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

• Main Authors: Shai M. Chester, Eric Perlmutter
• Format: Article
• Language: English
• Published: SpringerOpen 2018-08-01
• Series: Journal of High Energy Physics
• Subjects: AdS-CFT Correspondence; Conformal and W Symmetry; M-Theory
• Online Access: http://link.springer.com/article/10.1007/JHEP08(2018)116

Abstract 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 WN $$ {\mathcal{W}}_N $$ algebra and the A N −1 (2, 0) CFT. We further explain how the 1/N expansion of WN $$ {\mathcal{W}}_N $$ structure constants exhibits the structure of protected vertices in the M-theory action. Conversely, our results provide strong evidence for the chiral algebra conjecture.