{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T01:04:00Z","timestamp":1773536640831,"version":"3.50.1"},"reference-count":78,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2016,12,24]],"date-time":"2016-12-24T00:00:00Z","timestamp":1482537600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/sym9010002","type":"journal-article","created":{"date-parts":[[2016,12,28]],"date-time":"2016-12-28T11:22:14Z","timestamp":1482924134000},"page":"2","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Non-Local Meta-Conformal Invariance, Diffusion-Limited Erosion and the XXZ Chain"],"prefix":"10.3390","volume":"9","author":[{"given":"Malte","family":"Henkel","sequence":"first","affiliation":[{"name":"Rechnergest\u00fctzte Physik der Werkstoffe, Institut f\u00fcr Baustoffe (IfB), ETH Z\u00fcrich, Stefano-Franscini-Platz 3, CH-8093 Z\u00fcrich, Switzerland"},{"name":"Groupe de Physique Statistique, Institut Jean Lamour (CNRS UMR 7198), Universit\u00e9 de Lorraine Nancy, B.P. 70239, F-54506 Vand\u0153uvre-l\u00e8s-Nancy Cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,12,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1016\/0550-3213(84)90052-X","article-title":"Infinite conformal symmetry in two-dimensional quantum field-theory","volume":"241","author":"Belavin","year":"1984","journal-title":"Nuclear Phys. 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