scholarly journals The graded product of real spectral triples

2017 ◽  
Vol 58 (2) ◽  
pp. 023507 ◽  
Author(s):  
Shane Farnsworth
Keyword(s):  
Spectral Triples ◽  
Real Spectral Triples

scholarly journals On Twisting Real Spectral Triples by Algebra Automorphisms

2016 ◽  
Vol 106 (11) ◽  
pp. 1499-1530 ◽  
Author(s):  
Giovanni Landi ◽  
Pierre Martinetti
Keyword(s):  
Spectral Triples ◽  
Real Spectral Triples

scholarly journals CATEGORIFIED NONCOMMUTATIVE MANIFOLDS

2009 ◽  
Vol 24 (15) ◽  
pp. 2802-2819 ◽  
Author(s):  
R. A. DAWE MARTINS
Keyword(s):  
Dirac Operator ◽  
Noncommutative Geometry ◽  
Tangent Bundle ◽  
Mass Matrix ◽  
Fermion Mass ◽  
Spectral Triples ◽  
Noncommutative Manifolds ◽  
Real Spectral Triples ◽  
Fermion Mass Matrix

We construct a noncommutative geometry with generalised 'tangent bundle' from Fell bundle C*-categories (E) beginning by replacing pair groupoid objects (points) with objects in E. This provides a categorification of a certain class of real spectral triples where the Dirac operator D is constructed from morphisms in a category. Applications for physics include quantization via the tangent groupoid and new constraints on D finite (the fermion mass matrix).

scholarly journals PRODUCT OF REAL SPECTRAL TRIPLES

2011 ◽  
Vol 08 (08) ◽  
pp. 1833-1848 ◽  
Author(s):  
LUDWIK DĄBROWSKI ◽  
GIACOMO DOSSENA
Keyword(s):  
Dirac Operator ◽  
Clifford Algebra ◽  
Finite Dimension ◽  
Spectral Triples ◽  
Inequivalent Representations ◽  
Real Spectral Triples

We construct the product of real spectral triples of arbitrary finite dimension (and arbitrary parity) taking into account the fact that in the even case there are two possible real structures, in the odd case there are two inequivalent representations of the gamma matrices (Clifford algebra), and in the even-even case there are two natural candidates for the Dirac operator of the product triple.

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 Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves

2021 ◽  
Vol 385 ◽  
pp. 107771
Author(s):  
Therese-Marie Landry ◽  
Michel L. Lapidus ◽  
Frédéric Latrémolière
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket ◽  
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
Sign in / Sign up

Export Citation Format

Share Document