TY - JOUR

T1 - Exceptional F (4) higher-spin theory in AdS6 at one-loop and other tests of duality

AU - Günaydin, Murat

AU - Skvortsov, Evgeny

AU - Tran, Tung

N1 - Publisher Copyright:
© 2016, The Author(s).

PY - 2016/11/1

Y1 - 2016/11/1

N2 - We study the higher-spin gauge theory in six-dimensional anti-de Sitter space AdS6 that is based on the exceptional Lie superalgebra F (4). The relevant higher-spin algebra was constructed in arXiv:1409.2185. We determine the spectrum of the theory and show that it contains the physical fields of the Romans F (4) gauged supergravity. The full spectrum consists of an infinite tower of unitary supermultiplets of F (4) which extend the Romans multiplet to higher spins plus a single short supermultiplet. Motivated by applications to this novel supersymmetric higher-spin theory as well as to other theories, we extend the known one-loop tests of AdS/CFT duality in various directions. The spectral zeta-function is derived for the most general case of fermionic and mixed-symmetry fields, which allows one to test the Type-A and B theories and supersymmetric extensions thereof in any dimension. We also study higher-spin doubletons and partially-massless fields. While most of the tests are successfully passed, the Type-B theory in all even dimensional anti-de Sitter spacetimes presents an interesting puzzle: the free energy as computed from the bulk is not equal to that of the free fermion on the CFT side, though there is some systematics to the discrepancy.

AB - We study the higher-spin gauge theory in six-dimensional anti-de Sitter space AdS6 that is based on the exceptional Lie superalgebra F (4). The relevant higher-spin algebra was constructed in arXiv:1409.2185. We determine the spectrum of the theory and show that it contains the physical fields of the Romans F (4) gauged supergravity. The full spectrum consists of an infinite tower of unitary supermultiplets of F (4) which extend the Romans multiplet to higher spins plus a single short supermultiplet. Motivated by applications to this novel supersymmetric higher-spin theory as well as to other theories, we extend the known one-loop tests of AdS/CFT duality in various directions. The spectral zeta-function is derived for the most general case of fermionic and mixed-symmetry fields, which allows one to test the Type-A and B theories and supersymmetric extensions thereof in any dimension. We also study higher-spin doubletons and partially-massless fields. While most of the tests are successfully passed, the Type-B theory in all even dimensional anti-de Sitter spacetimes presents an interesting puzzle: the free energy as computed from the bulk is not equal to that of the free fermion on the CFT side, though there is some systematics to the discrepancy.

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U2 - 10.1007/JHEP11(2016)168

DO - 10.1007/JHEP11(2016)168

M3 - Article

AN - SCOPUS:85001943968

VL - 2016

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 11

M1 - 168

ER -