I will discuss two methods for diagnosing ’t Hooft anomalies of
internal symmetries in 2+1d lattice systems. Anomalous symmetries
of this kind arise naturally at the boundary of 3+1D
symmetry-protected topological phases, and are known to be...
The Gaiotto-Moore-Witten "Algebra of the Infrared" allows one to
construct the category of supersymmetric boundary conditions for a
wide class of massive N=(2,2) QFTs in two dimensions. In
particular, it applies to N=(2,2) QFTs defined by a Morse...
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...
