Topological gravity from Chern-Simons gauge theory
Published on:
25 April 2024
Primary Category:
High Energy Physics - Theory
Paper Authors:
Roberto Bonezzi,
Felipe Diaz-Jaramillo,
Olaf Hohm
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Key Details
Applies 'double copy' of Chern-Simons theory to derive 3D topological gravity
Gravity theory has metric fluctuation and two 2-forms, is gauge invariant
Theory is local but has no Lagrangian; this can be fixed by giving up locality
Truncating content yields 3D slice of 6D Kodaira-Spencer gravity
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AI generated summary
Topological gravity from Chern-Simons gauge theory
This paper applies a mathematical technique called 'double copy' to construct a novel topological gravity theory in 3 dimensions, starting from Chern-Simons gauge theory. The resulting gravity theory features a metric fluctuation and two 2-form fields, is gauge-invariant and local, but non-Lagrangian. An action can be constructed by giving up locality. The theory is also related to 6-dimensional Kodaira-Spencer gravity. Overall, this gives an explicit gravitational theory from the double copy of a gauge theory.
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