Fermions on curved backgrounds of matrix models

被引：11

作者：

Battista, Emmanuele ^{[1
]}

Steinacker, Harold C. ^{[1
]}

机构：

[1] Univ Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, Austria

来源：

PHYSICAL REVIEW D | 2023年 / 107卷 / 04期

基金：

奥地利科学基金会;

关键词：

DIRAC-EQUATION; GENERAL-RELATIVITY; SPIN PRECESSION; YANG-MILLS; PARTICLES; TORSION;

D O I：

10.1103/PhysRevD.107.046021

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We discuss the propagation of fermions on generic, curved branes in Ishibashi-Kawai-Kitazawa-Tsuchiya-type matrix models. The Dirac operator can be understood either in terms of a Weitzenbock connection, or in terms of the Levi-Civita connection with an extra torsion term. We discuss in detail the coupling of spin to the background geometry using the Jeffreys-Wentzel-Kramers-Brillouin approximation. Despite the absence of local Lorentz invariance in the underlying Ishibashi-Kawai-Kitazawa-Tsuchiya framework, our results agree with the expectations of Einstein-Cartan theory, and differ from general relativity only by an extra coupling to the totally antisymmetric part of the torsion. The case of Friedmann-Lemaitre-Robertson-Walker cosmic solutions is discussed as a case.

引用

页数：14

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