Symmetry reduction of 3D AdS Chern-Simons gravity on toroidal boundary yields two inequivalent 1D boundary theories: standard Schwarzian and affine-deformed Schwarzian with Kac-Moody extensions.
Poisson Structure Induced (Topological) Field Theories
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
A class of two dimensional field theories, based on (generically degenerate) Poisson structures and generalizing gravity-Yang-Mills systems, is presented. Locally, the solutions of the classical equations of motion are given. A general scheme for the quantization of the models in a Hamiltonian formulation is found.
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Gauged Courant sigma models extend Courant sigma models by adding gauge symmetries from Lie algebroids and Courant algebroids, with consistency ensured by flatness conditions on target-space curvatures and torsions.
Minimal edge modes compatible with Chern-Simons topological invariance are proposed as quantum group particles, yielding a factorization of 3d gravity state space that matches proposals linking Bekenstein-Hawking entropy to topological entanglement entropy.
Introduces Hamiltonian Lie algebroids over Dirac structures as a generalization and applies them to construct gauged Poisson and Dirac sigma models.
The paper summarizes BV formalism using Q- and QP-manifolds and constructs BV action functionals from the geometry of Lie algebroids and Courant algebroids.
citing papers explorer
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Dimensional reduction of AdS3 Chern-Simons gravity: Schwarzian and affine boundary theories
Symmetry reduction of 3D AdS Chern-Simons gravity on toroidal boundary yields two inequivalent 1D boundary theories: standard Schwarzian and affine-deformed Schwarzian with Kac-Moody extensions.
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Gauged Courant sigma models
Gauged Courant sigma models extend Courant sigma models by adding gauge symmetries from Lie algebroids and Courant algebroids, with consistency ensured by flatness conditions on target-space curvatures and torsions.
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Minimal Factorization of Chern-Simons Theory -- Gravitational Anyonic Edge Modes
Minimal edge modes compatible with Chern-Simons topological invariance are proposed as quantum group particles, yielding a factorization of 3d gravity state space that matches proposals linking Bekenstein-Hawking entropy to topological entanglement entropy.
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Hamilton Lie algebroids over Dirac structures and sigma models
Introduces Hamiltonian Lie algebroids over Dirac structures as a generalization and applies them to construct gauged Poisson and Dirac sigma models.
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Q-Manifolds and Sigma Models
The paper summarizes BV formalism using Q- and QP-manifolds and constructs BV action functionals from the geometry of Lie algebroids and Courant algebroids.