Author:
Gaiotto Davide,Rapčák Miroslav
Abstract
Abstract
We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in
$$ \mathcal{N} $$
N
= 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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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