[hep-th] seminar petak 9 april

[Voja Radovanovic]

Zdravo svima, podsecam vas da u petak Marija nastavlja seminar zapocet 
proslog petka. Evo naslova i apstrkata jos jednom.

Naslov:

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

Apstrakt:

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.



Seminar je baziran na radovima:

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.



Seminar pocinje u 11:15 i moze se pratiti preko linka

https://gravityserver.ipb.ac.rs/b/mar-xoo-t1v-vwn
-- 
Voja Radovanovic
University of Belgrade
Faculty of Physics