Top down approach to 6D SCFTs

JJ Heckman, T Rudelius - Journal of Physics A: Mathematical …, 2019 - iopscience.iop.org
Abstract Six-dimensional (6D) superconformal field theories (SCFTs) occupy a central place
in the study of quantum field theories encountered in high energy theory. This article reviews …

The branes behind generalized symmetry operators

JJ Heckman, M Hübner, E Torres… - Fortschritte der …, 2023 - Wiley Online Library
The modern approach to m‐form global symmetries in ad‐dimensional quantum field theory
(QFT) entails specifying dimension d− m− 1 dm-1 topological generalized symmetry …

AdS and the Swampland

D Lüst, E Palti, C Vafa - Physics Letters B, 2019 - Elsevier
We study aspects of anti-de Sitter space in the context of the Swampland. In particular, we
conjecture that the near-flat limit of pure AdS belongs to the Swampland, as it is necessarily …

R7-branes as charge conjugation operators

M Dierigl, JJ Heckman, M Montero, E Torres - Physical Review D, 2024 - APS
R7-branes are a class of recently discovered nonsupersymmetric real codimension-two
duality defects in type IIB string theory predicted by the swampland cobordism conjecture …

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 …

Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities

F Apruzzi, C Lawrie, L Lin, S Schäfer-Nameki… - Journal of High Energy …, 2020 - Springer
A bstract In [1, 2] we proposed an approach based on graphs to characterize 5d
superconformal field theories (SCFTs), which arise as compactifications of 6d\(\mathcal …

Atomic classification of 6D SCFTs

JJ Heckman, DR Morrison, T Rudelius… - Fortschritte der …, 2015 - Wiley Online Library
We use F‐theory to classify possibly all six‐dimensional superconformal field theories
(SCFTs). This involves a two step process: We first classify all possible tensor branches …

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 …

On geometric classification of 5d SCFTs

P Jefferson, S Katz, HC Kim, C Vafa - Journal of High Energy Physics, 2018 - Springer
A bstract We formulate geometric conditions necessary for engineering 5d superconformal
field theories (SCFTs) via M-theory compactification on a local Calabi-Yau 3-fold. Extending …

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 …