non-local meta-conformal invariance, diffusion-limited erosion and the xxz chain

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ID: 179075
2016
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Abstract
Diffusion-limited erosion is a distinct universality class of fluctuating interfaces. Although its dynamical exponent z = 1 , none of the known variants of conformal invariance can act as its dynamical symmetry. In d = 1 spatial dimensions, its infinite-dimensional dynamic symmetry is constructed and shown to be isomorphic to the direct sum of three loop-Virasoro algebras. The infinitesimal generators are spatially non-local and use the Riesz-Feller fractional derivative. Co-variant two-time response functions are derived and reproduce the exact solution of diffusion-limited erosion. The relationship with the terrace-step-kind model of vicinal surfaces and the integrable XXZ chain are discussed.
Reference Key
henkel2016symmetrynon-local Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Malte Henkel
Journal journal of hospitality and tourism management
Year 2016
DOI
10.3390/sym9010002
URL
http://www.mdpi.com/2073-8994/9/1/2
Keywords
physical ageing representations

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