Dualities of 5d gauge theories from S-duality

Journal of High Energy Physics

Lakshya Bhardwaj¹ 

[1] Department of Physics, Harvard University;

关键词: Duality in Gauge Field Theories;    Field Theories in Higher Dimensions;    Supersymmetric Gauge Theory;    Supersymmetry and Duality;   

DOI  :  10.1007/JHEP07(2020)012

来源: DOAJ

【 摘 要 】

Abstract We describe a general method to determine dualities between supersymmetric 5d gauge theories. The method is based on performing local S-dualities in the geometry associated to the gauge theory. We find that often a duality can be obtained by adding matter to both sides of a more primitive duality. This allows us to define the notion of irreducible dualities which cannot be obtained from more primitive dualities. More general dualities then are obtained by adding matter to both sides of an irreducible duality. The geometric method described in this paper allows us to systematically construct irreducible dualities. As an application, we explicitly determine a special class of irreducible dualities classified by removal and addition of edges into a Dynkin diagram. This class of dualities vastly generalizes many of the known 5d dualities in the literature.

【 授权许可】

Unknown