These lectures were given at the Weizmann Institute in the spring of 2019. They are
intended to familiarize students with the nuts and bolts of the numerical bootstrap as …

A bstract We develop new tools for isolating CFTs using the numerical bootstrap. A “cutting
surface” algorithm for scanning OPE coefficients makes it possible to find islands in high …

Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

We present enhancements to SDPB, an open source, parallelized, arbitrary precision
semidefinite program solver designed for the conformal bootstrap. The main enhancement is …

A bstract We compute the superconformal index of 3d\(\mathcal {N}\)= 2 superconformal field
theories obtained from N M5-branes wrapped on a hyperbolic 3-manifold. Exploiting the 3d …

A bstract We study the large N expansion of twisted partition functions of 3d\(\mathcal {N}\)=
2 superconformal field theories arising from N M5-branes wrapped on a hyperbolic 3 …

A bstract We study the interplay between four-derivative 4d gauged supergravity,
holography, wrapped M5-branes, and theories of class\(\mathrm {\mathcal {R}}\). Using …

A bstract We revisit Dimofte-Gaiotto-Gukov's construction of 3d gauge theories associated to
3-manifolds with a torus boundary. After clarifying their construction from a viewpoint of …

We introduce a differential refinement of Cohomotopy cohomology theory, defined on
Penrose diagram spacetimes, whose cocycle spaces are unordered configuration spaces of …

A bstract We apply bootstrap techniques in order to constrain the CFT data of the (A 1, A 2)
Argyres-Douglas theory, which is arguably the simplest of the Argyres-Douglas models. We …