title: Soliton topology versus discrete symmetry in optical lattices.
abstract: We address the existence of vortex solitons supported by azimuthally modulated lattices and reveal how the global lattice discrete symmetry has fundamental implications on the possible topological charges of solitons. We set a general "charge rule" using group-theory techniques, which holds for all lattices belonging to a given symmetry group. Focusing on the case of Bessel lattices allows us to derive also an overall stability rule for the allowed vortex solitons.
authors.affiliation: ICFO-Institut de Ciencies Fotoniques, Universitat Politecnica de Catalunya, Barcelona, Spain.
authors.forename: Yaroslav V
authors.initials: YV
authors.lastname: Kartashov
authors.forename: Albert
authors.initials: A
authors.lastname: Ferrando
authors.forename: Alexey A
authors.initials: AA
authors.lastname: Egorov
authors.forename: Lluis
authors.initials: L
authors.lastname: Torner