Twisted Spectral Triples without the First-Order Condition

Abstract

We extend twisted inner fluctuations to twisted spectral triples that do not meet the twisted first-order condition, following what has been done in [6] for the non-twisted case. We find a similar non-linear term in the fluctuation, and work out the twisted version of the semi-group of inner perturbations.

References in corpus (9)

• Gravity coupled with matter and foundation of non-commutative geometry
• Why the Standard Model
• Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I
• Type III and spectral triples
• Lorentz signature and twisted spectral triples
• On twisting real spectral triples by algebra automorphisms
• Gauge transformations for twisted spectral triples
• Twisted Standard Model in noncommutative geometry I: the field content
• Lorentzian fermionic action by twisting euclidean spectral triples

Cited by in corpus (4)

• Gauge theories on quantum spaces
• Twisted Standard Model in noncommutative geometry I: the field content
• Quantum causality in $\kappa$-Minkowski and related constraints
• A critical survey of twisted spectral triples beyond the Standard Model