we find a mismatch between the bulk and boundary free energies that has a simple structure, but does not follow from a simple shift of the bulk coupling constant.</jats:p>
Publication Date: 19-Jan-2018
Electronic Publication Date: 19-Jan-2018
Citation: Giombi, Simone, Klebanov, Igor, Tan, Zhong. (The ABC of Higher-Spin AdS/CFT. Universe, 4 (1), 18 - 18. doi:10.3390/universe4010018
DOI: doi:10.3390/universe4010018
EISSN: 2218-1997
Keywords: AdS/CFT correspondence; Higher-Spin Symmetry; 1/N expansion
Pages: 18 - 18
Language: en
Type of Material: Journal Article
Journal/Proceeding Title: Universe
Version: Author's manuscript

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