On Dualities of SUSY Field Theories and their Engineering with branes
摘要：IR duality is one of the fascinating phenomenas in quantum field theory, in which two or more QFTs enjoy the same IR physics. I will focus on IR dualities of minimally SUSY field theories in 4, 2, 0 dimensions, namely 4d N=1 Seiberg duality, 2d N=(0,2) triality, 0d N=1 quadrality. There are cases that a large (even infinite) number of QFTs are connected by these dualities, which can be organized into so-called duality web. Engineering these QFTs in string theory with branes provides new perspectives for studying these dualities via geometry, which makes it possible to classify and characterize spaces of dual theories.