Singularity Structure of N=2 Supersymmetric Yang-Mills Theories

by Mrs Jihye Seo (DESY)

Thursday 21 Nov 2013, 14:15 → 15:15 Europe/Berlin

Seminar Room 2 (DESY, building 2a)

We study the N = 2 supersymmetric Yang-Mills (SYM) theories with classical gauge groups with a rank r, SU(r+1), SO(2r), Sp(2r), and SO(2r+1) via Riemann surfaces called Seiberg-Witten curves. We discuss physical singularity associated with massless particles, which can be studied by geometric singularity of vanishing 1-cycles in Riemann surfaces in hyperelliptic form. We pay particular attention to the cases where mutually non-local states become massless (Argyres-Douglas theories). We discuss non-trivial topology on the moduli space of the theory, which is reflected as monodromy associated to vanishing 1-cycles. We observe how electric and magnetic (dyon) charges get changed as we move around and through singularity in moduli space.