Speaker
Patricio Salgado-Rebolledo
(Asia Pacific Center for Theoretical Physics (APCTP))
Description
We consider matter couplings to Aristotelian gravity with arbitrary $p$-brane foliations. To this end, we extend the $p$-brane Aristotelian algebra by including a dilatation symmetry generator that acts anisotropically on the longitudinal and transverse directions. Using this conformal extension, we demonstrate how Aristotelian gravity can be coupled to quadratic-derivative matter models, as well as to certain higher-derivative models recently studied in connection with fractons. Finally, we briefly review a recently proposed effective description of multi-Weyl semimetals based on string-foliated Aristotelian geometry.