Mtheory reconstruction from (2,0) CFT and the chiral algebra conjecture
Abstract
We study various aspects of the Mtheory 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 Mtheory. In particular, we develop the expansion of the fourgraviton Smatrix in Mtheory via the flat space limit of fourpoint 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 halfBPS 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 /N expansion of W_N structure constants exhibits the structure of protected vertices in the Mtheory action. Conversely, our results provide strong evidence for the chiral algebra conjecture.
 Publication:

Journal of High Energy Physics
 Pub Date:
 August 2018
 DOI:
 10.1007/JHEP08(2018)116
 arXiv:
 arXiv:1805.00892
 Bibcode:
 2018JHEP...08..116C
 Keywords:

 AdSCFT Correspondence;
 Conformal and W Symmetry;
 MTheory;
 High Energy Physics  Theory
 EPrint:
 30+18 pages. v2: added refs, fixed typos/notation