Boundary states for chiral symmetries in two dimensions
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Smith, Philip Boyle
Tong, David
Abstract
Abstract: We study boundary states for Dirac fermions in d = 1 + 1 dimensions that preserve Abelian chiral symmetries, meaning that the left- and right-moving fermions carry different charges. We derive simple expressions, in terms of the fermion charge assignments, for the boundary central charge and for the ground state degeneracy of the system when two different boundary conditions are imposed at either end of an interval. We show that all such boundary states fall into one of two classes, related to SPT phases supported by (−1)F , which are characterised by the existence of an unpaired Majorana zero mode.
Description
Keywords
Regular Article - Theoretical Physics, Conformal Field Theory, Field Theories in Lower Dimensions, Topological States of Matter
Journal Title
Journal of High Energy Physics
Conference Name
Journal ISSN
1029-8479
Volume Title
2020
Publisher
Springer Berlin Heidelberg