Speaker
Ján Pulmann
(MFF UK Praha)
Description
Loop homotopy Lie algebras, which appear in closed string field theory, are a
generalization of homotopy Lie algebras. For a loop homotopy Lie algebra, we transfer
its structure on its homology and prove that the transferred structure is again a loop
homotopy algebra. Moreover, we show that the homological perturbation lemma can be
regarded as a path integral, integrating out the degrees of freedom which are not in the
homology. The transferred action then can be interpreted as an effective action in the
Batalin-Vilkovisky formalism.
A review of necessary results from Batalin-Vilkovisky
formalism and homotopy algebras is included as well.
(the work is a part of master thesis)
| Sekce | Teoretická fyzika |
|---|
Primary author
Ján Pulmann
(MFF UK Praha)
Co-authors
Dr
Branislav Jurčo
(MUUK, MFF UK Praha)
Dr
Martin Doubek
(MUUK, MFF UK Praha)
