Weekly seminars

From Gauge Theory to Gravity via Homotopy Algebras

par Olaf Hohm (Humboldt-Universität zu Berlin)

Europe/Paris
Auditorium Vivargent (LAPTh)

Auditorium Vivargent

LAPTh

9, chemin de Bellevue ANNECY
Description

I begin with a self-contained introduction to Homotopy algebras, which 
are generalizations of familiar structures such as Lie or associative 
algebras that in physics emerged in string theory but that more recently have 
begun to be recognized as the underlying structure of general classical and
quantum field theories. This framework allows one, in particular, to formulate two deep connections between gauge theories such as Yang-Mills theory and gravity, as a first step toward a first-principle derivation: these are, first, the so-called double copy relations between the scattering amplitudes of gauge theory and of gravity and, second, the holographic or AdS/CFT relation between a gravity theory on AdS and a dual CFT on the boundary.