Jordan algebra

Gene

Combinatorics

Physics

Graph

Algebra over a field

Algebra representation

Repressor

Operator (biology)

Vertex operator algebra

Gauge theory

Chemistry

Operator algebra

Pure mathematics

Duality (order theory)

Mathematics

Mathematical physics

Biochemistry

Supersymmetric gauge theory

Vertex (graph theory)

Transcription factor

Journal of High Energy Physics

A bstract We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 Super Yang Mills gauge theory. These vertex algebras satisfy non-trivial duality relations inherited from S-duality of the four-dimensional gauge theory. The gauge theory construction equips the vertex algebras with collections of modules labelled by supersymmetric interface line defects. We discuss in detail the simplest class of algebras Y L,M,N , which generalizes W N algebras. We uncover tantalizing relations between Y L,M,N , the topological vertex and the W 1+∞ algebra.

Vertex algebras at the corner