Abstract
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference35 articles.
1. S. Hellerman et al., Cluster decomposition, T-duality, and gerby CFT’s, Adv. Theor. Math. Phys. 11 (2007) 751 [hep-th/0606034] [INSPIRE].
2. T. Pantev and E. Sharpe, Notes on gauging noneffective group actions, hep-th/0502027 [INSPIRE].
3. T. Pantev and E. Sharpe, String compactifications on Calabi-Yau stacks, Nucl. Phys. B 733 (2006) 233 [hep-th/0502044] [INSPIRE].
4. T. Pantev and E. Sharpe, GLSM’s for Gerbes (and other toric stacks), Adv. Theor. Math. Phys. 10 (2006) 77 [hep-th/0502053] [INSPIRE].
5. E. Sharpe, An introduction to decomposition, arXiv:2204.09117 [INSPIRE].