Orbifolds by 2-groups and decomposition

被引：7

作者：

Pantev, Tony ^{[1
]}

Robbins, Daniel G. ^{[2
]}

Sharpe, Eric ^{[3
]}

Vandermeulen, Thomas ^{[2
]}

机构：

[1] Univ Penn, Dept Math, David Rittenhouse Lab, 209 South 33rd St, Philadelphia, PA 19104 USA

[2] SUNY Albany, Dept Phys, 1400 Washington Ave, Albany, NY 12222 USA

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

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2022年 / 2022卷 / 09期

关键词：

Discrete Symmetries; Sigma Models; GROMOV-WITTEN THEORY; STRING COMPACTIFICATIONS; STACKS; GERBES;

D O I：

10.1007/JHEP09(2022)036

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 study three-dimensional orbifolds by 2-groups with a triviallyacting one-form symmetry group BK. These orbifolds have a global two-form symmetry, and so one expects that they decompose into (are equivalent to) a disjoint union of other three-dimensional theories, which we demonstrate. These theories can be interpreted as sigma models on 2-gerbes, whose formal structures reflect properties of the orbifold construction.

引用

页数：45

共 50 条

[21] WALL GROUPS FOR ELEMENTARY 2-GROUPS
HARSILADZE, AF
MATHEMATICS OF THE USSR-SBORNIK, 1981, 114 (01): : 145 - 154
[22] 2-GROUPS AND JORDAN ALGEBRAS
WARD, JE
PACIFIC JOURNAL OF MATHEMATICS, 1970, 32 (03) : 821 - &
[23] On the character table of 2-groups
Abe, Shousaku
HOKKAIDO MATHEMATICAL JOURNAL, 2014, 43 (01) : 65 - 71
[24] Finding a class of 2-groups
Tamberg, Tatjana
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2010, 59 (04) : 370 - 374
[25] The real genus of 2-groups
May, Coy L.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2007, 6 (01) : 103 - 118
[26] The Hajos property for 2-groups
Amin, K
Corrádi, K
Sands, A
ACTA MATHEMATICA HUNGARICA, 2000, 89 (03) : 189 - 198
[27] A classification of metacyclic 2-groups
Xu, MY
Zhang, QH
ALGEBRA COLLOQUIUM, 2006, 13 (01) : 25 - 34
[28] Measurable Categories and 2-Groups
Louis Crane
David N. Yetter
Applied Categorical Structures, 2005, 13 : 501 - 516
[29] 2-groups and approximate fibrations
Daverman, RJ
Kim, Y
TOPOLOGY AND ITS APPLICATIONS, 2002, 120 (1-2) : 9 - 21
[30] CENTRALIZERS OF INVOLUTIONS IN 2-GROUPS
RONSE, C
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1979, 86 (SEP) : 199 - 204

← 1 2 3 4 5 →