BF Description of Higher-Dimensional Gravity Theories

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dc.creatorFreidel, L.
dc.creatorKrasnov, K.
dc.creatorPuzio, R.
dc.date1999-01-17
dc.date1999-07-25
dc.date.accessioned2026-07-07T04:25:52Z
dc.date.available2026-07-07T04:25:52Z
dc.descriptionIt is well known that, in the first-order formalism, pure three-dimensional gravity is just the BF theory. Similarly, four-dimensional general relativity can be formulated as BF theory with an additional constraint term added to the Lagrangian. In this paper we show that the same is true also for higher-dimensional Einstein gravity: in any dimension gravity can be described as a constrained BF theory. Moreover, in any dimension these constraints are quadratic in the B field. After describing in details the structure of these constraints, we scketch the ``spin foam'' quantization of these theories, which proves to be quite similar to the spin foam quantization of general relativity in three and four dimensions. In particular, in any dimension, we solve the quantum constraints and find the so-called simple representations and intertwiners. These exhibit a simple and beautiful structure that is common to all dimensions.
dc.description26 pages, Revtex; minor changes
dc.identifierhttps://arxiv.org/abs/hep-th/9901069
dc.identifierhttp://arxiv.org/abs/hep-th/9901069
dc.identifierAdv.Theor.Math.Phys. 3 (1999) 1289-1324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55902
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleBF Description of Higher-Dimensional Gravity Theories
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