Abstract
The partition function of the W_N minimal model CFT is computed in the large N 't Hooft limit and compared to the spectrum of the proposed holographic dual, a 3d higher spin gravity theory coupled to massive scalar fields. At finite N, the CFT contains additional light states that are not visible in the perturbative gravity theory. We carefully define the large N limit, and give evidence that, at N = infinity, the additional states become null and decouple from all correlation functions. The surviving states are shown to match precisely (for all values of the 't Hooft coupling) with the spectrum of the higher spin gravity theory. The agreement between bulk and boundary is partially explained by symmetry considerations involving the conjectured equivalence between the W_N algebra in the large N limit and the higher spin algebra of the Vasiliev theory.
Highlights
It is rare to find an example of a holographic duality where we can compute physical quantities on both sides at the same point in parameter space
The partition function of the WN minimal model CFT is computed in the large N ’t Hooft limit and compared to the spectrum of the proposed holographic dual, a 3d higher spin gravity theory coupled to massive scalar fields
As described in the introduction, we will match the spectrum of quadratic fluctuations in the higher spin theory on AdS3 with the corresponding answer from the CFT side to leading order in the large N ’t Hooft limit
Summary
It is rare to find an example of a holographic duality where we can compute physical quantities on both sides at the same point in parameter space. The past few years have seen impressive progress beyond this using techniques such as integrability [1] and supersymmetric localization [2] that have allowed us to compute the coupling-constant dependence of some quantities all the way up to strong coupling. These techniques crucially require large N or supersymmetry, and as a consequence some of the most interesting questions about quantum gravity, like the information-loss puzzle, have so far remained out of reach in string realizations of AdS/CFT.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
