MS Seminar (Mathematics - String Theory)

Speaker: Noppadol Mekareeya (MPI Munich)
Title: Integer Partitions, 3d Mirror Symmetry and 3d Gauge Theories
Date: Tue, Mar 27, 2012, 13:15 - 14:45
Place: Seminar Room A
Abstract: In this talk, I will focus on an infinite class of 3d N=4 gauge theories which can be constructed from a certain set of ordered pairs of integer partitions. These theories can be elegantly realised on brane intervals in string theory. I will give an elementary review on such brane constructions and introduce to the audience a symmetry, known as mirror symmetry, which exchanges two different phases (namely the Higgs and Coulomb phases) of such theories. Using mirror symmetry as a tool, I will discuss a certain geometrical aspect of the vacuum moduli spaces of such theories in the Coulomb phase. It turns out that there are certain infinite subclasses of such spaces which are special and rather simple to study; they are complete intersections. I will mention some details and many interesting features of these spaces.