Scalar and tensorial topological matter coupled to (2+1)-dimensional gravity:A.Classical theory and global charges

Abstract

We consider the coupling of scalar topological matter to (2+1)-dimensional gravity. The matter fields consist of a 0-form scalar field and a 2-form tensor field. We carry out a canonical analysis of the classical theory, investigating its sectors and solutions. We show that the model admits both BTZ-like black-hole solutions and homogeneous/inhomogeneous FRW cosmological solutions.We also investigate the global charges associated with the model and show that the algebra of charges is the extension of the Kac-Moody algebra for the field-rigid gauge charges, and the Virasoro algebrafor the diffeomorphism charges. Finally, we show that the model can be written as a generalized Chern-Simons theory, opening the perspective for its formulation as a generalized higher gauge theory.

arXiv comment40 pages

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Cited by in corpus (3)

• Topological Higher Gauge Theory - from BF to BFCG theory
• Notes on the Area Theorem
• Higher Gauge Theory and Gravity in (2+1) Dimensions