Fetching the paper…
Reading the bibliography…
We show that the Palatini--Cartan--Holst formulation of General Relativity in tetrad variables must be complemented with additional requirements on the fields when boundaries are taken into account for the associated BV theory to induce a compatible BFV theory on the boundary.
1905
Earlier work this paper cites.
A. Palatini, Deduzione invariantiva delle equazioni gravitazionali dal principio di Hamilton
1919
Earlier work this paper cites.
E. Cartan. Sur une généralisation de la notion de courbure de Riemann et les espaces à torsion
1922
Earlier work this paper cites.
P.A.M. Dirac, Generalized Hamiltonian dynamics
1950
Earlier work this paper cites.
I. A. Batalin and G. A. Vilkovisky, Relativistic S-matrix of dynamical systems with boson and fermion costraints , Phys. Lett. B 69
1977
Earlier work this paper cites.
Kijowski, J., Tulczyjew, W. M., A Symplectic Framework for Field Theories , Lecture notes in Physics 107
1979
Earlier work this paper cites.
I. A. Batalin and G. A. Vilkovisky. Gauge algebra and quantization
1981
Earlier work this paper cites.
I. A. Batalin and E. S. Fradkin, A generalized canonical formalism and quantization of reducible gauge theories , Phys. Lett. B 122
1983
Earlier work this paper cites.
L. Baulieu and M. Bellon, p-Forms and Supergravity: gauge symmetries in curved space
1986
Earlier work this paper cites.
M. Atiyah, Topological quantum field theories , Inst. Hautes Etudes Sci. Publ. Math. 68
1988
Earlier work this paper cites.
G. Segal, The definition of conformal field theory , in: Differential geometrical methods in theoretical physics, Springer Netherlands, 165-171 (1988)
1988
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, Quantization of Gauge Systems
1994
Cited alongside, same era.
O. Moritsch, M. Schweda, S. P. Sorella, Algebraic structure of Gravity with Torsion
1994
Cited alongside, same era.
S. Holst, Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action
1996
Cited alongside, same era.
J.Stasheff, Deformation Theory and the Batalin-Vilkovisky Master Equation
1996
Cited alongside, same era.
J. Stasheff, Homological reduction of constrained Poisson algebras
1997
Cited alongside, same era.
C. Rovelli and T. Thiemann, Immirzi parameter in quantum general relativity
1998
Cited alongside, same era.
F. Schaetz, Invariance of the BFV complex
2010
Later among the works it cites.
A. S. Cattaneo. P. Mnev and N. Reshetikin, Classical and Quantum Lagrangian Field Theories with Boundary, Proceedings of the Corfu Summer Institute 2011 School and Workshops on Elementary Particle Physics and Gravity, Corfu, Greece, 2011
2011
Later among the works it cites.
A. S. Cattaneo, P. Mnëv and N. Reshetikhin, Classical BV theories on manifolds with boundary
2014
Later among the works it cites.
G. Felder and D. Kazhdan. The classical master equation
2014
Later among the works it cites.
A. S. Cattaneo, P. Mnëv and N. Reshetikhin, Semiclassical quantization of Lagrangian field theories
2015
Later among the works it cites.
A. S. Cattaneo and M. Schiavina, BV-BFV approach to General Relativity: Einstein–Hibert action
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
O. Piguet, Ghost Equations and Diffeomorphism Invariant Theories
2000
Cited alongside, same era.
D. Roytenberg, AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories
2007
Cited alongside, same era.
2008
Cited alongside, same era.
D. J. Rezende and A. Perez, Four-dimensional Lorentzian Holst action with topological terms
2009
Cited alongside, same era.
F. Schaetz, BFV-complex and higher homotopy structures
2009
Cited alongside, same era.
2015
Later among the works it cites.
M. Schiavina, BV-BFV approach to General Relativity
2016
Later among the works it cites.
A. S. Cattaneo and M. Schiavina, On time
2017
Closest in time.
A. S. Cattaneo, P. Mnëv and N. Reshetikhin, Perturbative quantum gauge theories on manifolds with boundary
2018
Closest in time.
A. S. Cattaneo, M. Schiavina and I. Selliah, BV equivalence between triadic gravity and BF theory in three dimensions
2018
Closest in time.
A. S. Cattaneo and M. Schiavina, The reduced phase space of Palatini–Cartan–Holst theory
2019
Closest in time.