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Gravity Coupled with Scalar, SU$(n)$, and Spinor Fields on Manifolds with Null-Boundary
Published 17 Jan 2024 in math-ph, hep-th, math.DG, math.MP, and math.SG | (2401.09337v5)
Abstract: In this paper, we present a theory for gravity coupled with scalar, SU$(n)$ and spinor fields on manifolds with null-boundary. We perform the symplectic reduction of the space of boundary fields and give the constraints of the theory in terms of local functionals of boundary vielbein and connection. For the three different couplings, the analysis of the constraint algebra shows that the set of constraints does not form a first class system.
- G. Canepa “General Relativity on Stratified Manifolds in the BV-BFV Formalism” In PhD Thesis, 2021 DOI: http://user.math.uzh.ch/cattaneo/theses.html
- Giovanni Canepa, Alberto S. Cattaneo and Filippo Fila-Robattino “Boundary structure of gauge and matter fields coupled to gravity”, 2022 arXiv:2206.14680 [math-ph]
- “Boundary structure of the standard model coupled to gravity”, 2023 arXiv:2307.14955 [math-ph]
- Giovanni Canepa, Alberto S. Cattaneo and Michele Schiavina “Boundary structure of general relativity in tetrad variables” In Adv. Theor. Math. Phys. 25.2, 2021, pp. 327–377 DOI: 10.4310/ATMP.2021.v25.n2.a3
- Giovanni Canepa, Alberto S. Cattaneo and Manuel Tecchiolli “Gravitational Constraints on a Lightlike Boundary” In Annales Henri Poincare 22.9, 2021, pp. 3149–3198 DOI: 10.1007/s00023-021-01038-z
- Alberto S. Cattaneo “Phase space for gravity with boundaries”, 2023 arXiv:2307.04666 [math-ph]
- Alberto S. Cattaneo, Pavel Mnev and Nicolai Reshetikhin “Classical BV Theories on Manifolds with Boundary” In Communications in Mathematical Physics 332.2, 2014, pp. 535–603 DOI: 10.1007/s00220-014-2145-3
- Alberto S. Cattaneo, Pavel Mnev and Nicolai Reshetikhin “Perturbative Quantum Gauge Theories on Manifolds with Boundary” In Communications in Mathematical Physics 357.2, 2018, pp. 631–730 DOI: 10.1007/s00220-017-3031-6
- Alberto S. Cattaneo and Michele Schiavina “BV-BFV approach to General Relativity: Palatini–Cartan–Holst action” In Adv. Theor. Math. Phys. 23.8, 2019, pp. 2025–2059 DOI: 10.4310/ATMP.2019.v23.n8.a3
- Alberto S. Cattaneo and Michele Schiavina “The reduced phase space of Palatini-Cartan-Holst theory” In Annales Henri Poincare 20.2, 2019, pp. 445–480 DOI: 10.1007/s00023-018-0733-z
- P. Dirac “Generalized Hamiltonian Dynamics” In Canadian Journal of Mathematics, 1950, pp. 4129–4148
- P.A.M. Dirac “Generalized Hamiltonian Dynamics” In Proceedings of the Royal Society of London. Series A, Math. and Phys. Sciences 246.1246 The Royal Society, 1958, pp. 326–332
- L. Fatibene “Relativistic Theories, Gravitational Theories and General Relativity”, 2018 URL: http://www.fatibene.org/book.html
- “Quantization of gauge systems”, 1992
- “A Symplectic Framework for Field Theories” In Lect. Notes Phys. 107, 1979
- Manuel Tecchiolli “Algebra of Constraints for the Linearized Palatini-Cartan Theory on a Light-Like Boundary” Master thesis, 2019 URL: http://user.math.uzh.ch/cattaneo/tecchiolli.pdf
- Manuel Tecchiolli “On the Mathematics of Coframe Formalism and Einstein–Cartan Theory—A Brief Review” In Universe 5.10 MDPI AG, 2019, pp. 206 DOI: 10.3390/universe5100206
- Thomas Thiemann “Modern Canonical Quantum General Relativity”, Cambridge Monographs on Mathematical Physics Cambridge University Press, 2007 DOI: 10.1017/CBO9780511755682
- Konstantin Wernli “Lecture Notes on Spin Geometry”, 2019 arXiv:1911.09766 [math.DG]
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