Three-dimensional orbifolds by 2-groups

被引：0

作者：

Perez-Lona, Alonso ^{[1
]}

Sharpe, Eric ^{[1
]}

机构：

[1] Virginia Tech, Dept Phys, MC 0435,850 West Campus Dr, Blacksburg, VA 24061 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2023年 / 2023卷 / 08期

关键词：

Discrete Symmetries; Global Symmetries; Field Theories in Lower Dimensions; Sigma Models; FIELD-THEORIES;

D O I：

10.1007/JHEP08(2023)138

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：

In this paper we generalize previous work on decomposition in three-dimensional orbifolds by 2-groups realized as analogues of central extensions, to orbifolds by more general 2-groups. We describe the computation of such orbifolds in physics, state a version of the decomposition conjecture, and then compute in numerous examples, checking that decomposition works as advertised.

引用

下载

页数：36

共 50 条

[31] The cobordism of oriented three dimensional orbifolds
Druschel, KS
PACIFIC JOURNAL OF MATHEMATICS, 2000, 193 (01) : 45 - 55
[32] Representations of 2-Groups by Polynomials
Zhang, XB
ALGEBRA COLLOQUIUM, 2000, 7 (03) : 241 - 246
[33] The Neighbourhood of Dihedral 2-Groups
Martin Bálek
Aleš Drápal
Natalia Zhukavets
Acta Applicandae Mathematica, 2005, 85 : 25 - 33
[34] WALL GROUPS FOR ELEMENTARY 2-GROUPS
HARSILADZE, AF
MATHEMATICS OF THE USSR-SBORNIK, 1981, 114 (01): : 145 - 154
[35] 2-GROUPS AND JORDAN ALGEBRAS
WARD, JE
PACIFIC JOURNAL OF MATHEMATICS, 1970, 32 (03) : 821 - &
[36] On the character table of 2-groups
Abe, Shousaku
HOKKAIDO MATHEMATICAL JOURNAL, 2014, 43 (01) : 65 - 71
[37] Two-dimensional groups, orbifolds and tilings
Balke, L
Huson, DH
GEOMETRIAE DEDICATA, 1996, 60 (01) : 89 - 106
[38] Finding a class of 2-groups
Tamberg, Tatjana
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2010, 59 (04) : 370 - 374
[39] Three-Dimensional Classical Groups Acting on Polytopes
Peter A. Brooksbank
Deborah A. Vicinsky
Discrete & Computational Geometry, 2010, 44 : 654 - 659
[40] Control Systems on Three-Dimensional Lie Groups
Biggs, Rory
Remsing, Claudiu C.
2014 EUROPEAN CONTROL CONFERENCE (ECC), 2014, : 2442 - 2447

← 1 2 3 4 5 →