Seminario de Branislav Jurco (Charles University, Praga)

"QUANTUM L-INFINITY ALGEBRAS,
BATALIN-VILKOVISKY QUANTIZATION AND
THE  HOMOLOGICAL PERTURBATION LEMMA?"

Branislav Jurco
(Charles University, Praga)

Abstract:

Quantum homotopy Lie algebras are a generalization of homotopy Lie
algebras with a scalar product and with operations corresponding
to higher genus graphs.  We construct a minimal model of a given quantum homtopy

Lie algebra via the homological perturbation lemma, and show that it
is given by a  Feynman diagram expansion, computing the effective
action in the finite- dimensional Batalin-Vilkovisky formalism.

We also construct a homotopy between the original homotopy Lie algebra
and this effective quantum homotopy Lie algebra.


Fecha: Jueves 20 de septiembre de 2018
Hora:   12:10
Lugar: Seminario de Física Teórica