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 …

In theories with extended supersymmetry the protected observables of UV superconformal
fixed points are found in a number of contexts to be encoded in the BPS solitons along an IR …

What follows is a broad-brush overview of the recent synergistic interactions between
mathematics and theoretical physics of quantum field theory and string theory. The …

We discuss certain structural analogies between supersymmetric quiver gauge theories and
lattice models leading to fracton phases of matter. In particular, classes of quiver models can …

A bstract We study type-B conformal anomalies associated with\(\frac {1}{2}\)-BPS Coulomb-
branch operators in 4D\(\mathcal {N}\)= 2 superconformal field theories. When the vacuum …

A bstract Even though for generic\(\mathcal {N}\)= 1 theories it is not possible to separate
distinct branches of supersymmetric vacua, in this paper we study a special class …

We argue that quiver gauge theories with SU (N) gauge groups give rise to lattice gauge
theories with matter possessing fractonic properties, where the lattice is the quiver itself. This …

A bstract We use the exact-deconstruction prescription to lift various squashed-S 3 partition
functions with supersymmetric-defect insertions to four-dimensional superconformal indices …

We study type-B conformal anomalies associated with 1 2-BPS Coulomb-branch operators
in 4D N= 2 superconformal field theories. When the vacuum preserves the conformal …

Maximally supersymmetric Yang–Mills theory in four dimensions has remarkable features
such as conformal symmetry at the quantum level, evidence of integrability and the …