2.00 pm, Lecture Hall 802 BTZ dynamics and chaos Rohan Poojary Chennai Mathematical Institute. 190319 Abstract We find an effective action for gravitational interactions with scalars in AdS_3 to first order in G_N at the conformal boundary. This action can be understood as an action for the BrownHenneaux modes and is given by the squareroot product of right and left moving Schwarzian derivatives for conformal transformations of the boundary. We thus reproduce the result \lambda_L=2\pi/\beta for OTOC computed first in arXiv:1412.6087 for a Schwarzchild black hole in AdS_3. Applying the same procedure to rotating BTZ we find the Lyapunov index to be \lambda_L = 2\pi/\beta_+ > 2\pi/\beta where \beta_+ = \beta(1\mu_L) and \mu_L =r_/r_+ being the chemical potential for angular momentum. We thus comment on a possible modification to a part of the proof given in arXiv:1503.01409 to accommodate this result.
