Abstract
We analyze the four-point function of stress-tensor multiplets for the 6d quantum field theory with OSp(8∗|4) symmetry which is conjectured to be dual to M-theory on AdS7 × S4, and deduce the leading correction to the tree-level supergravity prediction by obtaining a solution of the crossing equations in the large-N limit with the superconformal partial wave expansion truncated to operators with zero spin. This correction corresponds to the M-theoretic analogue of ℛ4 corrections in string theory. We also find solutions corresponding to higher-spin truncations, but they are subleading compared to the 1-loop supergravity prediction, which has yet to be calculated.
Highlights
JHEP02(2018)004 symmetric traceless representation (14) of the R-symmetry group SO(5) ∼ Sp(4), whose supergravity dual is a scalar in the graviton multiplet with AdS mass m2 = −8
We analyze the four-point function of stress-tensor multiplets for the 6d quantum field theory with OSp(8∗|4) symmetry which is conjectured to be dual to M-theory on AdS7 × S4, and deduce the leading correction to the tree-level supergravity prediction by obtaining a solution of the crossing equations in the large-N limit with the superconformal partial wave expansion truncated to operators with zero spin
We have explored some implications of superconformal and crossing symmetry for 4-point correlators of stress tensor multiplets in the 6d (2, 0) theory in order to gain new insight into M-theory beyond the supergravity approximation
Summary
Superconformal symmetry in six dimensions has been studied in a number of papers [5, 13,14,15, 18,19,20, 22, 23] It constrains the four-point function of stress-tensor multiplets in the 6d (2, 0) theory in terms of a single function, or “prepotential”, of two variables F (x1, x2) as follows λ4 (g13g24) T1T2T3T4 = D (SF (x1, x2)) + S12F (x1, x1) + S22F (x2, x2). Note that above we have written the blocks Gmn(x1, x2) as a series expansion This expansion can be summed up and written explicitly in terms of hypergeometric functions [21]
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