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General Form of Dilaton Gravity and Nonlinear Gauge Theory

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arxiv hep-th/9304012 v1 pith:OOKX5EQY submitted 1993-04-05 hep-th

classification hep-th
keywords nonlineartheorydilatonformgaugegeneralgravityalgebra
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We construct a gauge theory based on general nonlinear Lie algebras. The generic form of `dilaton' gravity is derived from nonlinear Poincar{\' e} algebra, which exhibits a gauge-theoretical origin of the non-geometric scalar field in two-dimensional gravitation theory.

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Cited by 4 Pith papers

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  1. Minimal Factorization of Chern-Simons Theory -- Gravitational Anyonic Edge Modes

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    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 entr...

  2. Sine-dilaton gravity vs double-scaled SYK: exploring one-loop quantum corrections

    hep-th 2024-11 conditional novelty 6.0 of 10

    The one-loop gravitational path integral of sine-dilaton gravity reproduces the one-loop corrections of double-scaled SYK for the free energy (up to an ordering ambiguity) and exactly for the matter two-point function.

  3. Hamilton Lie algebroids over Dirac structures and sigma models

    math.DG 2023-09 unverdicted novelty 6.0 of 10

    Introduces Hamiltonian Lie algebroids over Dirac structures as a generalization and applies them to construct gauged Poisson and Dirac sigma models.

  4. M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds

    math.QA 2019-08 conditional novelty 6.0 of 10

    For every d at least 2, the full Kontsevich graph complex maps injectively into the Chevalley-Eilenberg complex of the n=d-1 Schouten algebra, so its zeroth cohomology acts via L-infinity automorphisms on graded sympl...

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