ABJ theory in the higher spin limit

Hirano, Shinji; Honda, Masazumi; Shigemori, Masaki

doi:10.1007/jhep08(2016)174

Cited by 17 publications

(39 citation statements)

References 149 publications

(246 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This problem appears also in CS matter theory coupled to fundamental matters [14,22]. and the N = 6 ABJ theory [24]. We propose that the free energy which should be compared to the one in Vasiliev theory is and O(M ) CS theories coupled to N fundamental scalars or fermions at fixed points.…”

Section: Jhep11(2017)190mentioning

confidence: 89%

“…Therefore the ABJ theory has apparently more degrees of freedom than the Vasiliev theory and we have to subtract some degrees of freedom appropriately for the comparison. This issue was addressed in [24], which proposed the definition of the free energy for ABJ theory in the vector limit as …”

Section: Jhep11(2017)190mentioning

confidence: 99%

“…Namely the free energy in the ABJ theory behaves as O(M 2 ) rather than O(M ), due to the vector multiplet associated with the "larger gauge group". Therefore we have to subtract something appropriately as in the N = 6 case [24]. In the end, we propose 23 For general (k, M, N ), more appropriate definitions of t are…”

Section: N = 5 Casementioning

confidence: 99%

See 2 more Smart Citations

ABJ quadrality

Honda

Pang

Zhu

2017

J. High Energ. Phys.

Self Cite

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: 89%

Section: Jhep11(2017)190mentioning

confidence: 99%

See 1 more Smart Citation

ABJ quadrality

Honda

Pang

Zhu

2017

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Therefore, the puzzle of free energy mismatch in type B remains unresolved and its solution requires deeper understanding of HS/vector model holography. In this context, it has been suggested by [33] and explored further in [34] that the vector-like limit of ABJ model based on…”

Section: Discussionmentioning

confidence: 99%

“…The bulk one loop free energy is then compared with the free energy of ABJ theory in the vector-like limit (7.1), and with the free energy of pure U (M ) CS subtracted. Matching of the log N terms present in the free energies on both sides leads to the identification [34] …”

Section: Discussionmentioning

confidence: 99%

One-loop tests of the supersymmetric higher spin AdS4/CFT3 correspondence

2017

View full text Add to dashboard Cite

We compute one loop free energy for D = 4 Vasiliev higher spin gravities based on Konstein-Vasiliev algebras hu(m; n|4), ho(m; n|4) or husp(m; n|4) and subject to higher spin preserving boundary conditions, which are conjectured to be dual to the U (N ), O(N ) or U Sp(N ) singlet sectors, respectively, of free CFTs on the boundary of AdS 4 . Ordinary supersymmetric higher spin theories appear as special cases of Konstein-Vasiliev theories, when the corresponding higher spin algebra contains OSp(N |4) as subalgebra. In AdS 4 with S 3 boundary, we use a modified spectral zeta function method, which avoids the ambiguity arising from summing over infinite number of spins. We find that the contribution of the infinite tower of bulk fermions vanishes. As a result, the free energy is the sum of those which arise in type A and type B models with internal symmetries, the known mismatch between the bulk and boundary free energies for type B model persists, and ordinary supersymmetric higher spin theories exhibit the mismatch as well. The only models that have a match are type A models with internal symmetries, corresponding to n = 0. The matching requires identification of the inverse Newton's constant G −1 N with N plus a proper integer as was found previously for special cases. In AdS 4 with S 1 × S 2 boundary, the bulk one loop free energies match those of the dual free CFTs for arbitrary m and n. We also show that a supersymmetric double-trace deformation of free CFT based on OSp(1|4) does not contribute to the O(N 0 ) free energy, as expected from the bulk.arXiv:1608.07298v1 [hep-th]

show abstract

Partially massless higher-spin theory II: one-loop effective actions

Brust

Hinterbichler

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

We continue our study of a generalization of the D-dimensional linearized Vasiliev higher-spin equations to include a tower of partially massless (PM) fields. We compute one-loop effective actions by evaluating zeta functions for both the "minimal" and "non-minimal" parity-even versions of the theory. Specifically, we compute the logdivergent part of the effective action in odd-dimensional Euclidean AdS spaces for D = 7 through 19 (dual to the a-type conformal anomaly of the dual boundary theory), and the finite part of the effective action in even-dimensional Euclidean AdS spaces for D = 4 through 8 (dual to the free energy on a sphere of the dual boundary theory). We pay special attention to the case D = 4, where module mixings occur in the dual field theory and subtlety arises in the one-loop computation. The results provide evidence that the theory is UV complete and one-loop exact, and we conjecture and provide evidence for a map between the inverse Newton's constant of the partially massless higher-spin theory and the number of colors in the dual CFT.

show abstract

ABJ theory in the higher spin limit

Cited by 17 publications

References 149 publications

ABJ quadrality

ABJ quadrality

One-loop tests of the supersymmetric higher spin AdS4/CFT3 correspondence

Partially massless higher-spin theory II: one-loop effective actions

Contact Info

Product

Resources

About