[phys4phys] Group for Gravitation, Particle and Fields on-line seminar, Friday, 9 April 2021

[Voja Radovanovic]

Dear colleagues,

we remind you that on Friday, 9 April 2021 Marija Dimitrijevic Ciric 
(Faculty of Physics, University of Belgrade) continues her seminar on 
braided deformation of field theory and noncommutative gravity. The 
seminar begins at 11:15 and it can be followed via the BigBlueButton 
platform (link is given below)

For convenience, we repeat the title and abstract of the talk once 
again.


Title: Application of L-infinity Algebras: Braided Deformation of Field 
Theory and Noncommutative Gravity

Abstract: In this talk, we discuss a possibility to apply the L-infinity 
algebra formalism in the construction of field theories and gravity on 
noncommutative spaces. To do this we have to introduce a new homotopy 
algebraic structure, that we call a braided $L_\infty$-algebra. Then we 
use the braided $L_\infty$-algebra to systematically construct a new 
class of noncommutative field theories, that we call braided field 
theories. Braided field theories have gauge symmetries which realize a 
braided Lie algebra, whose Noether identities are inhomogeneous 
extensions of the classical identities, and which do not act (in a 
standard/obvious way) on the solutions of the field equations.

In the first talk, we will motivate the introduction of braided gauge 
field theories and we will repeat the basics of the twist deformation 
formalism introduced by Drinfeld in 1985.

In the second talk, we will define braided gauge theories and discuss 
how they fit in the braided L-infinity algebra formalism. Finally, we 
will present two examples: braided Chern-Simons theory and braided 
Einstein-Cartan-Palatini 4D gravity.


The seminar is based on:

MDC, G. Giotopoulos, V. Radovanovic, R. J. Szabo, $L_\infty$-Algebras of
Einstein-Cartan-Palatini Gravity, JMP  61, 112502 (2020),  arXiv: 
2003.06173.

MDC, G. Giotopoulos, V. Radovanovic, R. J. Szabo, {\it Braided 
$L_\infty$-Algebras, Braided Field Theory and Noncommutative Gravity}, 
arXiv:2103.08939.

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Time: April 9, 2021 11:15 Belgrade

https://gravityserver.ipb.ac.rs/b/mar-xoo-t1v-vwn

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Best regards,

Voja Radovanovic
-- 
Voja Radovanovic
University of Belgrade
Faculty of Physics