2020/10/22 by Ahsan Z. Khan, Khan, Ahsan Z., Gregory W. Moore +1
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2010.11837
We describe how categorical BPS data including chain complexes of solitons, CPT pairings, and interior amplitudes jump across a wall of marginal stability in two-dimensional N=(2,2) models. We show that our jump formulas hold if and only if the A∞-categories of half-BPS branes constructed on either side of the wall are homotopy equivalent. These results can be viewed as categorical enhancements of the Cecotti-Vafa wall-crossing formula.