منابع مشابه
4-dimensional BF Gravity on the Lattice
We propose the lattice version of BF gravity action whose partition function leads to the product of a particular form of 15-j symbol which corresponds to a 4-simplex. The action is explicitly constructed by lattice B field defined on triangles and link variables defined on dual links and is shown to be invariant under lattice local Lorentz transformation and Kalb-Ramond gauge transformation. W...
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We discuss BF theories defined on manifolds with spatial boundaries. Variational arguments show that one needs to augment the usual action with a boundary term for specific types of boundary conditions. We also show how to use this procedure to find the boundary actions for theories of gravity with first order formulations.
متن کاملGravity as Bf Theory plus Potential
Spin foam models of quantum gravity are based on Plebański’s formulation of general relativity as a constrained BF theory. We give an alternative formulation of gravity as BF theory plus a certain potential term for the B-field. When the potential is taken to be infinitely steep one recovers general relativity. For a generic potential the theory still describes gravity in that it propagates jus...
متن کاملOn the Relations between Gravity and BF Theories
We review, in the light of recent developments, the existing relations between gravity and topological BF theories at the classical level. We include the Plebanski action in both self-dual and non-chiral formulations, their generalizations, and the MacDowell– Mansouri action.
متن کاملAnti de Sitter Gravity from BF-Chern-Simons-Higgs Theories
It is shown that an action inspired from a BF and Chern-Simons model, based on the AdS4 isometry group SO(3, 2), with the inclusion of a Higgs potential term, furnishes the MacDowell-MansouriChamseddine-West action for gravity, with a Gauss-Bonnet and cosmological constant term. The AdS4 space is a natural vacuum of the theory. Using Vasiliev’s procedure to construct higher spin massless fields...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2016
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/33/21/213001