Matter coupled \(F(4)\) supergravity and the \(\text{AdS}_6/\text{CFT}_5\) correspondence

DOI10.1088/1126-6708/2000/10/013zbMATH Open0959.83059arXivhep-th/0006107OpenAlexW2162684659WikidataQ56973021 ScholiaQ56973021MaRDI QIDQ5928803

Author name not available (Why is that?)

Publication date: 4 April 2001

Published in: (Search for Journal in Brave)

Abstract: F(4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold

S O (4, n) / S O (4) i m e s S O (n)

. By gauging the compact subgroup

S U (2)_{d} o t i m e s c G

, where SU(2)_d is the diagonal subgroup of

S O (4) s i m e q S U (2)_{L} o t i m e s S U (2)_{R}

(the R-symmetry group of six-dimensional Poincar'e supergravity) and

c G

is a compact group such that

d i m c G = n

, we compute the scalar potential which, besides the gauge coupling constants, also depends in non trivial way on the parameter m associated to a massive 2-form

B_{m u u}

of the gravitational multiplet. The potential admits an AdS background for g=3m, as the pure F(4)-supergravity. We compute the scalar squared masses (which are all negative) and retrieve the results dictated by AdS_6/CFT_5 correspondence from the conformal dimensions of boundary operators. The boundary F(4) superconformal fields are realized in terms of a singleton superfield (hypermultiplet) in harmonic superspace with flag manifold SU(2)/U(1)=S^2. We analize the spectrum of short representations in terms of superconformal primaries and predict general features of the K-K specrum of massive type IIA supergravity compactified on warped

A d S_{6} o t i m e s S^{4}

.

Full work available at URL: https://arxiv.org/abs/hep-th/0006107

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