## Meta-conformal symmetries and applications to the directed Glauber-Ising model

By: Malte Henkel

From: Universite de Lorraine Nancy, France

At: C1, 1.4.14

[2019-05-30]

Meta-conformal transformations are defined as sets of time-space transformations which are not angle-preserving butÂ contain time- and space translations, time-space dilatations with dynamical exponent z=1 and whose Lie algebras contain conformal Lie algebras as sub-algebras.Â

They act as dynamical symmetries of the linear transport equation in d spatial dimensions, instead of the Laplace equation invariant under ortho-conformal transformations.Â Infinite-dimensional Lie algebras of meta-conformal transformations are explicitly constructed for d=1 and d=2 space dimensions. These Lie algebrasÂ are isomorphic to the direct sum of either two or three centre-less Virasoro algebras, respectively.

The form of co-variant two-point correlators is derived. An application to the directed Glauber-Ising chain with spatially long-ranged initial conditions is described.

**Project**UIDB/00618/2020