2010

Supersymmetric QCD and noncommutative geometry

Broek, Thijs van den, van Suijlekom, Walter D.

Understand

We derive supersymmetric quantum chromodynamics from a noncommutative manifold, using the spectral action principle of Chamseddine and Connes.

After a review of the Einstein-Yang-Mills system in noncommutative geometry, we establish in full detail that it possesses supersymmetry.
This noncommutative model is then extended to give a theory of quarks, squarks, gluons and gluinos by constructing a suitable noncommutative spin manifold (i.e.
a spectral triple).

Euclidean Quantum Electrodynamics
J. Schwinger · 1959
Earlier work this paper cites.
Morita equivalence for C ∗ C^{\ast} -algebras and W ∗ W^{\ast} -algebras
M. A. Rieffel · 1974
Earlier work this paper cites.
A Possible constructive approach to (super- ϕ 3 \phi^{3} ) 4 . 1. Euclidean formulation of the model
H. Nicolai · 1978
Earlier work this paper cites.
Invariance theory, the heat equation, and the Atiyah-Singer index theorem
P. B. Gilkey · 1984
Earlier work this paper cites.
Particle models and noncommutative geometry
A. Connes and J. Lott · 1991
Earlier work this paper cites.
Noncommutative geometry and supersymmetry
F. Hussain and G. Thompson · 1991
Earlier work this paper cites.
Noncommutative geometry and supersymmetry. 2
F. Hussain and G. Thompson · 1991
Earlier work this paper cites.
Connection between space-time supersymmetry and noncommutative geometry
A. H. Chamseddine · 1994
Earlier work this paper cites.
Noncommutative Geometry
A. Connes · 1994
Earlier work this paper cites.

Universal formula for noncommutative geometry actions: Unifications of gravity and the standard model
A. H. Chamseddine and A. Connes · 1996
Cited alongside, same era.
Gravity coupled with matter and the foundation of non-commutative geometry
A. Connes · 1996
Cited alongside, same era.
On Euclidean spinors and Wick rotations
P. van Nieuwenhuizen and A. Waldron · 1996
Cited alongside, same era.
The spectral action principle
A. H. Chamseddine and A. Connes · 1997
Cited alongside, same era.
Supersymmetry and noncommutative geometry
W. Kalau and M. Walze · 1997
Cited alongside, same era.
Fermion Hilbert space and fermion doubling in the noncommutative geometry approach to gauge theories
F. Lizzi, G. Mangano, G. Miele, and G. Sparano · 1997
Cited alongside, same era.
Remarks on the spectral action principle
A. H. Chamseddine · 1998
Cited alongside, same era.
Stop and sbottom phenomenology in the MSSM
S. Kraml · 1999
Cited alongside, same era.

Generalized Fierz identities
J. F. Nieves and P. B. Pal · 2004
Later among the works it cites.
The soft supersymmetry-breaking Lagrangian: Theory and applications
D. J. H. Chung et al · 2005
Later among the works it cites.
Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
A. H. Chamseddine and A. Connes · 2007
Later among the works it cites.
Gravity and the standard model with neutrino mixing
A. H. Chamseddine, A. Connes, and M. Marcolli · 2007
Later among the works it cites.
Why the Standard Model
A. H. Chamseddine and A. Connes · 2008
Later among the works it cites.
Noncommutative Geometry, Quantum Fields and Motives
A. Connes and M. Marcolli · 2008
Later among the works it cites.
On the spectral characterization of manifolds
A. Connes · 2009
Later among the works it cites.
Spectral action and neutrino mass
Original
A. Sitarz · 2009
Later among the works it cites.

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