Lecture notes on generalized symmetries and applications

R Luo, QR Wang, YN Wang - Physics Reports, 2024 - Elsevier
In this lecture note, we give a basic introduction to the rapidly developing concepts of
generalized symmetries, from the perspectives of both high energy physics and condensed …

Symmetry TFTs from string theory

F Apruzzi, F Bonetti, I García Etxebarria… - … in mathematical physics, 2023 - Springer
We determine the d+ 1 dimensional topological field theory, which encodes the higher-form
symmetries and their't Hooft anomalies for d-dimensional QFTs obtained by compactifying M …

Coulomb and Higgs branches from canonical singularities. Part 0

C Closset, S Schäfer-Nameki, YN Wang - Journal of High Energy Physics, 2021 - Springer
A bstract Five-and four-dimensional superconformal field theories with eight supercharges
arise from canonical threefold singularities in M-theory and Type IIB string theory …

5d and 4d SCFTs: canonical singularities, trinions and S-dualities

C Closset, S Giacomelli, S Schäfer-Nameki… - Journal of High Energy …, 2021 - Springer
A bstract Canonical threefold singularities in M-theory and Type IIB string theory give rise to
superconformal field theories (SCFTs) in 5d and 4d, respectively. In this paper, we study …

Coulomb and Higgs branches from canonical singularities. Part I. Hypersurfaces with smooth Calabi-Yau resolutions

C Closset, S Schäfer-Nameki, YN Wang - Journal of High Energy Physics, 2022 - Springer
A bstract Compactification of M-theory and of IIB string theory on threefold canonical
singularities gives rise to superconformal field theories (SCFTs) in 5d and 4d, respectively …

Fibers add flavor. Part I. Classification of 5d SCFTs, flavor symmetries and BPS states

F Apruzzi, C Lawrie, L Lin, S Schäfer-Nameki… - Journal of High Energy …, 2019 - Springer
We propose a graph-based approach to 5d superconformal field theories (SCFTs) based on
their realization as M-theory compactifications on singular elliptic Calabi-Yau threefolds …

Higher-form symmetries in 5d

DR Morrison, S Schäfer-Nameki, B Willett - Journal of High Energy Physics, 2020 - Springer
A bstract We study higher-form symmetries in 5d quantum field theories, whose charged
operators include extended operators such as Wilson line and't Hooft operators. We outline …

0-form, 1-form, and 2-group symmetries via cutting and gluing of orbifolds

M Cvetič, JJ Heckman, M Hübner, E Torres - Physical Review D, 2022 - APS
Orbifold singularities of M-theory constitute the building blocks of a broad class of
supersymmetric quantum field theories (SQFTs). In this paper we show how the local data of …

Higher-form symmetries of 6d and 5d theories

L Bhardwaj, S Schäfer-Nameki - Journal of High Energy Physics, 2021 - Springer
A bstract We describe general methods for determining higher-form symmetry groups of
known 5d and 6d superconformal field theories (SCFTs), and 6d little string theories (LSTs) …

SymTFTs and duality defects from 6d SCFTs on 4-manifolds

J Chen, W Cui, B Haghighat, YN Wang - Journal of High Energy Physics, 2023 - Springer
A bstract In this work we study particular TQFTs in three dimensions, known as Symmetry
Topological Field Theories (or SymTFTs), to identify line defects of two-dimensional CFTs …