Research lectures, seminars and events
The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but wish to enquire about attending one of the events please contact the organiser or host department.
Maths HEP Lunchtime Seminars: Phases of 4d SYM at large N and supersymmetric black holes in AdS5.
It was thought until relatively recently that the most general 4d superconformal index on S^3 x S^1 does not contain an exponential growth of states as a function of the charges, thus posing the puzzle: how do we account for the entropy of supersymmetric black holes in the holographically dual AdS_5? I will discuss recent progress on this subject showing that the superconformal index does indeed have an exponential growth of states which is completely consistent with the existence of a black hole. I will discuss this from both the bulk and boundary point of view. In the boundary SYM, I will show that there is an infinite family of saddle points of the relevant matrix integral, one of which is identified with the black hole. I will then discuss the phase diagram of the theory. The solution of this matrix integral relies on some interesting connections to the Bloch-Wigner elliptic dilogarithm.
This will be based on arXiv:1810.11442, 1904.05865, and mainly 1909.09597.
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