Abstract
A duality between the large N 't Hooft limit of the WD_N minimal model CFTs and a higher spin gravity theory on AdS3 is proposed. The gravity theory has massless spin fields of all even spins s=2,4,6,..., as well as two real scalar fields whose mass is determined by the 't Hooft parameter of the CFT. We show that, to leading order in the large N limit, the 1-loop partition function of the higher spin theory matches precisely with the CFT partition function.
Highlights
A duality between the large N ’t Hooft limit of the WDN minimal model CFTs and a higher spin gravity theory on AdS3 is proposed
To leading order in the large N limit, the 1-loop partition function of the higher spin theory matches precisely with the CFT partition function
The large N limit is taken while holding the ’t Hooft coupling λ fixed, where λ is to be identified with the parameter appearing in the commutation relations of the higher spin algebra
Summary
Using the techniques of [24] the contribution of a massless spin s field to the 1-loop partition function on thermal AdS3 was found to be [23]. Combining the contributions from the fields of even spin s = 2, 4, 6, . . ., the higher spin part of the 1-loop partition function equals. The contribution of a real scalar field to the 1-loop partition function was determined in [25] (see [24]) to be. For h = h± as in (1.2) it was shown in [19] that the scalar 1-loop partition function can be written as. In the following we want to reproduce this partition function from the ’t Hooft limit of the coset CFTs (1.5)
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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.
