scholarly journals Gauge transformations for twisted spectral triples

2018 ◽  
Vol 108 (12) ◽  
pp. 2589-2626 ◽  
Author(s):  
Giovanni Landi ◽  
Pierre Martinetti
Keyword(s):  
Spectral Triples ◽  
Gauge Transformations ◽  
Twisted Spectral Triples

scholarly journals Gauge transformations of spectral triples with twisted real structures

2021 ◽  
Vol 62 (8) ◽  
pp. 083502
Author(s):  
Adam M. Magee ◽  
Ludwik D൅browski
Keyword(s):  
Spectral Triples ◽  
Gauge Transformations

Twisted spectral triples and covariant differential calculi

2011 ◽  
Vol 93 ◽  
pp. 177-188 ◽  
Author(s):  
Ulrich Krähmer ◽  
Elmar Wagner
Keyword(s):  
Spectral Triples ◽  
Twisted Spectral Triples

scholarly journals Lorentz signature and twisted spectral triples

2018 ◽  
Vol 2018 (3) ◽  
Author(s):  
A. Devastato ◽  
S. Farnsworth ◽  
F. Lizzi ◽  
P. Martinetti
Keyword(s):  
Spectral Triples ◽  
Twisted Spectral Triples

scholarly journals Regularity of twisted spectral triples and pseudodifferential calculi

2019 ◽  
Vol 13 (3) ◽  
pp. 985-1009
Author(s):  
Marco Matassa ◽  
Robert Yuncken
Keyword(s):  
Spectral Triples ◽  
Twisted Spectral Triples

scholarly journals Real Part of Twisted-by-Grading Spectral Triples

2020 ◽  
Author(s):  
Manuele Filaci ◽  
◽  
Pierre Martinetti ◽  
◽  
◽  
...  
Keyword(s):  
Standard Model ◽  
Spectral Triple ◽  
Spectral Triples ◽  
The Real ◽  
Initial Algebra ◽  
The Standard Model ◽  
Twisted Spectral Triples

After a brief review on the applications of twisted spectral triples to physics, we adapt to the twisted case the notion of real part of a spectral triple. In particular, when one twists a usual spectral triple by its grading, we show that - depending on the KO dimension - the real part is either twisted as well, or is the intersection of the initial algebra with its opposite. We illustrate this result with the spectral triple of the standard model.

scholarly journals Untwisting twisted spectral triples

2019 ◽  
Vol 30 (14) ◽  
pp. 1950076 ◽  
Author(s):  
Magnus Goffeng ◽  
Bram Mesland ◽  
Adam Rennie
Keyword(s):  
Functional Calculus ◽  
Higher Order ◽  
Spectral Triple ◽  
Index Formula ◽  
Spectral Triples ◽  
Local Index ◽  
Index Data ◽  
Twisted Spectral Triples

We examine the index data associated to twisted spectral triples and higher order spectral triples. In particular, we show that a Lipschitz regular twisted spectral triple can always be “logarithmically dampened” through functional calculus, to obtain an ordinary (i.e. untwisted) spectral triple. The same procedure turns higher order spectral triples into spectral triples. We provide examples of highly regular twisted spectral triples with nontrivial index data for which Moscovici’s ansatz for a twisted local index formula is identically zero.

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