Symmetries of Near Extremal Black Holes


Maldacena, J. (2019). Symmetries of Near Extremal Black Holes. Perimeter Institute. https://pirsa.org/19040126


Maldacena, Juan. Symmetries of Near Extremal Black Holes. Perimeter Institute, Apr. 23, 2019, https://pirsa.org/19040126


          @misc{ pirsa_19040126,
            doi = {},
            url = {https://pirsa.org/19040126},
            author = {Maldacena, Juan},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Symmetries of Near Extremal Black Holes},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {apr},
            note = {PIRSA:19040126 see, \url{https://pirsa.org}}


The near horizon region of any black hole looks like flat space and displays an approximate Poincare symmetry. We study the way these symmetries are realized for near extremal black holes.

We construct SL(2) generators that move matter fields relative to the boundaries. The construction is exact to all orders in the gravitational coupling. We also display an approximate realization of these generators in terms of simple operators defined at the boundary. These can also be realized in the boundary quantum mechanical theory. We also discuss the realization of these in the SYK model.