Boundary electromagnetic duality from homological edge modes
| Autor: | Mathieu, Philippe, Teh, Nicholas J. |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Ph. Mathieu and N. Teh. Boundary electromagnetic duality from homological edge modes. Journal of High Energy Physics 2021, 192 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP07(2021)192 |
| Popis: | Recent years have seen a renewed interest in using `edge modes' to extend the pre-symplectic structure of gauge theory on manifolds with boundaries. Here we further the investigation undertaken in \cite{FP2018} by using the formalism of homotopy pullback and Deligne-Beilinson cohomology to describe an electromagnetic (EM) duality on the boundary of $M=B^{3}\times\mathbb{R}$. Upon breaking a generalized global symmetry, the duality is implemented by a BF-like topological boundary term. We then introduce Wilson line singularities on $\partial M$ and show that these induce the existence of dual edge modes, which we identify as connections over a $\left(-1\right)$-gerbe. We derive the pre-symplectic structure that yields the central charge in \cite{FP2018} and show that the central charge is related to a non-trivial class of the $\left(-1\right)$-gerbe. Comment: Version 2: Some minor typos corrected, some references added, Appendix C rephrased, provided with more indicative figures. Version 3: Some minor typos corrected, Appendix D added |
| Databáze: | arXiv |
| Externí odkaz: |
|