Chern-Simons matter theories and higher spin gravity

Abstract

Abstract We compute the parity violating three point amplitudes with one scalar leg in higher spin gravity and compare results with those of Chern-Simons matter theories. The three-point correlators of the free boson, free fermion, critical vector model and Gross-Neveu model are reproduced including the dependence on the Chern-Simons coupling. We also perform a simple test of the modified higher spin equations proposed in arXiv:1605.02662 and find that the results are consistent with the AdS/CFT correspondence.

Keywords

• AdS-CFT Correspondence
• Higher Spin Symmetry
• Conformal Field Theory
• 1/N Expansion