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M-theory reconstruction from (2,0) CFT and the chiral algebra conjecture

Chester, Shai M. and Perlmutter, Eric (2018) M-theory reconstruction from (2,0) CFT and the chiral algebra conjecture. Journal of High Energy Physics, 2018 (8). Art. No. 116. ISSN 1126-6708. doi:10.1007/JHEP08(2018)116.

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We study various aspects of the M-theory uplift of the A_(N −1) series of (2, 0) CFTs in 6d, which describe the worldvolume theory of N M5 branes in flat space. We show how knowledge of OPE coefficients and scaling dimensions for this CFT can be directly translated into features of the momentum expansion of M-theory. In particular, we develop the expansion of the four-graviton S-matrix in M-theory via the flat space limit of four-point Mellin amplitudes. This includes correctly reproducing the known contribution of the R^4 term from 6d CFT data. Central to the calculation are the OPE coefficients for half-BPS operators not in the stress tensor multiplet, which we obtain for finite N via the previously conjectured relation [1] between the quantum W_N algebra and the A_(N −1) (2, 0) CFT. We further explain how the 1/Nexpansion of W_N structure constants exhibits the structure of protected vertices in the M-theory action. Conversely, our results provide strong evidence for the chiral algebra conjecture.

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Additional Information:© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: June 9, 2018; Accepted: August 11, 2018; Published: August 21, 2018. We thank Ofer Aharony, Chris Beem, Clay Cordova, Matthias Gaberdiel, Michael B. Green, Ken Intriligator, Silviu Pufu, Leonardo Rastelli, Oliver Schlotterer, Yifan Wang, Xi Yin and Xinan Zhou for useful discussions. We also thank Silviu Pufu and Leonardo Rastelli for comments on the draft. SMC is supported in part by the Simons Foundation Grant No 488651 and the Bershadsky Family Scholarship in Science or Engineering. EP is supported by Simons Foundation grant 488657, and by the Walter Burke Institute for Theoretical Physics.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons Foundation488651
Bershadsky Family ScholarshipUNSPECIFIED
Simons Foundation488657
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Subject Keywords:AdS-CFT Correspondence, Conformal and W Symmetry, M-Theory
Issue or Number:8
Record Number:CaltechAUTHORS:20180823-132311934
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Official Citation:Chester, S.M. & Perlmutter, E. J. High Energ. Phys. (2018) 2018: 116.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89090
Deposited By: Tony Diaz
Deposited On:23 Aug 2018 21:25
Last Modified:16 Nov 2021 00:32

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