Gauge × gauge on spheres

L. Borsten; I. Jubb; V. Makwana; S. Nagy

doi:10.1007/JHEP06(2020)096

Gauge × gauge on spheres

L. Borsten, I. Jubb, V. Makwana, S. Nagy

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

We introduce a convolution on a 2-sphere and use it to show that the linearised Becchi-Rouet-Stora-Tyutin transformations and gauge fixing conditions of Einstein-Hilbert gravity coupled to a two-form and a scalar field, follow from the product of two Yang-Mills theories. This provides an example of the convolutive product of gauge theories on a non-trivial background. By introducing a time direction the product is shown to extend to the D = 1 + 2 Einstein-static universe.

Original language	English
Article number	96
Journal	Journal of High Energy Physics (JHEP)
Volume	2020
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2020)096
Publication status	Published - 1 Jun 2020

Keywords

BRST Quantization
Gauge Symmetry
Space-Time Symmetries

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10.1007/JHEP06(2020)096

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title = "Gauge × gauge on spheres",

abstract = "We introduce a convolution on a 2-sphere and use it to show that the linearised Becchi-Rouet-Stora-Tyutin transformations and gauge fixing conditions of Einstein-Hilbert gravity coupled to a two-form and a scalar field, follow from the product of two Yang-Mills theories. This provides an example of the convolutive product of gauge theories on a non-trivial background. By introducing a time direction the product is shown to extend to the D = 1 + 2 Einstein-static universe.",

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AU - Borsten, L.

AU - Jubb, I.

AU - Makwana, V.

AU - Nagy, S.

N1 - Funding Information: This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited Publisher Copyright: © 2020, The Author(s).

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N2 - We introduce a convolution on a 2-sphere and use it to show that the linearised Becchi-Rouet-Stora-Tyutin transformations and gauge fixing conditions of Einstein-Hilbert gravity coupled to a two-form and a scalar field, follow from the product of two Yang-Mills theories. This provides an example of the convolutive product of gauge theories on a non-trivial background. By introducing a time direction the product is shown to extend to the D = 1 + 2 Einstein-static universe.

AB - We introduce a convolution on a 2-sphere and use it to show that the linearised Becchi-Rouet-Stora-Tyutin transformations and gauge fixing conditions of Einstein-Hilbert gravity coupled to a two-form and a scalar field, follow from the product of two Yang-Mills theories. This provides an example of the convolutive product of gauge theories on a non-trivial background. By introducing a time direction the product is shown to extend to the D = 1 + 2 Einstein-static universe.

KW - BRST Quantization

KW - Gauge Symmetry

KW - Space-Time Symmetries

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VL - 2020

JO - Journal of High Energy Physics (JHEP)

JF - Journal of High Energy Physics (JHEP)

IS - 6

M1 - 96

ER -

Gauge × gauge on spheres

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Keywords

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