In these lectures, I give a pedagogical presentation of some of the recent progress in
supersymmetric Chern–Simons-matter theories, coming from the use of localization and …

A bstract Non-invertible symmetries have recently been understood to provide interesting
constraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can …

A bstract We derive the Symmetry Topological Field Theories (SymTFTs) for 3d
supersymmetric quantum field theories (QFTs) constructed in M-theory either via geometric …

This paper reviews the properties and applications of certain n-ary generalizations of Lie
algebras in a self-contained and unified way. These generalizations are algebraic structures …

A bstract We expand the results of arxiv: 1105.5165, where a holographic description of a
conformal field theory defined on a manifold with boundaries (so called BCFT) was …

A bstract Mixed anomalies, higher form symmetries, two-group symmetries and non-
invertible symmetries have proved to be useful in providing non-trivial constraints on the …

Higher Spin Gravity refers to extensions of gravity including at least one field of spin greater
than two. These extensions are expected to provide manageable models of quantum gravity …

We study three-dimensional conformal field theories described by U (N) Chern–Simons
theory at level k coupled to massless fermions in the fundamental representation. By solving …

The partition function of N= 6 supersymmetric Chern–Simons-matter theory (known as ABJM
theory) on S^ 3, as well as certain Wilson loop observables, are captured by a zero …

The partition function on the 3-sphere of many supersymmetric Chern–Simons-matter
theories reduces, by localization, to a matrix model. We develop a new method to study …