Four dimensional N=4 SYM with gauge group SU(N) admits spherically symmetric, dyonically charged solitons holographically dual to certain probe D3-brane configurations in AdS5 x S5. A peculiar feature of these solitons, that their masses and charges scale linearly with radius, have lead to the suggestion that they may in some sense provide a QFT analogue of extremal black holes. I will...
In this talk I will (mainly) present my recent work on complexity, especially how conformal transformations in AdS_3/CFT_2 can provide useful information to check holographic complexity proposals, as well as considerations of complexity of conformal transformations on the field theory side.
I will show that (1+1)d QFTs typically thermalize more slowly than the expected "Planckian" equilibration time 1/T. This arises due to causality, which imposes strong constraints on the emergence of hydrodynamic sound in low dimensions. Subluminality of sound further allows one to define a thermodynamic analogue of Zamolodchikov's C-function, and constrain the sign of the TT-bar term in the...
