Vertex algebras at the corner

Journal of High Energy Physics

Miroslav Rapčák¹  Davide Gaiotto¹ 

[1] Perimeter Institute for Theoretical Physics;

关键词: Conformal and W Symmetry;    Duality in Gauge Field Theories;    Extended Supersymmetry;    Wilson, ’t Hooft and Polyakov loops;   

DOI  :  10.1007/JHEP01(2019)160

来源: DOAJ

【 摘 要 】

Abstract We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in N $$ \mathcal{N} $$ = 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.

【 授权许可】

Unknown