Conformal interfaces between free boson orbifold theories

Abstract We construct a large class of conformal interfaces between two-dimensional c = 1 conformal field theories describing compact free bosons and their ℤ 2 $$ {\mathrm{\mathbb{Z}}}_2 $$ orbifolds. The interfaces are obtained by constructing boundary states in the corresponding c = 2 product theo...

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Main Authors: Melanie Becker, Yaniel Cabrera, Daniel Robbins
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP09(2017)148
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author Melanie Becker
Yaniel Cabrera
Daniel Robbins
author_facet Melanie Becker
Yaniel Cabrera
Daniel Robbins
author_sort Melanie Becker
collection DOAJ
description Abstract We construct a large class of conformal interfaces between two-dimensional c = 1 conformal field theories describing compact free bosons and their ℤ 2 $$ {\mathrm{\mathbb{Z}}}_2 $$ orbifolds. The interfaces are obtained by constructing boundary states in the corresponding c = 2 product theories and applying the unfolding procedure. We compute the fusion products for all of these defects, and identify the invertible topological interfaces associated to global symmetries, the interfaces corresponding to marginal deformations, and the interfaces which map the untwisted sector of an orbifold to the invariant states of the parent theory.
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spelling doaj.art-bb6a4de72d304805afb6b67eb89bf8bc2022-12-22T01:06:17ZengSpringerOpenJournal of High Energy Physics1029-84792017-09-012017914410.1007/JHEP09(2017)148Conformal interfaces between free boson orbifold theoriesMelanie Becker0Yaniel Cabrera1Daniel Robbins2George and Cynthia Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M UniversityGeorge and Cynthia Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M UniversityDepartment of Physics, University at AlbanyAbstract We construct a large class of conformal interfaces between two-dimensional c = 1 conformal field theories describing compact free bosons and their ℤ 2 $$ {\mathrm{\mathbb{Z}}}_2 $$ orbifolds. The interfaces are obtained by constructing boundary states in the corresponding c = 2 product theories and applying the unfolding procedure. We compute the fusion products for all of these defects, and identify the invertible topological interfaces associated to global symmetries, the interfaces corresponding to marginal deformations, and the interfaces which map the untwisted sector of an orbifold to the invariant states of the parent theory.http://link.springer.com/article/10.1007/JHEP09(2017)148Conformal Field TheoryD-branesField Theories in Lower DimensionsConformal and W Symmetry
spellingShingle Melanie Becker
Yaniel Cabrera
Daniel Robbins
Conformal interfaces between free boson orbifold theories
Journal of High Energy Physics
Conformal Field Theory
D-branes
Field Theories in Lower Dimensions
Conformal and W Symmetry
title Conformal interfaces between free boson orbifold theories
title_full Conformal interfaces between free boson orbifold theories
title_fullStr Conformal interfaces between free boson orbifold theories
title_full_unstemmed Conformal interfaces between free boson orbifold theories
title_short Conformal interfaces between free boson orbifold theories
title_sort conformal interfaces between free boson orbifold theories
topic Conformal Field Theory
D-branes
Field Theories in Lower Dimensions
Conformal and W Symmetry
url http://link.springer.com/article/10.1007/JHEP09(2017)148
work_keys_str_mv AT melaniebecker conformalinterfacesbetweenfreebosonorbifoldtheories
AT yanielcabrera conformalinterfacesbetweenfreebosonorbifoldtheories
AT danielrobbins conformalinterfacesbetweenfreebosonorbifoldtheories