Hopf Textures

Pullback of the Volume Form, Integrable Models in Higher Dimensions and Exotic Textures

A procedure allowing for the construction of Lorentz invariant integrable models living in d+1 dimensional space-time and with an n dimensional target space is provided. Here, integrability is understood as the existence of the generalized zero-curvature formulation and infinitely many conserved quantities. A close relation between the Lagrange density of the integrable models and the pullback ...

Homotopy classification of multiply based textures

It is shown that the homotopy classification of textures defined on physical domains with multiple ends at infinity reduces to that of textures on compact domains if the target space is simply connected. The result is applied to the O(3) sigma model on a cylinder S 1 × R, recently studied by Romão. Consider a classical field theory defined on space X (space-time X × R) with a field taking value...

Solitons in Chern-Simons Theories of Nonrelativistic CPN−1 Models: Spin Textures in the Quantum Hall Effect

Topological solitons in CPN−1 models coupled with a Chern-Simons gauge field and a Hopf term are studied both analytically and numerically. These models are lowenergy effective theories for the quantum Hall effect (QHE) with internal degrees of freedom, like the QHE in double-layer electron systems. These solitons correspond to skyrmions and merons which are charged quasi-excitations in the QHE...

On the Coderivations of Some Hopf Algebras

NOTES ON REGULAR MULTIPLIER HOPF ALGEBRAS

In this paper, we associate canonically a precyclic mod- ule to a regular multiplier Hopf algebra endowed with a group-like projection and a modular pair in involution satisfying certain con- dition