We will discuss the issue of UV completion in the context of weakly
coupled theories. For concreteness, we will ask: is it possible to
complete a low-energy 4-particle scattering amplitude into one
which is well-behaved at high-energies, with only...
In this talk I will discuss how to find superconformal blocks
associated to the four point function of half-BPS operators in N=4
SYM in 4 dimensions. I will discuss how to study this problem in
the analytic superspace and I will conclude with some...
Over the last few years it has become clear that there is a deep
connection between quantum entanglement and gravity. I will talk
about two aspects of this connection. The first involves
understanding quantum entanglement from a holographic...
We will discuss the various algebraic structures that appear
when studying supersymmetric operators in SCFTs in various
dimensions and the connections between them.
For example, topics may include relatively standard
constructions such as chiral...
I will present a new area law in General Relativity. This new
area law holds on local analogues of event horizons that have an
independent thermodynamic significance due to the Bousso bound. I
will also discuss a quantum generalization of this more...
I will consider the Renormalization Group flow of Quantum
Electrodynamics in $d=3$ coupled to $N_f$ flavors of fermions. For
$N_f$ smaller than a critical value $N_f^c$, chiral symmetry
breaking is believed to take place. For $N_f > N_f^c$,
the...
I will review some properties of BPS particles in
four-dimensional N=2 field theories. I will emphasize recent
developments and unsolved problems including restrictions on the
charges of BPS particles, ideas about their large charge
degeneracies...
The claim that quantum gravity effects destroy the classical
black hole horizon and has to be replaced by a firewall or
horizon-scale structure is rather bold but is supported in string
theory. I will discuss signs of this breakdown of effective...
We will discuss various aspects of the manifold of conformal
field theories. Most of the time will be devoted to a review of
older background material. It will allow us to give a unified and
more conceptual treatment of some recent results.
Relative entropy is a measure of distinguishability of states
and plays a central in quantum information theory. We argue that it
is a natural generalization of free energy to far from equilibrium
states. A generalization of the standard replica...