# Abelian Insights on Kinematic Algebras

- Institution: CERN
- Department: Conferences, Workshops & Schools
- Speaker: Chris White
- Year: 2023
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3020205)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Certain non-abelian gauge theories obey so-called BCJ duality, whereby their colour algebra is accompanied by a second algebra involving kinematic degrees of freedom, and which in turn allows amplitudes in such theories to be double-copied to gravity. For special theories in particular gauges, the kinematic algebra can be ascertained exactly, and corresponds to an (infinitely dimensional) Lie algebra. A more complicated mathematical structure is expected in general, such that the nature of kinematic algebras remains deeply mysterious. Open questions include: when are kinematic algebras Lie algebras, and are previous known cases in fact related? Are kinematic algebras gauge-dependent in general? Can we build new theories involving exact kinematic algebras? In this talk, I will shed light on these questions by considering building blocks already present in simpler abelian gauge theories..

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## Lectures

1. [Abelian Insights on Kinematic Algebras](https://invisiblenetwork.ai/learn/cern/3020205/b0fbc9410591), 31 min (CERN's player)