All tree-level correlators in AdS5×S5 supergravity: hidden ten-dimensional conformal symmetry

By S. Caron-Huot, Anh-Khoi Trinh. Journal of High Energy Physics, 2018

138 citations recorded by the source corpus.

We study correlators of four protected (half-BPS) operators in strongly coupled supersymmetric Yang-Mills theory. These are dual to tree-level supergravity amplitudes on AdS5×S5 for various spherical harmonics on the five-sphere. We use conformal field theory methods, in particular a recently obtained Lorentzian inversion formula, to analytically bootstrap these correlators. The extracted 1/N2 double-trace anomalous dimensions confirm a simple pattern recently conjectured by Aprile, Drummond, Heslop and Paul. We explain this pattern by an unexpected ten-dimensional conformal symmetry which appears to be enjoyed by tree-level supergravity (or a suitable subsector of it). The symmetry combines all spherical harmonics into a single ten-dimensional object, and yields compact expressions for the leading logarithmic part of any half-BPS correlator at each loop order.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/464a1b9779ea21a001bbacaec4a659209c8f696e

Citations in the corpus

• $$ \mathcal{N} $$ = 4 Super-Yang-Mills correlators at strong coupling from string theory and localization (2019, unknown): “at leading order in 1/N and 1/λ) starting with [11], with a general formula proposed in [12, 13] that, quite surprisingly, was shown to exhibit 10d conformal symmetry [14].”