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Categorical wall-crossing in Landau–Ginzburg models

Oct 22, 2020

80 pages

Published in:

Beijing J.Pure Appl.Math. 1 (2024) 1, 43-119

Published: 2024

e-Print:

2010.11837 [hep-th]

DOI:

10.4310/bpam.2024.v1.n1.a2

View in:

ADS Abstract Service

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Abstract: (International Press)

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 12-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.

Note:

80 pages, 18 figures

stability: marginal
dimension: 2
Landau-Ginzburg model
membrane model
Wall crossing
homotopy
soliton
supersymmetry: 2
BPS

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Figures(18)

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