Boundary states for chiral symmetries in two dimensions
Authors
Smith, Philip Boyle
Tong, David
Publication Date
2020-09-02Journal Title
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Volume
2020
Issue
9
Language
en
Type
Article
This Version
VoR
Metadata
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Smith, P. B., & Tong, D. (2020). Boundary states for chiral symmetries in two dimensions. Journal of High Energy Physics, 2020 (9)https://doi.org/10.1007/jhep09(2020)018
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.
Keywords
Regular Article - Theoretical Physics, Conformal Field Theory, Field Theories in Lower Dimensions, Topological States of Matter
Identifiers
jhep09(2020)018, 13719
External DOI: https://doi.org/10.1007/jhep09(2020)018
This record's URL: https://www.repository.cam.ac.uk/handle/1810/315611
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/