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V. G. Kupriyanov, “Noncommutative deformation of Chern-Simons theory,” Eur. Phys. J. C 80
Original
1905
Earlier work this paper cites.
F. A. Berends, G. J. H. Burgers and H. van Dam, “On the theoretical problems in constructing interactions involving higher spin massless particles,” Nucl. Phys. B 260
1985
Earlier work this paper cites.
E. Witten, “ ( 2 + 1 ) (2+1) -dimensional gravity as an exactly soluble system,” Nucl. Phys. B 311
1988
Earlier work this paper cites.
B. Zwiebach, “Closed string field theory: Quantum action and the BV master equation,” Nucl. Phys. B 390
1993
Earlier work this paper cites.
T. Lada and J. Stasheff, “Introduction to sh Lie algebras for physicists,” Int. J. Theor. Phys. 32
1993
Earlier work this paper cites.
S. Majid, Foundations of Quantum Group Theory (Cambridge University Press, 1995)
1995
Earlier work this paper cites.
A. H. Chamseddine, “Deforming Einstein’s gravity,” Phys. Lett. B 504
2001
Earlier work this paper cites.
R. Oeckl, “Braided quantum field theory,” Commun. Math. Phys 217
2001
Earlier work this paper cites.
M. Dimitrijević Ćirić, G. Giotopoulos, V. Radovanović and R. J. Szabo, “ L ∞ L_{\infty} -algebras of Einstein-Cartan-Palatini gravity,” arXiv:2003.06173 [hep-th]
Original
2003
Earlier work this paper cites.
M. A. Cardella and D. Zanon, “Noncommutative deformation of four-dimensional Einstein gravity,” Class. Quant. Grav. 20
2003
Earlier work this paper cites.

Similar

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Then

P. Aschieri and R. J. Szabo, “Triproducts, nonassociative star products and geometry of R R -flux string compactifications,” J. Phys. Conf. Ser. 634
Original
2015
Later among the works it cites.
G. E. Barnes, A. Schenkel and R. J. Szabo, “Nonassociative geometry in quasi-Hopf representation categories I: Bimodules and their internal homomorphisms,” J. Geom. Phys. 89
Original
2015
Later among the works it cites.
R. Blumenhagen and M. Fuchs, “Towards a theory of nonassociative gravity,” JHEP 1607
Original
2016
Later among the works it cites.
G. E. Barnes, A. Schenkel and R. J. Szabo, “Nonassociative geometry in quasi-Hopf representation categories II: Connections and curvature,” J. Geom. Phys. 106
Original
2016
Later among the works it cites.
G. E. Barnes, A. Schenkel and R. J. Szabo, “Working with nonassociative geometry and field theory,” Proc. Sci. 263

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2020

Homotopy Lie Algebras of Gravity and their Braided Deformations

Ćirić, Marija Dimitrijević, Giotopoulos, Grigorios, Radovanović, Voja et al.

Understand

We describe the cyclic $L_{\infty}$-algebra formulation of classical general relativity without matter fields in the Einstein-Cartan-Palatini formalism.

Using Drinfel'd twist deformation techniques, we define a noncommutative version of the theory with braided gauge symmetries.
We introduce a notion of braided $L_{\infty}$-algebra, and use it to encode the symmetries, field content, field equations and Noether identities of noncommutative gravity.

Built on

V. G. Kupriyanov, “Noncommutative deformation of Chern-Simons theory,” Eur. Phys. J. C 80
Original
1905
Earlier work this paper cites.
F. A. Berends, G. J. H. Burgers and H. van Dam, “On the theoretical problems in constructing interactions involving higher spin massless particles,” Nucl. Phys. B 260
1985
Earlier work this paper cites.
E. Witten, “ ( 2 + 1 ) (2+1) -dimensional gravity as an exactly soluble system,” Nucl. Phys. B 311
1988
Earlier work this paper cites.
B. Zwiebach, “Closed string field theory: Quantum action and the BV master equation,” Nucl. Phys. B 390
1993
Earlier work this paper cites.
T. Lada and J. Stasheff, “Introduction to sh Lie algebras for physicists,” Int. J. Theor. Phys. 32
1993
Earlier work this paper cites.
S. Majid, Foundations of Quantum Group Theory (Cambridge University Press, 1995)
1995
Earlier work this paper cites.
A. H. Chamseddine, “Deforming Einstein’s gravity,” Phys. Lett. B 504
2001
Earlier work this paper cites.
R. Oeckl, “Braided quantum field theory,” Commun. Math. Phys 217
2001
Earlier work this paper cites.
M. Dimitrijević Ćirić, G. Giotopoulos, V. Radovanović and R. J. Szabo, “ L ∞ L_{\infty} -algebras of Einstein-Cartan-Palatini gravity,” arXiv:2003.06173 [hep-th]
Original
2003
Earlier work this paper cites.
M. A. Cardella and D. Zanon, “Noncommutative deformation of four-dimensional Einstein gravity,” Class. Quant. Grav. 20
2003
Earlier work this paper cites.