20–24 Sept 2021
Online
Europe/Prague timezone

L-infinity Algebras, Homotopy Transfer and Field Theory (Lecture 3 of 3)

21 Sept 2021, 15:10
1h
Online

Online

Speaker

Olaf Hohm

Description

I give a self-contained introduction into L-infinity algebras, the formulation of classical field theories in terms of these, and the
notion of homotopy transfer. One goal is to make it self-evident that L-infinity structures are the proper algebraic way to encode the data of classical field theories. In other words, any consistent field theory gives rise to an L-infinity algebra. A second goal is to illustrate that homotopy transfer is the algebraic formulation of the field theory procedure to ``integrate out" degrees of freedom, which may be auxiliary or physical, pure gauge or not.

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