Add to ORKGWe find a consistent formulation of the constraints of quantum gravity with a cosmological constant in terms of the Ashtekar new variables in the connection representation, including the existence of a state that is a solution to all the constraints. This state is related to the Chern-Simons form constructed from the Ashtekar connection and has an associated metric in space-time that is everywhere nondegenerate. We then transform this state to the loop representation and find solutions to all the constraint equations for intersecting loops. These states are given by suitable generalizations of the Jones knot polynomial for the case of intersecting knots. These are the first physical states of quantum gravity for which an explicit form is kn...
We propose a new representation for gauge theories and quantum gravity. Alternatively, it can be vie...
We generalize the braid algebra to the case of loops with intersections. We introduce the Reidemeist...
We describe a deformation of the observable algebra of quantum gravity in which the loop algebra is ...
Solutions to both the diffeomorphism and the hamiltonian constraint of quantum gravity have been fou...
Some time ago it was conjectured that the coefficients of an expansion of the Jones polynomial in te...
In this paper we review the status of several solutions to all the constraints of quantum gravity th...
In the loop representation the quantum constraints of gravity can be solved. This fact allowed signi...
The loop-space representation based on Ashtekars new variables has allowed for the first time the co...
We present an implementation of the loop representation of quantum gravity on a square lattice. Inst...
Following the introduction by Ashtekar of a new set of canonical variables for the gravitational fie...
These notes summarize the lectures delivered in the V Mexican School of Particle Physics, at the Uni...
We propose to interpret the action of the quantum Hamiltonian constraint of general relativity in th...
We show that the second coefficient of the Conway knot polynomial is annihilated by the Hamiltonian ...
In the context of canonical quantum gravity in terms of Ashtekar\u27s new variables, it is known tha...
We study several aspects of the canonical quantization of supergravity in terms of the Ashtekar vari...
We propose a new representation for gauge theories and quantum gravity. Alternatively, it can be vie...
We generalize the braid algebra to the case of loops with intersections. We introduce the Reidemeist...
We describe a deformation of the observable algebra of quantum gravity in which the loop algebra is ...
Solutions to both the diffeomorphism and the hamiltonian constraint of quantum gravity have been fou...
Some time ago it was conjectured that the coefficients of an expansion of the Jones polynomial in te...
In this paper we review the status of several solutions to all the constraints of quantum gravity th...
In the loop representation the quantum constraints of gravity can be solved. This fact allowed signi...
The loop-space representation based on Ashtekars new variables has allowed for the first time the co...
We present an implementation of the loop representation of quantum gravity on a square lattice. Inst...
Following the introduction by Ashtekar of a new set of canonical variables for the gravitational fie...
These notes summarize the lectures delivered in the V Mexican School of Particle Physics, at the Uni...
We propose to interpret the action of the quantum Hamiltonian constraint of general relativity in th...
We show that the second coefficient of the Conway knot polynomial is annihilated by the Hamiltonian ...
In the context of canonical quantum gravity in terms of Ashtekar\u27s new variables, it is known tha...
We study several aspects of the canonical quantization of supergravity in terms of the Ashtekar vari...
We propose a new representation for gauge theories and quantum gravity. Alternatively, it can be vie...
We generalize the braid algebra to the case of loops with intersections. We introduce the Reidemeist...
We describe a deformation of the observable algebra of quantum gravity in which the loop algebra is ...