A slow review of the AGT correspondence

B Le Floch - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
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 …

Snowmass white paper on SCFTs

PC Argyres, JJ Heckman, K Intriligator… - arXiv preprint arXiv …, 2022 - arxiv.org
Superconformal field theories (SCFTs) occupy a central role in the study of many aspects of
quantum field theory. In this white paper for the Snowmass process we give a brief overview …

The hitchhiker's guide to 4d superconformal field theories

M Akhond, G Arias Tamargo, A Mininno… - SciPost Physics Lecture …, 2022 - scipost.org
Superconformal field theory with $\mathcal {N}= 2$ supersymmetry in four dimensional
spacetime provides a prime playground to study strongly coupled phenomena in quantum …

Flavored modular differential equations

Y Pan, Y Wang - Physical Review D, 2023 - APS
Flavored modular differential equations sometimes arise from null states or their
descendants in a chiral algebra with continuous flavor symmetry. In this paper we focus on …

Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras

T Arakawa, J Van Ekeren, A Moreau - Forum of Mathematics, Sigma, 2024 - cambridge.org
We develop techniques to construct isomorphisms between simple affine W-algebras and
affine vertex algebras at admissible levels. We then apply these techniques to obtain many …

Chiral algebra, localization, modularity, surface defects, and all that

M Dedushenko, M Fluder - Journal of Mathematical Physics, 2020 - pubs.aip.org
Chiral algebra, localization, modularity, surface defects, and all that Page 1 Journal of
Mathematical Physics ARTICLE scitation.org/journal/jmp Chiral algebra, localization …

Schur correlation functions on S3× S1

Y Pan, W Peelaers - Journal of High Energy Physics, 2019 - Springer
A bstract The Schur limit of the superconformal index of four-dimensional\(\mathcal {N}\)= 2
superconformal field theories has been shown to equal the supercharacter of the vacuum …

[PDF][PDF] 3d mirror for Argyres-Douglas theories

D Xie - arXiv preprint arXiv:2107.05258, 2021 - scipost.org
3d mirrors for all 4d N= 2 Argyres-Douglas (AD) theories engineered using 6d (2, 0) theory
are found. The basic steps are: 1): Find a punctured sphere representation for the AD …

Braided Tensor Categories Related to Vertex Algebras

J Auger, T Creutzig, S Kanade, M Rupert - … in Mathematical Physics, 2020 - Springer
The B _ p B p-algebras are a family of vertex operator algebras parameterized by p ∈ Z _ ≥
2 p∈ Z≥ 2. They are important examples of logarithmic CFTs and appear as chiral algebras …

4d/2d 3d/1d: A song of protected operator algebras

M Dedushenko, Y Wang - arXiv preprint arXiv:1912.01006, 2019 - arxiv.org
Superconformal field theories (SCFT) are known to possess solvable yet nontrivial sectors in
their full operator algebras. Two prime examples are the chiral algebra sector on a two …