A Lie based 4-dimensional higher Chern-Simons theory
| Autor: | Roberto Zucchini |
|---|---|
| Přispěvatelé: | Zucchini, Roberto |
| Rok vydání: | 2015 |
| Předmět: |
High Energy Physics - Theory
Topological field theory Physics geometry Topological quantum field theory 010308 nuclear & particles physics higher gauge theory Chern–Simons theory Lie group FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) 81T13 81T20 81T45 01 natural sciences Characteristic class High Energy Physics::Theory High Energy Physics - Theory (hep-th) 0103 physical sciences Lie algebra Gauge theory 010306 general physics Moment map Mathematical Physics Mathematical physics Gauge symmetry |
| DOI: | 10.48550/arxiv.1512.05977 |
| Popis: | We present and study a model of 4-dimensional higher Chern-Simons theory, special Chern-Simons (SCS) theory, instances of which have appeared in the string literature, whose symmetry is encoded in a skeletal semistrict Lie 2-algebra constructed from a compact Lie group with non discrete center. The field content of SCS theory consists of a Lie valued 2-connection coupled to a background closed 3-form. SCS theory enjoys a large gauge and gauge for gauge symmetry organized in an infinite dimensional strict Lie 2-group. The partition function of SCS theory is simply related to that of a topological gauge theory localizing on flat connections with degree 3 second characteristic class determined by the background 3-form. Finally, SCS theory is related to a 3-dimensional special gauge theory whose 2-connection space has a natural symplectic structure with respect to which the 1-gauge transformation action is Hamiltonian, the 2-curvature map acting as moment map. Comment: 95 pages, no figures. Discussion of subsection. 3.2 improved. Typo in eq. 2.1.10d corrected |
| Databáze: | OpenAIRE |
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