Seminars schedule
| Wed 22 | Thu 23 | Fri 24 | Sat 25 | Sun 26 | Mon 27 | Tue 28 |
14:00 137 |
Wednesday 22 January 2025
| 137 | h: 14:00 | 3D gravity and a measure on the space of 2D CFTs |
| Alexandre Belin | In recent years, low-dimensional models of gravity have been useful toy models to study deep puzzles of quantum gravity like the black hole information paradox. For two-dimensional JT gravity, a new duality was discovered: JT gravity is not dual to a definite quantum system with fixed Hamiltonian, but rather to an ensemble of Hamiltonians, i.e. to a matrix integral. Increasing evidence is pointing towards the fact that 3D gravity is also dual to an ensemble of quantum systems. However, by the virtue of AdS/CFT, these systems must be two-dimensional CFTs, which are much more constrained than Hamiltonians, since they must obey the bootstrap constraints. Very recently, there has been progress on understanding what the dual of pure 3D gravity could be, in terms of a random distribution of CFT data. In this talk, I will explore another possibility. I will consider the outcome of averaging over true CFTs in a window of central charge. This requires defining a normalizable measure on the space of CFTs, which I will provide. Along the way, I will discuss some interesting properties of the landscape of all 2d CFTs, for example the fact that the number of CFTs in an order one window of central charge grows doubly exponentially in the central charge at large $c$. | |
| (Milan Bicocca) | ||
| TPP Group Seminar | ||