Lorentz signature and twisted spectral triples

被引：20

作者：

Devastato, A. ^{[1
]}

Farnsworth, S. ^{[2
]}

Lizzi, F. ^{[1
,3
,4
]}

Martinetti, P. ^{[5
]}

机构：

[1] Ist Nazl Fis Nucl, Sez Napoli, Via Cintia, I-80126 Naples, Italy

[2] Albert Einstein Inst, Max Planck Inst Gravitat Phys, Muhlenberg 1, D-14476 Potsdam, Germany

[3] Univ Naples Federico II, Dipartimento Fis E Pancini, Via Cintia, I-80126 Naples, Italy

[4] Univ Barcelona, Inst Ciencies Cosmos ICCUB, Marti & Franques 1, E-08028 Barcelona, Catalonia, Spain

[5] Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 03期

关键词：

Non-Commutative Geometry; Differential and Algebraic Geometry; Space-Time Symmetries; NONCOMMUTATIVE GEOMETRY; STANDARD MODEL; GRAVITY;

D O I：

10.1007/JHEP03(2018)089

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We show how twisting the spectral triple of the Standard Model of elementary particles naturally yields the Krein space associated with the Lorentzian signature of spacetime. We discuss the associated spectral action, both for fermions and bosons. What emerges is a tight link between twists and Wick rotation.

引用

页数：21

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