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Quantum Geometry and Black Hole Entropy
A. Ashtekar, J. Baez, A. Corichi +1
A `black hole sector' of non-perturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theor…
Spin Foam Models
John C. Baez
While the use of spin networks has greatly improved our understanding of the kinematical aspects of quantum gravity, the dynamical aspects remain obscure. To address this problem,…
Diffeomorphism-Invariant Spin Network States
John C. Baez, Stephen Sawin
We extend the theory of diffeomorphism-invariant spin network states from the real-analytic category to the smooth category. Suppose that G is a compact connected semisimple Lie gr…
An Introduction to n-Categories
John C. Baez
An n-category is some sort of algebraic structure consisting of objects, morphisms between objects, 2-morphisms between morphisms, and so on up to n-morphisms, together with variou…
Quantization of Diffeomorphism-Invariant Theories with Fermions
John C. Baez, Kirill V. Krasnov
We extend ideas developed for the loop representation of quantum gravity to diffeomorphism-invariant gauge theories coupled to fermions. Let P -> Sigma be a principal G-bundle over…
Degenerate Solutions of General Relativity from Topological Field Theory
John C. Baez
Working in the Palatini formalism, we describe a procedure for constructing degenerate solutions of general relativity on 4-manifold M from certain solutions of 2-dimensional BF th…