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8 papers · 1 filter
Monte Carlo Simulations of 2-Dimensional Quantum Gravity Coupled to Matter
T. Filk, M. Marcu, B. Scheffold
We present results of a high precision Monte Carlo simulation of dynamically triangulated random surfaces (up to 34,000 triangles) coupled to one scalar field (). Th…
The Algebra of the Energy-Momentum Tensor and the Noether Currents in Classical Non-Linear Sigma Models
M. Forger, J. Laartz, U. Schaeper
The recently derived current algebra of classical non-linear sigma models on arbitrary Riemannian manifolds is extended to include the energy-momentum tensor. It is found that in t…
Hilbert space cocycles as representations of D current algebras
Jouko Mickelsson
It is proposed that instead of normal representations one should look at cocycles of group extensions valued in certain groups of unitary operators acting in a Hilbert space (e.g t…
Current Algebra of WZNW Models at and away from Criticality
E. Abdalla, M. Forger
We derive the current algebra of principal chiral models with a Wess-Zumino term. At the critical coupling where the model becomes conformally invariant (Wess-Zumino-Novikov-Witten…
The Extension Structure of 2D Massive Current Algebras
J. Laartz
The extension structure of the 2-dimensional current algebra of non-linear sigma models is analysed by introducing Kostant Sternberg systems. It is found that the algebra o…
No-Boundary Theta-Sectors in Spatially Flat Quantum Cosmology
Domenico Giulini, Jorma Louko
Gravitational theta-sectors are investigated in spatially locally homogeneous cosmological models with flat closed spatial surfaces in 2+1 and 3+1 spacetime dimensions. The metric…