Quantization of the gauge coupling constant in a five-dimensional Yang-Mills-Einstein supergravity theory

Mathematics

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Gauge Theory, Gravitation Theory, Supergravity, Unified Field Theory, Yang-Mills Theory, Quantum Theory, Transformations (Mathematics), Unified Field Theories And Models, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

The five-dimensional (d = 5) Yang-Mills-Einstein supergravity with noncompact gauge group SU (3,1) is constructed. This model is a unified theory in the sense that there is a symmetry connecting each field to all the others, and it is the unique d = 5 Yang-Mills-Einstein supergravity theory with this property. It is shown that consistency of the quantum theory requires the dimensionless product of gravitational constant and gauge coupling constant to be quantized.

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