Classification of Rank 1 N=2 superconformal field theories.

by Dr Mario Martone

Tuesday 13 Jan 2015, 14:30 → 15:30 Europe/Rome

0M04 (M. S. Angelo)

Abstract - The Seiberg-Witten construction provides a beautiful geometric understanding of N=2 theories. This construction shows that N=2 superconformal field theories (SCFTs) are given by scale invariant, singular Rigid Special Kahler geometries which in the rank=1 case were completely classified by Kodaira. We will review this construction and argue that the picture is in fact much richer, as for each element in the Kodaira classification exist many SCFTs. Through our construction we can reproduce all the known SCFTs in N=2 and conjecture more.