Domain Wall Junctions and Categorical Wall-Crossing
Abstract: The wall-crossing property of BPS states is an important feature common to centrally extended supersymmetric field theories. In this talk I will describe how the physics of domain wall junctions combined with elementary ideas in homological algebra leads to a categorical wall-crossing formula; a universal description of how BPS Hilbert spaces jump across a wall of marginal stability. Based on an upcoming paper with Greg Moore.
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