Sh-Lie algebras Induced by Gauge Transformations
| dc.creator | Fulp, Ron | |
| dc.creator | Lada, Tom | |
| dc.creator | Stasheff, Jim | |
| dc.date | 2000-12-13 | |
| dc.date | 2001-12-15 | |
| dc.date.accessioned | 2026-07-07T04:39:12Z | |
| dc.date.available | 2026-07-07T04:39:12Z | |
| dc.description | The physics of ``particles of spin $\leq 2$'' leads to representations of a Lie algebra $Ξ$ of gauge parameters on a vector space $Φ$ of fields. Attempts to develop an analogous theory for spin $>2$ have failed; in fact, there are claims that such a theory is impossible (though we have been unable to determine the hypotheses for such a `no-go' theorem). This led BBvD [burgers:diss,BBvd:three,BBvD:probs] to generalize to `field dependent parameters' in a setting where some analysis in terms of smooth functions is possible. Having recognized the resulting structure as that of an sh-lie algebra ($L_\infty$-algebra), we have now reproduced their structure entirely algebraically, hopefully shedding some light on what is going on. | |
| dc.description | Now 24 pages, LaTeX, no figures Extensively revised in terms of the applications and on shell aspects. In particular, a new section 8 analyzes Ikeda's 2D example from our perspective. His bracket is revealed as a generalized Kirillov-Kostant bracket. Additional references | |
| dc.identifier | https://arxiv.org/abs/math/0012106 | |
| dc.identifier | http://arxiv.org/abs/math/0012106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60567 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | 18G55 (Primary) 81T13 (Secondary) | |
| dc.title | Sh-Lie algebras Induced by Gauge Transformations | |
| dc.type | text |