Quantum Isometries of the Finite Noncommutative Geometry of the Standard Model

被引：18

作者：

Bhowmick, Jyotishman ^{[1
]}

D'Andrea, Francesco ^{[2
]}

Dabrowski, Ludwik ^{[2
]}

机构：

[1] Abdus Salam Int Ctr Theoret Phys ICTP, I-34151 Trieste, Italy

[2] SISSA, I-34136 Trieste, Italy

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 307卷 / 01期

关键词：

AUTOMORPHISM-GROUPS; DIRAC OPERATOR; SYMMETRY;

D O I：

10.1007/s00220-011-1301-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compute the quantum isometry group of the finite noncommutative geometry F describing the internal degrees of freedom in the Standard Model of particle physics. We show that this provides genuine quantum symmetries of the spectral triple corresponding to M x F, where M is a compact spin manifold. We also prove that the bosonic and fermionic part of the spectral action are preserved by these symmetries.

引用

页码：101 / 131

页数：31

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