| Title:
|
Particles in the superworldline and BRST (English) |
| Author:
|
Boffo, Eugenia |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
58 |
| Issue:
|
5 |
| Year:
|
2022 |
| Pages:
|
259-267 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this short note we discuss $N$-supersymmetric worldlines of relativistic massless particles and review the known result that physical spin-$N/2$ fields are in the first BRST cohomology group. For $N=1,2,4$, emphasis is given to particular deformations of the BRST differential, that implement either a covariant derivative for a gauge theory or a metric connection in the target space seen by the particle. In the end, we comment about the possibility of incorporating Ramond-Ramond fluxes in the background. (English) |
| Keyword:
|
supersymmetry |
| Keyword:
|
spin |
| Keyword:
|
BRST cohomology |
| Keyword:
|
gauge theories |
| Keyword:
|
gravity |
| MSC:
|
70S10 |
| MSC:
|
70S15 |
| MSC:
|
81S10 |
| idZBL:
|
Zbl 07655747 |
| idMR:
|
MR4529818 |
| DOI:
|
10.5817/AM2022-5-259 |
| . |
| Date available:
|
2022-11-28T12:26:54Z |
| Last updated:
|
2023-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151153 |
| . |
| Reference:
|
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| Reference:
|
[2] Becchi, C., Rouet, A., Stora, R.: Renormalization of Gauge theories.Annals Phys. 98 (1976), 287–321. MR 0413861, 10.1016/0003-4916(76)90156-1 |
| Reference:
|
[3] Boffo, E., Sachs, I.: Spin fields for the spinning particle.JHEP 10 117 (2022). MR 4498771 |
| Reference:
|
[4] Bonezzi, R., Meyer, A., Sachs, I.: Einstein gravity from the $ \mathcal{N}=4 $ spinning particle.JHEP 10 (2018), 24 pp. MR 3891071 |
| Reference:
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| Reference:
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| Reference:
|
[7] Corradini, O., Schubert, C., Edwards, J.P., Ahmadiniaz, N.: Spinning particles in quantum mechanics and quantum field theory.arXiv:1512.08694, 12 2015. |
| Reference:
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[8] Dai, P., Huang, Y.T., Siegel, W.: Worldgraph approach to Yang-Mills amplitudes from N=2 spinning particle.JHEP 10 (2008), 20 pp. MR 2453018 |
| Reference:
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[9] Figueroa-O’Farrill, J.: BRST cohomology.http://www.maths.ed.ac.uk/empg/Activities/BRST. |
| Reference:
|
[10] Losev, I.: Isomorphisms of quantizations via quantization of resolutions.Adv. Math. 231 (3) (2012), 1216–1270. MR 2964603, 10.1016/j.aim.2012.06.017 |
| . |
