A worldline path integral model for higher-spin gravity in AdS4 is constructed using twistor actions and double-line vertices, reproducing boundary correlators of free boson and fermion vector models.
Poisson Structure Induced (Topological) Field Theories
7 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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A discrete BF formulation of Carroll dilaton gravity on a lattice yields boundary symmetries that recover the affine Carroll algebra and its conformal reduction in the continuum limit.
Gauged Courant sigma models are constructed as AKSZ sigma models whose consistency requires vanishing curvature and torsion, horizontal anchors, and flux/boundary equations generalizing homotopy momentum sections.
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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Worldline Higher Spin Gravity
A worldline path integral model for higher-spin gravity in AdS4 is constructed using twistor actions and double-line vertices, reproducing boundary correlators of free boson and fermion vector models.
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Holonomies and Boundary Symmetries in the Discrete BF Formulation of Carroll Dilaton Gravity
A discrete BF formulation of Carroll dilaton gravity on a lattice yields boundary symmetries that recover the affine Carroll algebra and its conformal reduction in the continuum limit.
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Gauged Courant sigma models
Gauged Courant sigma models are constructed as AKSZ sigma models whose consistency requires vanishing curvature and torsion, horizontal anchors, and flux/boundary equations generalizing homotopy momentum sections.
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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.
- Dimensional reduction of AdS3 Chern-Simons gravity: Schwarzian and affine boundary theories