Non-AbelianBFtheories with sources and two-dimensional gravity

Non-Perturbative Two-Dimensional Quantum Gravity, Again

Two-Dimensional Dilaton Gravity

I briefly summarize recent results on classical and quantum dilaton gravity in 1+1 dimensions.

Two-Dimensional Quantum Gravity

We show equivalence between the standard weak coupling regime c > 25 of the the two-dimensional quantum gravity and regime h < 1/2 of the original geometric approach of Polyakov [1, 2], developed in [3, 4, 5]. 1 In this letter I shall demonstrate the equivalence of two approaches to the twodimensional quantum gravity. The first approach, called geometric, goes back to Polyakov’s original discov...

Two-Dimensional Dilaton Gravity

Actions for D = 2, N = 2 supergravity coupled to a scalar field are calculated, and it is shown that the most general power-counting renormalizable dilaton gravity action has an N = 2 locally supersymmetric extension. The presence of chiral terms in the action leads one to hope that non-renormalization theorems similar to those in global SUSY will apply; this would eliminate some of the renorma...

Two-Dimensional Quantum Gravity with Boundary

Using the recently found first order formulation of two-dimensional dilaton gravity with boundary, we perform a Hamiltonian analysis and subsequent path integral quantization. The importance of the boundary terms to obtain the correct quantum result are outlined and the quantum triviality of the theory is shown to hold with this modification as well. We compare with recent classical results and...