In this talk I will discuss holographic duals of topological
operators. At low energy sugra, they can be realized by Page
charge associated to Gauss law constraints. In the UV string
theory, topological operators can be characterized by
various...
Quantum critical points usually separate two distinct phases of
matter. Here I will discuss a class of "unnecessary" quantum
critical points that lie within a single phase of matter (much like
the liquid-gas transition, except that they are...
I will describe constructions of lattice field theories that
assign a single bosonic variable to each site, rather a conjugate
pair x,p. The information to realize a non-trivial dynamics is
realized by non-trivial Poisson brackets between nearest...
The Miura transformation is a powerful formalism to construct
generators of vertex operator algebras in free field
representation. In this talk, I will explain that Miura operators
are R-matrices of a certain quantum algebra, and comment on
physical...
Holographic tensor networks model AdS/CFT, but so far they have
been limited by involving only systems that are very different from
gravity. Unfortunately, we cannot straightforwardly discretize
gravity to incorporate it, because that would break...
I will describe the one-loop partition function for strings
propagating on AdS3 geometries with NS-NS flux (for generic values
of AdS radius in string units). The essential ingredients
that go into this analysis have been known for a while. The
goal...
I will describe a double scaled matrix and tensor integral whose
Feynman diagrams can be organized in a 3d topological expansion
which agrees term by term with partition functions of 3d gravity.
The integral is taken over CFT2 data, and the limiting...
The TTbar deformation is a holographic theory describing
holography a finite distance in the bulk. If this
theory can be UV completed, it could be a model of nonperturbative
bulk quantum gravity. However, it seems to be a non-unitary
theory, as...
We will discuss excitations with large spin and/or large
particle number. For conformal theories this corresponds to
investigating particular trajectories of heavy operators.
We find trajectories with large approximate degeneracy and show
that they...
I will give a lightning review of results on this subject from
1988-1998 and then describe more recent developments, mostly
current work in progress. First, I will describe topological
twisting of Lagrangian N=2 d=4 field theories in terms of
the...
