In this talk I will describe the properties of half-BPS boundary
conditions in
three-dimensional N=4 gauge theories. I will discuss the
relationship between this work and the mathematical theory of
symplectic duality.
I will describe some situations where mysterious features have
appeared in numerical studies of the conformal bootstrap. It is
tempting to speculate that they may correspond to new CFTs, but we
do not yet have good guesses for a microscopic...
The relationship between 3d gravity and 2d CFT provides a useful
controlled playground in which to try and address issues of quantum
gravity. In this talk I describe recent thoughts about two related
problems: the construction of candidate duals to...
Spontaneously broken conformal invariance appears in many
contexts such as a class of Higgs portal models, N>=2 SYM on its
Coulomb branch, inflation and target space string theory. In
observables this broken symmetry is shown to lead to soft...
I will discuss the dimensional continuation of the sphere free
energy in conformal field theory. This provides a smooth
interpolation between a-anomaly coefficients in even dimensions and
F-values in odd dimensions, and suggests a generalization of...
Fluid dynamics is a centuries old phenomenological framework at
the centre of various fields of science and engineering. But, we
have only recently began to appreciate its claim as a paradigmatic
effective field theory of mixed states and its...
In the beginning of my talk I will review some general facts about
3d-3d correspondence and describe how to construct 3d theory T[M_3]
associated to a Seifert 3-manifold M_3. Then I will show how one
can calculate the Casson-Walker invariant of M_3...