Space, Matter and Interactions in a Quantum Early Universe Part I: Kac-Moody and Borcherds Algebras

被引：2

作者：

Truini, Piero ^{[1
,2
]}

Marrani, Alessio ^{[3
]}

Rios, Michael ^{[2
]}

Irwin, Klee ^{[2
]}

机构：

[1] Ist Nazl Fis Nucl INFN, Sez Genova, Via Dodecaneso 33, I-16146 Genoa, Italy

[2] Quantum Grav Res QGR, 101 S Topanga Canyon Rd 1159, Los Angeles, CA 90290 USA

[3] Ctr & Ric Enrico Fermi, Via Panisperna 89A, I-00184 Rome, Italy

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 12期

关键词：

Kac-Moody algebras; Borcherds algebras; early universe cosmology;

D O I：

10.3390/sym13122342

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We introduce a quantum model for the universe at its early stages, formulating a mechanism for the expansion of space and matter from a quantum initial condition, with particle interactions and creation driven by algebraic extensions of the Kac-Moody Lie algebra e9. We investigate Kac-Moody and Borcherds algebras, and we propose a generalization that meets further requirements that we regard as fundamental in quantum gravity.

引用

页数：25

共 5 条

[1] Space, Matter and Interactions in a Quantum Early Universe. Part II: Superalgebras and Vertex Algebras
Truini, Piero
Marrani, Alessio
Rios, Michael
Irwin, Klee
SYMMETRY-BASEL, 2021, 13 (12):
[2] Quantum Kac-Moody algebras and vertex representations
Jing, NH
LETTERS IN MATHEMATICAL PHYSICS, 1998, 44 (04) : 261 - 271
[3] Quantum Kac-Moody Algebras and Vertex Representations
Jing N.
Letters in Mathematical Physics, 1998, 44 (4) : 261 - 271
[4] Gravitational theories coupled to matter as invariant theories under Kac-Moody algebras
Tabti, Nassiba
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2007, 55 (5-7): : 821 - 826
[5] INTEGRAL QUADRATIC-FORMS, KAC-MOODY ALGEBRAS, AND FRACTIONAL QUANTUM HALL-EFFECT - AN ADE-O CLASSIFICATION
FROHLICH, J
THIRAN, E
JOURNAL OF STATISTICAL PHYSICS, 1994, 76 (1-2) : 209 - 283

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