Gauge × gauge on spheres
L. Borsten, I. Jubb, V. Makwana, S. Nagy
Abstract
A bstract 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.
Topics & Concepts
PhysicsGauge (firearms)Gauge theoryScalar (mathematics)Product (mathematics)BRST quantizationTheoretical physicsSupersymmetric gauge theoryGauge fixingMathematical physicsGauge bosonQuantum gauge theoryIntroduction to gauge theoryHamiltonian lattice gauge theoryGauge anomalyLattice gauge theoryQuantum electrodynamicsClassical mechanicsConvolution (computer science)SPHERESBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum and Classical Electrodynamics