Programme

 Speaker: Prof. Yongge Ma Title: On the Master Constraint Operator for Loop Quantum Gravity Abstract: A Master Constraint Operator $\hat{\mathbf{M}}$ can be densely defined in the diffeomorphism invariant Hilbert space in loop quantum gravity. The corresponding quadratic form coincides with the one proposed by Thiemann in the master constraint programme. It is shown that $\hat{\mathbf{M}}$ is positive and symmetric, and hence has its Friedrichs self-adjoint extension. So the master constraint programme for loop quantum gravity can be carried out in principle by employing $\hat{\mathbf{M}}$. Talk: Transparencies, Recorded Talk