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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Published in | The journal of high energy physics Vol. 2020; no. 9; pp. 1 - 36 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.09.2020
SpringerOpen |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 1029-8479 1029-8479 |
DOI: | 10.1007/JHEP09(2020)018 |