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

Günaydın, Murat; Skvortsov, Evgeny; Tran, Tung

doi:10.1007/jhep11(2016)168

Cited by 55 publications

(89 citation statements)

References 143 publications

(434 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…First, utilizing the results derived in [33][34][35], one can check that the bulk free energy at one-loop is free of UV divergence [33][34][35]. The coefficient of the log M term also agrees with the expectation from [36], which states that each bulk spin-1 gauge fields obeying the mixed boundary condition contribute to the one loop free energy of the Vasiliev theory by −(1/2) log M .…”

Section: Jhep11(2017)190mentioning

confidence: 51%

“…Hence we regard our result as prediction to the on-shell action of the N = 5 Vasiliev theory in AdS 4 . As mentioned above, the second term agrees with the one-loop free energy of the Vasiliev theory on AdS 4 , which is free of logarithmic divergences [33][34][35] and equal to (−1/2) times the number of bulk spin-1 gauge fields obeying the mixed boundary condition [36]. In section 6, we summarize and discuss possible extensions of this work.…”

Section: Jhep11(2017)190mentioning

confidence: 61%

See 1 more Smart Citation

ABJ quadrality

Honda

Pang

Zhu

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

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].

show abstract

Section: Jhep11(2017)190mentioning

confidence: 51%

Section: Jhep11(2017)190mentioning

confidence: 61%

ABJ quadrality

Honda

Pang

Zhu

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Obviously, the two approaches -through the universal enveloping algebra and the quasi-conformal realization -are applicable to all other higher spin gravities, both known and yet to be constructed. Some examples of interest include the 5d supersymmetric theories, the 7d higher spin gravities [66], and the 6d exceptional higher spin gravity based on the F (4) superalgebra [67].…”

Section: Discussionmentioning

confidence: 99%

Towards massless sector of tensionless strings on AdS5

2020

Self Cite

View full text Add to dashboard Cite

A Formal Higher Spin Gravity in five dimensions is constructed. It was shown recently that constructing formally consistent classical equations of motion of higher spin gravities is equivalent to finding a certain deformation of a given higher spin algebra. A strong homotopy algebra encoding the interaction vertices then follows.We propose two different and novel realizations of the deformed higher spin algebra in the case of five dimensions: one in terms of the universal enveloping algebra of su(2, 2) and the other by means of oscillator variables. Both the new realizations are amenable to supersymmetric extensions and the N = 8 case underlies the massless sector of tensionless strings.

show abstract

“…The only quantum effects in anti-de Sitter higher spin gravities that have been wellexplored up to date require a free action: these are based on the computation of the one-loop free energy corrections started in [25] and elaborated further in [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. These results are very important for the present paper.…”

Section: Introductionmentioning

confidence: 99%

On one loop corrections in higher spin gravity

Ponomarev

Sezgin

Skvortsov

2019

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We propose an approach to compute one-loop corrections to the four-point amplitude in the higher spin gravities that are holographically dual to free O(N ), U (N ) and U Sp(N ) vector models. We compute the double-particle cut of one-loop diagrams by expressing them in terms of tree level four-point amplitudes. We then discuss how the remaining contributions to the complete one-loop diagram can be computed. With certain assumptions we find nontrivial evidence for the shift in the identification of the bulk coupling constant and 1/N in accordance with the previously established result for the vacuum energy.

show abstract

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

Cited by 55 publications

References 143 publications

ABJ quadrality

ABJ quadrality

Towards massless sector of tensionless strings on AdS5

On one loop corrections in higher spin gravity

Contact Info

Product

Resources

About