Realizing IR theories by projections in the UV

Abstract We show how (topologically twisted) quantum field theories in the IR of bulk RG flows can be represented within the respective UV theories by means of codimenion- one projection defects. Indeed, from this perspective, RG flows of bulk theories can be described in terms of RG flows of the co...

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Main Authors: Fabian Klos, Daniel Roggenkamp
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2020)097
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spelling doaj-f372b1434b2b494298681636c0227cee2021-01-17T12:06:08ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020116310.1007/JHEP01(2020)097Realizing IR theories by projections in the UVFabian Klos0Daniel Roggenkamp1Institut für Theoretische Physik, Universität HeidelbergInstitut für Mathematik, Universität MannheimAbstract We show how (topologically twisted) quantum field theories in the IR of bulk RG flows can be represented within the respective UV theories by means of codimenion- one projection defects. Indeed, from this perspective, RG flows of bulk theories can be described in terms of RG flows of the codimension-one identity defect in the fixed UV bulk theory. We illustrate this in the example of RG flows between supersymmetric Landau- Ginzburg orbifold models, for which the respective defects can be described in terms of matrix factorizations.https://doi.org/10.1007/JHEP01(2020)097Field Theories in Lower DimensionsRenormalization GroupTopological Field Theories
collection DOAJ
language English
format Article
sources DOAJ
author Fabian Klos
Daniel Roggenkamp
spellingShingle Fabian Klos
Daniel Roggenkamp
Realizing IR theories by projections in the UV
Journal of High Energy Physics
Field Theories in Lower Dimensions
Renormalization Group
Topological Field Theories
author_facet Fabian Klos
Daniel Roggenkamp
author_sort Fabian Klos
title Realizing IR theories by projections in the UV
title_short Realizing IR theories by projections in the UV
title_full Realizing IR theories by projections in the UV
title_fullStr Realizing IR theories by projections in the UV
title_full_unstemmed Realizing IR theories by projections in the UV
title_sort realizing ir theories by projections in the uv
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-01-01
description Abstract We show how (topologically twisted) quantum field theories in the IR of bulk RG flows can be represented within the respective UV theories by means of codimenion- one projection defects. Indeed, from this perspective, RG flows of bulk theories can be described in terms of RG flows of the codimension-one identity defect in the fixed UV bulk theory. We illustrate this in the example of RG flows between supersymmetric Landau- Ginzburg orbifold models, for which the respective defects can be described in terms of matrix factorizations.
topic Field Theories in Lower Dimensions
Renormalization Group
Topological Field Theories
url https://doi.org/10.1007/JHEP01(2020)097
work_keys_str_mv AT fabianklos realizingirtheoriesbyprojectionsintheuv
AT danielroggenkamp realizingirtheoriesbyprojectionsintheuv
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