Supergravity one-loop corrections on AdS 7 and AdS 3 , higher spins and AdS/CFT

Beccaria, Matteo; Macorini, Guido; Tseytlin, Arkady A.

doi:10.1016/j.nuclphysb.2015.01.014

Cited by 50 publications

(131 citation statements)

References 76 publications

(273 reference statements)

Supporting

Mentioning

120

Contrasting

Order By: Relevance

“…There might be order one corrections to this formula, as for the Brown-Henneaux central charge on AdS 3 × S 3 × K3 [15,16].…”

Section: Fluxes and Chargesmentioning

confidence: 99%

See 1 more Smart Citation

$$ \mathcal{N}=\left(3,3\right) $$ holography on AdS3 × (S3 × S3 × S1)/ℤ2

Eberhardt

Zadeh

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider string theory on AdS 3 × (S 3 × S 3 × S 1 )/Z 2 , a background supporting N = (3, 3) spacetime supersymmetry. We propose that string theory on this background is dual to the symmetric product orbifold of S 0 /Z 2 where S 0 is a theory of four free fermions and one free boson. We show that the BPS spectra of the two sides of the duality match precisely. Furthermore, we compute the elliptic genus of the dual CFT and that of the supergravity limit of string theory and demonstrate that they match, hence providing non-trivial support for the holographic proposal.

show abstract

“…There might be order one corrections to this formula, as for the Brown-Henneaux central charge on AdS 3 × S 3 × K3 [15,16].…”

Section: Fluxes and Chargesmentioning

confidence: 99%

“…16 Also two of the su(2)-charged fermions are orbifolded, namely χ +,± − χ −,± . The other two fermions χ +,± + χ −,± are invariant.…”

Section: Jhep07(2018)143mentioning

confidence: 99%

$$ \mathcal{N}=\left(3,3\right) $$ holography on AdS3 × (S3 × S3 × S1)/ℤ2

Eberhardt

Zadeh

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Integrating out ρ, one obtains 22) which coincides with one loop free energy for hu(m; n|4) higher spin theory (5.15). Next, we study the O(N ) singlet sector of a free CFT with N m real free scalars and N n Majorana fermions.…”

Section: The Cft Side and Comparisonmentioning

confidence: 73%

“…It is straightforward to check that 22) which indicates that the total one loop free energy of fermionic HS fields in fact vanishes.…”

Section: Fermionsmentioning

confidence: 99%

See 1 more Smart Citation

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

Conformal anomaly c-coefficients of superconformal 6d theories

Beccaria

Tseytlin

2016

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We propose general relations between the conformal anomaly and the chiral (R-symmetry and gravitational) anomaly coefficients in 6d (1, 0) superconformal theories. The suggested expressions for the three type B conformal anomaly ci-coefficients complement the expression for the type A anomaly a-coefficient found in arXiv:1506.03807. We check them on several examples — the standard (1, 0) hyper and tensor multiplets as well as some higher derivative short multiplets containing vector fields that generalize the super-conformal 6d vector multiplet discussed in arXiv:1506.08727. We also consider a family of higher derivative superconformal (2, 0) 6d multiplets associated to 7d multiplets in the KK spectrum of 11d supergravity compactified on S4. In particular, we prove that (2,0) 6d conformal supergravity coupled to 26 tensor multiplets is free of all chiral and conformal anomalies. We discuss some interacting (1, 0) superconformal theories, predicting the ci-coefficients for the “E-string” theory on multiple M5-branes at E8 9-brane and for the theory describing M5-branes at an orbifold singularity C2/ΓC2/Γ . Finally, we elaborate on holographic computation of subleading corrections to conformal anomaly coefficients coming from R2 + R3 terms in 7d effective action, revisiting, in particular, the (2,0) theory case

show abstract

Supergravity one-loop corrections on AdS 7 and AdS 3 , higher spins and AdS/CFT

Cited by 50 publications

References 76 publications

$$ \mathcal{N}=\left(3,3\right) $$ holography on AdS3 × (S3 × S3 × S1)/ℤ2

$$ \mathcal{N}=\left(3,3\right) $$ holography on AdS3 × (S3 × S3 × S1)/ℤ2

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

Conformal anomaly c-coefficients of superconformal 6d theories

Contact Info

Product

Resources

About