Even spin 


                                    
N
=
4


$$ \mathcal{N}=4 $$
 holography

Ferreira, Kevin

doi:10.1007/jhep09(2017)110

Cited by 10 publications

(20 citation statements)

References 52 publications

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“…In order to describe this free field realisation we consider KN complex bosons and LN complex fermions, where the bosons sit in the representation (N,K) ⊕ (N, K) of the algebra u(K) ⊕ u(N ), and similarly for the fermions. (This is the natural generalisation of similar constructions that were considered before, see in particular [8,[23][24][25][26].) We then consider the u(N )-invariant combinations of these fields; as is familiar from these older constructions, see in particular [22], the generators of the symmetry algebra consist entirely of the bilinears in the free fields.…”

Section: The Free Field Constructionmentioning

confidence: 98%

See 1 more Smart Citation

Higher spin algebras and large $$ \mathcal{N} $$ = 4 holography

Eberhardt¹,

Gaberdiel²,

Rienäcker³

2018

J. High Energ. Phys.

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Section: The Free Field Constructionmentioning

confidence: 98%

“…It is also not difficult to check, using character arguments, see e.g. [22,26], that the spin spectrum of the coset algebra agrees precisely with that of sW ∞ (K|L)[λ].…”

Section: Coset Constructionsmentioning

confidence: 99%

Higher spin algebras and large $$ \mathcal{N} $$ = 4 holography

Eberhardt¹,

Gaberdiel²,

Rienäcker³

2018

J. High Energ. Phys.

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“…It is interesting to identify counterparts of orientifold projections in other "stringy" HS AdS/CFT correpondences [92][93][94]. One of important open problems is to link Vasiliev theory to string theory more directly.…”

Section: Jhep11(2017)190mentioning

confidence: 99%

ABJ quadrality

Honda

Pang

Zhu

2017

J. High Energ. Phys.

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Abstract:We study physical consequences of adding orientifolds to the ABJ triality, which is among 3d N = 6 superconformal Chern-Simons theory known as ABJ theory, type IIA string in AdS 4 × CP 3 and N = 6 supersymmetric (SUSY) Vasiliev higher spin theory in AdS 4 . After adding the orientifolds, it is known that the gauge group of the ABJ theory becomes O(N 1 ) × USp(2N 2 ) while the background of the string theory is replaced by AdS 4 × CP 3 /Z 2 , and the supersymmetries in the both theories reduce to N = 5. We propose that adding the orientifolds to the N = 6 Vasiliev theory leads to N = 5 SUSY Vasiliev theory. It turns out that the N = 5 case is more involved because there are two formulations of the N = 5 Vasiliev theory with either O or USp internal symmetry. We show that the two N = 5 Vasiliev theories can be understood as certain projections of the N = 6 Vasiliev theory, which we identify with the orientifold projections in the Vasiliev theory. We conjecture that the O(N 1 ) × USp(2N 2 ) ABJ theory has the two vector model like limits: N 2 ≫ N 1 and N 1 ≫ N 2 which correspond to the semi-classical N = 5 Vasiliev theories with O(N 1 ) and USp(2N 2 ) internal symmetries respectively. These correspondences together with the standard AdS/CFT correspondence comprise the ABJ quadrality among the N = 5 ABJ theory, string/M-theory and two N = 5 Vasliev theories. We provide a precise holographic dictionary for the correspondences by comparing correlation functions of stress tensor and flavor currents. Our conjecture is supported by various evidence such as agreements of the spectra, one-loop free energies and SUSY enhancement on the both sides. We also predict the leading free energy of the N = 5 Vasiliev theory from the CFT side. As a byproduct, we give a derivation of the relation between the parity violating phase in the N = 6 Vasiliev theory and the parameters in the N = 6 ABJ theory, which was conjectured in [1].

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“…Recently, the other type of large N = 4 holography is studied in [60]. It is an open problem to study this holography in the context of N = 4 coset model.…”

Section: Discussionmentioning

confidence: 99%