Line Operators in 4d N=2 Supersymmetric Field Theories
Gregory Moore
I will describe work in progress with Davide Gaiotto and Andy Neitzke on the relations between supersymmetric line operators in d=4, N=2 theories and "Darboux coordinates" on Seiberg-Witten moduli spaces. We introduce an index known as the "protected spin character of framed BPS states" which enables us to give a physical proof of the ``motivic Kontsevich-Soibelman wall crossing formula'' and to describe noncommutative deformations of the algebra of the Darboux functions.

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