Fetching the paper…

Reading the bibliography…

2014

The Standard Model in Noncommutative Geometry and Morita equivalence

D'Andrea, Francesco, Dabrowski, Ludwik

Original
PDF
Post on X

Understand

We discuss some properties of the spectral triple $(A_F,H_F,D_F,J_F,\gamma_F)$ describing the internal space in the noncommutative geometry approach to the Standard Model, with $A_F=\mathbb{C}\oplus\mathbb{H}\oplus M_3(\mathbb{C})$.

We show that, if we want $H_F$ to be a Morita equivalence bimodule between $A_F$ and the associated Clifford algebra, two terms must be added to the Dirac operator; we then study its relation with the orientability condition for a spectral triple.
We also illustrate what changes if one considers a spectral triple with a degenerate representation, based on the complex algebra $B_F=\mathbb{C}\oplus M_2(\mathbb{C})\oplus M_3(\mathbb{C})$.

The Standard Model in Noncommutative Geometry and Morita equivalence · Around

Built on

A. Connes,
1994
Earlier work this paper cites.
D. Kastler,
1995
Earlier work this paper cites.
A.H. Chamseddine and A. Connes,
1997
Earlier work this paper cites.
R. Coquereaux,
1997
Earlier work this paper cites.
L. Dąbrowski, F. Nesti and P. Siniscalco,
1998
Earlier work this paper cites.
T. Krajewski,
1998
Earlier work this paper cites.
M. Paschke, F. Scheck and A. Sitarz,
1999
Earlier work this paper cites.
J.M. Gracia-Bondía, J.C. Várilly and H. Figueroa,
2001
Earlier work this paper cites.

Similar

G. Landi,
2002
Cited alongside, same era.
A. Connes,
2006
Cited alongside, same era.
J.C. Várilly,
2006
Cited alongside, same era.
A.H. Chamseddine, A. Connes and M. Marcolli,
2007
Cited alongside, same era.
A. Connes and M. Marcolli,
2008
Cited alongside, same era.
C.A. Stephan,
2009
Cited alongside, same era.
J. Bhowmick, F. D’Andrea and L. Dąbrowski,
2011
Cited alongside, same era.
A.H. Chamseddine and A. Connes,
2012

Then

S. Lord, A. Rennie and J.C. Várilly,
2012
Later among the works it cites.
A.H. Chamseddine, A. Connes and W.D. van Suijlekom,
2013
Later among the works it cites.
A.H. Chamseddine, A. Connes and W.D. van Suijlekom,
2013
Later among the works it cites.
A. Connes,
2013
Later among the works it cites.
J. Bhowmick, F. D’Andrea, B. Das and L. Dąbrowski,
2014
Closest in time.
A. Devastato, F. Lizzi and P. Martinetti,
2014
Closest in time.
W.D. van Suijlekom,
2015
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

A. Devastato and P. Martinetti,

Cited in the paper.