From Gauge Theory to Gravity via Homotopy Algebras
| When |
Mar 14, 2024
from 02:00 to 03:00 |
|---|---|
| Where | amphithéâtre Physique et Chimie |
| Attendees |
Olaf Hohm |
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Jeudi 14 Mars
Title: From Gauge Theory to Gravity via Homotopy Algebras
Olaf Hohm (Université Humboldt, Berlin)
Abstract:
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.