TY - JOUR
T1 - Homotopy lie algebras of gravity and their braided deformations
AU - Ćirić, Marija Dimitrijević
AU - Giotopoulos, Grigorios
AU - Radovanović, Voja
AU - Szabo, Richard J.
N1 - Funding Information:
Acknowledgments. We thank the organisors of the Corfu Summer Institute 2019 for the stimulating meeting and the opportunity to present the preliminary results of our work. The work of M.D.C. and V.R. is supported by Project ON171031 of the Serbian Ministry of Education, Science and Technological Development. The work of G.G. is supported by a Doctoral Training Grant from the UK Engineering and Physical Sciences Research Council. The work of R.J.S. was supported by the Consolidated Grant ST/P000363/1 from the UK Science and Technology Facilities Council.
Publisher Copyright:
© 2019 Sissa Medialab Srl. All rights reserved.
PY - 2020/8/18
Y1 - 2020/8/18
N2 - We describe the cyclic L∞-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∞-algebra, and use it to encode the symmetries, field content, field equations and Noether identities of noncommutative gravity.
AB - We describe the cyclic L∞-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∞-algebra, and use it to encode the symmetries, field content, field equations and Noether identities of noncommutative gravity.
UR - http://www.scopus.com/inward/record.url?scp=85091648036&partnerID=8YFLogxK
U2 - 10.22323/1.376.0198
DO - 10.22323/1.376.0198
M3 - Conference article
AN - SCOPUS:85091648036
SN - 1824-8039
VL - 376
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 198
T2 - Corfu Summer Institute 2019
Y2 - 25 September 2019 through 29 September 2019
ER -