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
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
下载
收藏
页数:45
相关论文
共 50 条
  • [1] Orbifolds by 2-groups and decomposition
    Tony Pantev
    Daniel G. Robbins
    Eric Sharpe
    Thomas Vandermeulen
    Journal of High Energy Physics, 2022
  • [2] Three-dimensional orbifolds by 2-groups
    Perez-Lona, Alonso
    Sharpe, Eric
    JOURNAL OF HIGH ENERGY PHYSICS, 2023, 2023 (08)
  • [3] Three-dimensional orbifolds by 2-groups
    Alonso Perez-Lona
    Eric Sharpe
    Journal of High Energy Physics, 2023
  • [4] On 2-groups as Galois groups
    Ledet, A
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1995, 47 (06): : 1253 - 1273
  • [5] Automorphism groups of 2-groups
    Eick, Bettina
    JOURNAL OF ALGEBRA, 2006, 300 (01) : 91 - 101
  • [6] On Schur 2-Groups
    Muzychuk M.E.
    Ponomarenko I.N.
    Journal of Mathematical Sciences, 2016, 219 (4) : 565 - 594
  • [7] INVOLUTIONS IN 2-GROUPS
    BLACKBURN, N
    ARCHIV DER MATHEMATIK, 1980, 35 (1-2) : 75 - 78
  • [8] On monotone 2-groups
    Crestani, Eleonora
    Menegazzo, Federico
    JOURNAL OF GROUP THEORY, 2012, 15 (03) : 359 - 383
  • [9] From loop groups to 2-groups
    Baez, John C.
    Stevenson, Danny
    Crans, Alissa S.
    Schreiber, Urs
    HOMOLOGY HOMOTOPY AND APPLICATIONS, 2007, 9 (02) : 101 - 135
  • [10] ON THE SOLVABILITY OF 2-GROUPS
    ENDIMIONI, G
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (12): : 1253 - 1255