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Singularity structure and massless dyons of pure N = 2, d = 4 theories with SU(r+1) and Sp(2r) gauge groups

Thursday 26th January 2012 - 12:00 to 13:00
INI Seminar Room 1
We study pure Seiberg-Witten theories with SU(r+1) and Sp(2r) gauge groups with no flavors. We study singularity loci of moduli space of the Seiberg-Witten curve. Using exterior derivative and discriminant operators, we can find Argyres-Douglas loci of the SW theory. We also compute BPS charges of the massless dyons of SU and Sp SW theory. In a detailed example of C_2=Sp(4), we find 6 points in the moduli space where we have 2 massless BPS dyons, and 3 of them give Argyres-Douglas loci. We show that BPS charges of the massless dyons jump as we go across Argyres-Douglas loci, giving an explicit example of Argyres-Douglas loci living inside the wall of marginal stability.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons