| dc.contributor |
Massachusetts Institute of Technology. Department of Physics |
|
| dc.contributor |
Massachusetts Institute of Technology. Laboratory for Nuclear Science |
|
| dc.contributor |
Hohm, Olaf |
|
| dc.contributor |
Zwiebach, Barton |
|
| dc.creator |
Hohm, Olaf |
|
| dc.creator |
Zwiebach, Barton |
|
| dc.date |
2018-11-05T14:39:08Z |
|
| dc.date |
2018-11-05T14:39:08Z |
|
| dc.date |
2017-03 |
|
| dc.date |
2018-10-17T13:41:40Z |
|
| dc.date.accessioned |
2023-03-01T18:12:12Z |
|
| dc.date.available |
2023-03-01T18:12:12Z |
|
| dc.identifier |
00158208 |
|
| dc.identifier |
http://hdl.handle.net/1721.1/118871 |
|
| dc.identifier |
Hohm, Olaf, and Barton Zwiebach. “L∞ Algebras and Field Theory.” Fortschritte Der Physik 65, no. 3–4 (March 2017): 1700014. |
|
| dc.identifier |
https://orcid.org/0000-0001-6504-3210 |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/279140 |
|
| dc.description |
We review and develop the general properties of L∞algebras focusing on the gauge structure of the associated field theories. Motivated by the L∞homotopy Lie algebra of closed string field theory and the work of Roytenberg and Weinstein describing the Courant bracket in this language we investigate the L∞structure of general gauge invariant perturbative field theories. We sketch such formulations for non-abelian gauge theories, Einstein gravity, and for double field theory. We find that there is an L∞algebra for the gauge structure and a larger one for the full interacting field theory. Theories where the gauge structure is a strict Lie algebra often require the full L∞algebra for the interacting theory. The analysis suggests that L∞algebras provide a classification of perturbative gauge invariant classical field theories. |
|
| dc.description |
German Science Foundation (DFG Heisenberg Fellowship) |
|
| dc.description |
United States. Department of Energy (grant contract Number de-sc0012567) |
|
| dc.format |
application/pdf |
|
| dc.publisher |
Wiley |
|
| dc.relation |
http://dx.doi.org/10.1002/PROP.201700014 |
|
| dc.relation |
Fortschritte der Physik |
|
| dc.rights |
Creative Commons Attribution-Noncommercial-Share Alike |
|
| dc.rights |
http://creativecommons.org/licenses/by-nc-sa/4.0/ |
|
| dc.source |
arXiv |
|
| dc.title |
L∞ algebras and field theory |
|
| dc.type |
Article |
|
| dc.type |
http://purl.org/eprint/type/JournalArticle |
|