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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2017-09-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-12-11T13:07:46Z |
format | Article |
id | doaj.art-bb6a4de72d304805afb6b67eb89bf8bc |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-11T13:07:46Z |
publishDate | 2017-09-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |