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SUMMARY:BTZ dynamics and chaos
DTSTART;VALUE=DATE-TIME:20190125T043000Z
DTEND;VALUE=DATE-TIME:20190125T053000Z
DTSTAMP;VALUE=DATE-TIME:20190826T002100Z
UID:indico-event-6878@cern.ch
DESCRIPTION:We find an effective action for gravitational interactions wit
h scalars in AdS3 to first order in GN at the conformal boundary. This act
ion can be understood as an action for the Brown-Henneaux modes and is giv
en by the square-root product of right and left moving Schwarzian derivati
ves for conformal transformations of the boundary. We thus reproduce the r
esult λL ={2π \\over β} for OTOC computed first in arXiv:1412.6087 for
a Schwarzchild black hole in AdS3. Applying the same procedure to rotating
BTZ we find the Lyapunov index to be λL = {2π \\over β+} where β+ =
β(1 − μL)\, with μL = {r_- \\over r_+} the chemical potential for ang
ular momentum. We thus comment on a possible modification to a part of the
proof given in arXiv:1503.01409 to accommodate this result.\n\nhttps://in
dico.tifr.res.in/indico/conferenceDisplay.py?confId=6878
LOCATION: A 304
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6878
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