Boundary states for chiral symmetries in two dimensions

A bstract 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 a...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2020; no. 9; pp. 1 - 36
Main Authors Smith, Philip Boyle, Tong, David
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2020
SpringerOpen
Subjects
Classical and Quantum Gravitation
Conformal Field Theory
Elementary Particles
Field Theories in Lower Dimensions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Topological States of Matter
Field Theories in Lower Dimensions
Topological States of Matter
Conformal Field Theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2020)018