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Talk31 min

Abelian Insights on Kinematic Algebras

Chris White · CERN

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About

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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The talk

  1. Abelian Insights on Kinematic Algebras 2023-12-15 · 31 min · CERN's player

Credits and licence

Institution
CERN
Department
Conferences, Workshops & Schools
Speaker
Chris White
Year
2023
Language
English
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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