[phys4phys] Group for Gravitation, Particle and Fields on-line seminar, Friday, 2 April 2021

[Voja Radovanovic]

Dear colleagues,

You are cordially invited to the online seminar of the Group for 
Gravitation, Particles and Fields, which will be held  on Friday, 2 
April 2021 at 11:15 via the BigBlueButton platform (link is given 
below).


The talk entitled

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


will be given by Marija Dimitrijevic Ciric (Faculty of Physics, 
University of Belgrade).

Abstract: In this talk we discuss a possibility to apply the L-infinity 
algebra formalism in 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-inifinity algebra formalism. Finally, we will 
present two examples: braided Chern-Simons theory and braided 
Einstein-Cartan-Palatini 4D gravity.


The seminar is based on:

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

M.Dimitrijevic Ciric, 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 2, 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