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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:C21001 - Octonions and the Standard ModelPODCAST Subscribe to podcast

Octonions and the Standard Model

Organizer(s): Latham Boyle   Kirill Krasnov  

Collection URL: http://pirsa.org/C21001


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PIRSA:21020016  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Welcome and Opening Remarks
Speaker(s): Kirill Krasnov
Abstract:
Date: 08/02/2021 - 12:00 pm

PIRSA:21020008  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Finite quantum geometry, octonions and the theory of fundamental particles.
Abstract: We will describe an approach to the theory of fundamental particlesbased on finite-dimensional quantum algebras of observables. We will explain why the unimodularity of the color group suggests an interpretation of the quarklepton symmetry which involves the octonions and leads to the quantum spaces... read more
Date: 08/02/2021 - 12:05 pm

PIRSA:21020009  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Supersymmetry and RCHO revisited
Speaker(s): Paul Townsend
Abstract: Various links between supersymmetry and the normed division algebras R,C,H,O were found in the 1980s. This talk will focus on the link between K=R,C,H,0 and supersymmetric field theories in a Minkowski spacetime of dimension D=3,4,6,10. The first half will survey the history starting with a 194... read more
Date: 15/02/2021 - 12:00 pm

PIRSA:21020010  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Spin (8,9,10), Octonions and the Standard Model
Speaker(s): Kirill Krasnov
Abstract: "I will start by explaining how the (Weyl) spinor representations of the pseudo-orthogonal group Spin(2r+s,s) are the spaces of even and odd polyforms on Cr x Rs. Then, the triality identifies the Majorana-Weyl spinors of Spin(8) with octonions. Combining the two constructions one finds that the gro... read more
Date: 22/02/2021 - 12:00 pm

PIRSA:21030011  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Gravity as the square of gauge theory
Speaker(s): Leron Borsten
Abstract: Can gravity, in certain regards, be the `product' of two gauge theories, such as those appearing in the Standard Model? I will begin by reviewing the Bern—Carrasco—Johansson colour—kinematics duality conjecture, which implies that one can write the scattering amplitudes of Einstein-Hilbert gra... read more
Date: 01/03/2021 - 12:00 pm

PIRSA:21030012  ( MP4 Medium Res , MP3 , PDF ) Which Format?
A Magic Pyramid of Supergravity Theories from Yang-Mills Squared
Speaker(s): Mia Hughes
Abstract: "I will begin by reviewing the unified description of pure Super Yang-Mills (SYM) Theory (consisting of just a gauge field and gaugino) in dimensions 3, 4, 6, and 10 over the four normed division algebras R, C, H, and O. Dimensionally reducing these initial theories into dimensions 3, 4, 5, 6, 7, 8,... read more
Date: 08/03/2021 - 12:00 pm

PIRSA:21030013  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Division algebraic symmetry breaking
Speaker(s): Cohl Furey, Mia Hughes
Abstract: Can the 32C-dimensional algebra R(x)C(x)H(x)O offer anything new for particle physics? Indeed it can. Here we identify a sequence of complex structures within R(x)C(x)H(x)O which sets in motion a cascade of breaking symmetries: Spin(10) -> Pati-Salam -> Left-Right symmetric -> Standard model + B-L (... read more
Date: 15/03/2021 - 12:00 pm

PIRSA:21030014  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Clifford algebra of the Standard Model
Speaker(s): Ivan Todorov
Abstract: We explore the Z2 graded product C`10 = C`4⊗ˆC`6 (introduced by Furey) as a finite quantum algebra of the Standard Model of particle physics. The gamma matrices generating C`10 are expressed in terms of left multiplication by the imaginary octonion units and the Pauli matrices. The subgroup of Sp... read more
Date: 22/03/2021 - 12:00 pm

PIRSA:21030015  ( MP4 Medium Res , MP3 , PDF ) Which Format?
The Higher Algebra of Supersymmetry
Speaker(s): John Huerta
Abstract: We have already met the octonionic Fierz identity satisfied by spinors in 10-dimensional spacetime. This identity makes super-Yang-Mills "super" and allows the Green-Schwarz string to be kappa symmetric. But it is also the defining equation of a "higher" algebraic structure: an L-infinity algebra ex... read more
Date: 29/03/2021 - 12:00 pm

PIRSA:21040002  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Can We Understand the Standard Model?
Speaker(s): John Baez
Abstract: 40 years trying to go beyond the Standard Model hasn't yet led to any clear success. As an alternative, we could try to understand why the Standard Model is the way it is. In this talk we review some lessons from grand unified theories and also from recent work using the octonions. The gauge group o... read more
Date: 05/04/2021 - 12:00 pm

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