Segmented strings, brane tilings, and the Y-system

2021/12/29 by David Vegh, Vegh, David
Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Galaxies: Formation, Evolution, Phenomena

paper · pdf · doi:10.48550/arxiv.2112.14619

Abstract

I show that the motion of a closed string consisting of n segments in AdS₃ can be embedded into the mutation dynamics of the Y^n,0 brane tiling. The determinant of the Kasteleyn matrix computes the spectral curve. The dynamics is governed by a Y-system with additional constraints ensuring that the string closes in target space. The constraints can be deformed by coupling the worldsheet to a background two-form whose field strength is proportional to the volume form.

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