Constraints, gauge symmetries, and noncommutative gravity in two dimensions
arXiv:hep-th/0502120 · doi:10.1007/s11232-006-0089-2
Abstract
After an introduction into the subject we show how one constructs a canonical formalism in space-time noncommutative theories which allows to define the notion of first-class constraints and to analyse gauge symmetries. We use this formalism to perform a noncommutative deformation of two-dimensional string gravity (also known as Witten black hole).
Based on lectures given at IFSAP-2004 (St.Petersburg), to be submitted to Theor. Math. Phys., dedicated to Yu.V.Novozhilov on the occasion of his 80th birthday
References in corpus (32)
- Noncommutative Field Theory
- Noncommutative Perturbative Dynamics
- Heat kernel expansion: user's manual
- On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
- Space-Time Noncommutative Field Theories And Unitarity
- Dilaton Gravity in Two Dimensions
- Space/Time Non-Commutativity and Causality
- On the unitarity problem in space/time noncommutative theories
- Non-existence of a dilaton gravity action for the exact string black hole
- Two-Loop Diagrams in Noncommutative theory
- Hamiltonian Formalism for Space-time Non-commutative Theories
- Remarks on Time-Space Noncommutative Field Theories
- Exact Path Integral Quantization of Generic 2-D Dilaton Gravity
- Convergence Theorem for Non-commutative Feynman Graphs and Renormalization
- Covariant Coordinate Transformations on Noncommutative Space
- Unitary Quantum Physics with Time-Space Noncommutativity
- Geometric Interpretation and Classification of Global Solutions in Generalized Dilaton Gravity
- Renormalisation of ϕ^4-theory on noncommutative R^4 to all orders
- Noncommutative Gravity in two Dimensions
- Non-commutative heat kernel
- Hermitian Analyticity, IR/UV Mixing and Unitarity of Noncommutative Field Theories
- Quantum noncommutative gravity in two dimensions
- Integrating Geometry in General 2D Dilaton Gravity with Matter
- Path Integral for Space-time Noncommutative Field Theory
- The energy-momentum tensor on noncommutative spaces - some pedagogical comments
- Trouble with space-like noncommutative field theory
- An action for the exact string black hole
- Space-time non-commutativity tends to create bound states
- Gauged Noncommutative Wess-Zumino-Witten Models
- Violation of Remaining Lorentz Symmetry in the Approach of Time-Ordered Perturbation Theory to Space-Time Noncommutativity
- Canonical analysis of space-time noncommutative theories and gauge symmetries
- Noncommutative 2-Dimensional Models of Gravity