Geometrical setting for the correspondence between gravity and\n Chern-Simons field theories

2020/04/22 by Santiago Capriotti, Capriotti, Santiago
Mathematics · Physics and Astronomy · #70S15 #83C05 #83C80 #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2004.10785

openalex publication_date 2020/04/22 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In the present article, Chern-Simons gauge theory and its relationship with\ngravity are revisited from a geometrical viewpoint. In this setting, our goals\nare twofold: In one hand, to show how to represent the family of variational\nproblems for Chern-Simons theory in the set of K-structures on the space-time\nM, by means of a unique variational problem of Griffiths type. On the other\nhand, to make an interpretation of the correspondence of these theories in\nterms of the correspondence between the frame bundle and its affine\ncounterpart.\n

Citations

• On Transgression Forms and Chern--Simons (Super)gravity

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