One loop tests of higher spin AdS/CFT
By S. Giombi, I. Klebanov. 2013
192 citations recorded by the source corpus.
A bstractVasiliev’s type A higher spin theories in AdS4 have been conjectured to be dual to the U(N) or O(N) singlet sectors in 3-d conformal field theories with N-component scalar fields. We compare the $ \mathcal{O} $(N0) correction to the 3-sphere free energy F in the CFTs with corresponding calculations in the higher spin theories. This requires evaluating a regularized sum over one loop vacuum energies of an infinite set of massless higher spin gauge fields in Euclidean AdS4. For the Vasiliev theory including fields of all integer spin and a scalar with Δ = 1 boundary condition, we show that the regularized sum vanishes. This is in perfect agreement with the vanishing of subleading corrections to F in the U(N) singlet sector of the theory of N free complex scalar fields. For the minimal Vasiliev theory including fields of only even spin, the regularized sum remarkably equals the value of F for one free real scalar field. This result may agree with the O(N) singlet sector of the theory of N real scalar fields, provided the coupling constant in the Vasiliev theory is identified as GN ~ 1/(N − 1). Similarly, consideration of the USp(N) singlet sector for N complex scalar fields, which we conjecture to be dual to the husp(2; 0|4) Vasiliev theory, requires GN ~ 1/(N + 1). We also test the higher spin AdS3/CFT2 conjectures by calculating the regularized sum over one loop vacuum energies of higher spin fields in AdS3. We match the esult with the $ \mathcal{O} $(N0) term in the central charge of the WN minimal models; this requires a certain truncation of the CFT operator spectrum so that the bulk theory contains two real scalar fields with the same boundary conditions.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/52b403e7050a0a8d3ed3be8dcb2f6c13bca90da9
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In Astronomy and Astrophysics
- C. Sleight
- Dmitry Ponomarev
- Eric Perlmutter
- Johanna Erdmenger
- X. Bekaert
- David Simmons-Duffin
- M. Gaberdiel
- M. Ammon
In Nuclear and High Energy Physics
- C. Sleight
- Dmitry Ponomarev
- Eric Perlmutter
- Johanna Erdmenger
- X. Bekaert
- E. Pajer
- M. Gaberdiel
- David Simmons-Duffin
Citations in the corpus
- Bounding the space of holographic CFTs with chaos (2016, background): “This ensures the consistency of the bulk 1-loop free energy with the O(N) CFT central charge [107].”
- Higher spins in AdS5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT (2014, unknown): “Remarkably, it is still possible [2] to perform non-trivial next-order checks: as O(N0) term in logZCFT is absent in the free theory case, the one-loop contribution to lnZHS should vanish too.”
- Quartic AdS interactions in higher-spin gravity from Conformal Field Theory (2015, methodology): “This duality has been verified at tree level for 3-point Witten diagrams in AdS4 [43–45] (see also [46, 47] for an early test), and at the level of one-loop vacuum energy [48–51].”
- Loops in AdS from conformal field theory (2016, unknown): “[28–33]).”