Three Point Amplitudes and Emergent Symmetries in Matrix Theory

The Banks-Fischler-Shenker-Susskind (BFSS) theory is a matrix model conjecturally dual to M-theory in eleven dimensional asymptotically flat space when the size of the matrices is taken large. The model has many desirable features due to its relative simplicity. For example, as a quantum mechanical model, the model avoids many of the usual issues plaguing quantum field theories. However, the model is nevertheless poorly understood. After giving a review of the BFSS model, I will give an overview of some recent results. First, I will argue that three point amplitudes in the matrix model can be related to a supersymmetric index. This index-amplitude relation can be used to compute three point amplitudes in regimes that are naively not holographic. I will then leverage the three point amplitude result, in combination with other assumptions, to argue for an emergent Lorentz symmetry in the holographic regime.