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Boundary states for chiral symmetries in two dimensions

Published version
Peer-reviewed

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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