12 papers
Quantum Liouville theory with heavy charges
Pietro Menotti, Erik Tonni
We develop a general technique for solving the Riemann-Hilbert problem in presence of a number of heavy charges and a small one thus providing the exact Green functions of Liouvill…
Functional approach to (2+1) dimensional gravity
Luigi Cantini, Pietro Menotti
We work out the phase-space functional integral of the gravitational field in 2+1 dimensions interacting with N point particles in an open universe.
Polyakov conjecture and 2+1 dimensional gravity
L. Cantini, P. Menotti, D. Seminara
After briefly reviewing the hamiltonian approach to 2+1 dimensional gravity in absence of matter on closed universes, we consider 2+1 dimensional gravity coupled to point particles…
Polyakov conjecture and 2+1 dimensional gravity coupled to particles
L. Cantini, P. Menotti, D. Seminara
A proof is given of Polyakov conjecture about the auxiliary parameters of the SU(1,1) Riemann-Hilbert problem for general elliptic singularities. Such a result is related to the un…
Hamiltonian structure of 2+1 dimensional gravity
Pietro Menotti
A summary is given of some results and perspectives of the hamiltonian ADM approach to 2+1 dimensional gravity. After recalling the classical results for closed universes in absenc…
Hamiltonian Approach To 2+1 Dimensional Gravity
L. Cantini, P. Menotti, D. Seminara
It is shown that the reduced particle dynamics of 2+1 dimensional gravity in the maximally slicing gauge is of hamiltonian nature. We give the exact diffeomorphism which transforms…