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.
7
Pith papers citing it
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.
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
background 1representative citing papers
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.
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.
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
-
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.
-
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.
-
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.
-
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.
-
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.
-
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.
-
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.