Spin vortices in the Abelian-Higgs model with cholesteric vacuum structure

Adam J. Peterson, Mikhail Shifman, Gianni Tallarita

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We continue the study of U(1) vortices with cholesteric vacuum structure. A new class of solutions is found which represent global vortices of the internal spin field. These spin vortices are characterized by a non-vanishing angular dependence at spatial infinity, or winding. We show that despite the topological Z2 behavior of SO(3) windings, the topological charge of the spin vortices is of the Z type in the cholesteric. We find these solutions numerically and discuss the properties derived from their low energy effective field theory in 1 + 1 dimensions.

Original languageEnglish (US)
Pages (from-to)515-532
Number of pages18
JournalAnnals of Physics
StatePublished - Dec 1 2015

Bibliographical note

Funding Information:
The work of A.P. is supported by the Doctoral Dissertation Fellowship at the University of Minnesota. The work of M.S. is supported in part by DOE Grant Number De-Sc0011842 . G.T. is funded by Fondecyt Grant Number 3140122 . The Centro de Estudios Cientficos (CECS) is funded by the Chilean Government through the Centers of Excellence Base Financing Program of Conicyt.

Publisher Copyright:
© 2015 Elsevier Inc.


  • Cholesteric liquid
  • Effective field theory
  • Spin vortex


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