Gauge × gauge = gravity on homogeneous spaces using tensor convolutions

Gauge × gauge = gravity on homogeneous spaces using tensor convolutions

Abstract A definition of a convolution of tensor fields on group manifolds is given, which is then generalised to generic homogeneous spaces. This is applied to the product of gauge fields in the context of ‘gravity = gauge × gauge’. In particular, it is shown that the linear Becchi-Rouet-Stora-Tyut...

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Main Authors: L. Borsten, I. Jubb, V. Makwana, S. Nagy
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
Series:Journal of High Energy Physics
Subjects:
BRST Quantization
Gauge Symmetry
Gauge-gravity correspondence
Space-Time Symmetries
Online Access:https://doi.org/10.1007/JHEP06(2021)117
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spelling doaj-b757a9ed3fb1414d94bedaea736746592021-06-20T11:06:58ZengSpringerOpenJournal of High Energy Physics1029-84792021-06-012021614210.1007/JHEP06(2021)117Gauge × gauge = gravity on homogeneous spaces using tensor convolutionsL. Borsten0I. Jubb1V. MakwanaS. Nagy2Maxwell Institute for Mathematical Sciences, Department of Mathematics, Heriot-Watt UniversitySchool of Theoretical Physics, Dublin Institute for Advanced StudiesQueen Mary University of LondonAbstract A definition of a convolution of tensor fields on group manifolds is given, which is then generalised to generic homogeneous spaces. This is applied to the product of gauge fields in the context of ‘gravity = gauge × gauge’. In particular, it is shown that the linear Becchi-Rouet-Stora-Tyutin (BRST) gauge transformations of two Yang-Mills gauge fields generate the linear BRST diffeomorphism transformations of the graviton. This facilitates the definition of the ‘gauge × gauge’ convolution product on, for example, the static Einstein universe, and more generally for ultrastatic spacetimes with compact spatial slices.https://doi.org/10.1007/JHEP06(2021)117BRST QuantizationGauge SymmetryGauge-gravity correspondenceSpace-Time Symmetries
collection DOAJ
language English
format Article
sources DOAJ
author L. Borsten
I. Jubb
V. Makwana
S. Nagy
spellingShingle L. Borsten
I. Jubb
V. Makwana
S. Nagy
Gauge × gauge = gravity on homogeneous spaces using tensor convolutions
Journal of High Energy Physics
BRST Quantization
Gauge Symmetry
Gauge-gravity correspondence
Space-Time Symmetries
author_facet L. Borsten
I. Jubb
V. Makwana
S. Nagy
author_sort L. Borsten
title Gauge × gauge = gravity on homogeneous spaces using tensor convolutions
title_short Gauge × gauge = gravity on homogeneous spaces using tensor convolutions
title_full Gauge × gauge = gravity on homogeneous spaces using tensor convolutions
title_fullStr Gauge × gauge = gravity on homogeneous spaces using tensor convolutions
title_full_unstemmed Gauge × gauge = gravity on homogeneous spaces using tensor convolutions
title_sort gauge × gauge = gravity on homogeneous spaces using tensor convolutions
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-06-01
description Abstract A definition of a convolution of tensor fields on group manifolds is given, which is then generalised to generic homogeneous spaces. This is applied to the product of gauge fields in the context of ‘gravity = gauge × gauge’. In particular, it is shown that the linear Becchi-Rouet-Stora-Tyutin (BRST) gauge transformations of two Yang-Mills gauge fields generate the linear BRST diffeomorphism transformations of the graviton. This facilitates the definition of the ‘gauge × gauge’ convolution product on, for example, the static Einstein universe, and more generally for ultrastatic spacetimes with compact spatial slices.
topic BRST Quantization
Gauge Symmetry
Gauge-gravity correspondence
Space-Time Symmetries
url https://doi.org/10.1007/JHEP06(2021)117
work_keys_str_mv AT lborsten gaugegaugegravityonhomogeneousspacesusingtensorconvolutions
AT ijubb gaugegaugegravityonhomogeneousspacesusingtensorconvolutions
AT vmakwana gaugegaugegravityonhomogeneousspacesusingtensorconvolutions
AT snagy gaugegaugegravityonhomogeneousspacesusingtensorconvolutions
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