Gauge $\times$ Gauge on Spheres

Autor: Borsten, L., Jubb, I, Makwana, V., Nagy, S.
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP06(2020)096
Popis: 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.
Comment: 24 pages
Databáze: arXiv