У оквиру семинара Групе за гравитацију, честице и поља Института за физику у Београду, у петак, 19. маја 2023. године у 11 часова на Институту за физику у Београду, проф. Владислав Купријанов (Федерални универзитет АБЦ, Сао Пауло) одржаће предавање:
Homotopy algebras, symplectic embeddings and noncommutative gauge theory
САЖЕТАК:
The problem of the consistent definition of noncommutative gauge theory on spaces with non-constant noncommutativity parameters has attracted the attention of theoretical physicists and mathematicians for
more than two decades. Nevertheless, this theory is still not completely understood in full generality. In recent years we have formulated two new approaches to consistent non-commutative and non-associative deformations of gauge theory. The first one employs the framework of homotopy algebras and is a powerful tool for the construction of order by order noncommutative deformation. The second approach makes use of the elements from the symplectic geometry and is better adapted for obtaining the explicit all-order expressions. Several interesting results have been obtained and published in this direction. In this talk I will briefly describe the two approaches and discuss the recent progress in noncommutative gauge theories.