| Title:
|
Sigma models with non-commuting complex structures and extended supersymmetry (English) |
| Author:
|
Göteman, M. |
| Author:
|
Lindström, U. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
46 |
| Issue:
|
5 |
| Year:
|
2010 |
| Pages:
|
323-331 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We discuss additional supersymmetries for $\mathcal{N}=(2,2)$ supersymmetric non-linear sigma models described by left and right semichiral superfields. (English) |
| Keyword:
|
supersymmetry |
| Keyword:
|
complex geometry |
| MSC:
|
51P05 |
| MSC:
|
81Q60 |
| MSC:
|
81T60 |
| idZBL:
|
Zbl 1249.81008 |
| idMR:
|
MR2753986 |
| . |
| Date available:
|
2010-12-14T15:03:32Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141386 |
| . |
| Reference:
|
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| Reference:
|
[2] Buscher, T., Lindström, U., Roček, M.: New supersymmetric sigma models with Wess-Zumino terms.Phys. Lett. B 202 (1988), 94–98. MR 0930852, 10.1016/0370-2693(88)90859-3 |
| Reference:
|
[3] Gates, S. J., Hull, C. M., Ročcek, M.: Twisted multiplets and new supersymmetric nonlinear sigma models.Nuclear Phys. B 248 (1) (1984), 157–186. MR 0776369 |
| Reference:
|
[4] Göteman, M., Lindström, U.: Pseudo-hyperkahler Geometry and Generalized Kahler Geometry.to be published in Lett. Math. Phys., arXiv:0903.2376 [hep-th]. |
| Reference:
|
[5] Göteman, M., Lindström, U., Roček, M., Ryb, I.: Sigma models with off–shell $N=(4,4)$ supersymmetry and noncommuting complex structures.arXiv:0912.4724 [hep-th]. |
| Reference:
|
[6] Gualtieri, M.: Generalized complex geometry.Ph.D. thesis, Oxford University, 2004, [math/0401221[math-dg]]. |
| Reference:
|
[7] Lindström, U.: Generalized $N = (2,2)$ supersymmetric non-linear sigma models.Phys. Lett. B 587 (2004), 216–224, [arXiv:hep-th/0401100]. MR 2065031, 10.1016/j.physletb.2004.03.014 |
| Reference:
|
[8] Lindström, U., Ivanov, I. T., Roček, M.: New N=4 superfields and sigma models.Phys. Lett. B 328 (1994), 49–54, [arXiv:hep-th/9401091]. MR 1288922, 10.1016/0370-2693(94)90426-X |
| Reference:
|
[9] Lindström, U., Minasian, R., Tomasiello, A., Zabzine, M.: Generalized complex manifolds and supersymmetry.Commun. Math. Phys. 257 (2005), 235–256. Zbl 1118.53048, MR 2163575, 10.1007/s00220-004-1265-6 |
| Reference:
|
[10] Lindström, U., Roček, M., von Unge, R., Zabzine, M.: Generalized Kaehler manifolds and off-shell supersymmetry.Commun. Math. Phys. 269 (2007), 833–849. Zbl 1114.81077, MR 2276362, 10.1007/s00220-006-0149-3 |
| Reference:
|
[11] Lindström, U., Roček, M., von Unge, R., Zabzine, M.: Linearizing generalized Kähler geometry.JHEP 0704 (2007), 28pp., [arXiv:hep-th/0702126]. MR 2318766 |
| Reference:
|
[12] Yano, K.: On a structure $f$ satisfying $f^3+f=0$.Tech. Rep. Univ. of Washington 12 (1961). |
| Reference:
|
[13] Yano, K.: On a structure defined by a tensor field of type $(1,1)$ satisfying $f^3+f=0$.Tensor N. S. 14 (1963), 9. MR 0159296 |
| . |
