Edge Dynamics for BF Theories and Gravity

Abstract

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. Possible connection with the membrane approach is also discussed.

Revised version, 16 pages, eqs. corrected and refs. added

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• Perturbative BF theory
• Linear constraints from generally covariant systems with quadratic constraints
• Novel Edge States in Self-Dual Gravity
• The Polyakov loop dependence of bulk viscosity of QCD matter
• The dynamics on the three-dimensional boundary of the 4D Topological BF model