Hyperkaehler metrics from projective superspace
Archivum Mathematicum (2007)
- Volume: 043, Issue: 5, page 491-498
- ISSN: 0044-8753
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topLindström, Ulf. "Hyperkaehler metrics from projective superspace." Archivum Mathematicum 043.5 (2007): 491-498. <http://eudml.org/doc/250183>.
@article{Lindström2007,
abstract = {This is a brief review of how sigma models in Projective Superspace have become important tools for constructing new hyperkähler metrics.},
author = {Lindström, Ulf},
journal = {Archivum Mathematicum},
keywords = {superspace; sigma models; hyperkähler geometry; superspace; sigma models; hyper-Kähler geometry},
language = {eng},
number = {5},
pages = {491-498},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Hyperkaehler metrics from projective superspace},
url = {http://eudml.org/doc/250183},
volume = {043},
year = {2007},
}
TY - JOUR
AU - Lindström, Ulf
TI - Hyperkaehler metrics from projective superspace
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 5
SP - 491
EP - 498
AB - This is a brief review of how sigma models in Projective Superspace have become important tools for constructing new hyperkähler metrics.
LA - eng
KW - superspace; sigma models; hyperkähler geometry; superspace; sigma models; hyper-Kähler geometry
UR - http://eudml.org/doc/250183
ER -
References
top- Alvarez-Gaumé L., Freedman D. Z., Geometrical structure and ultraviolet finiteness in the supersymmetric sigma model, Comm. Math. Phys. 80, 443 (1981). (1981) MR0626710
- Arai M., Kuzenko S. M., Lindstrom U., Hyperkaehler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace, JHEP 0702, 100 (2007), [arXiv:hep-th/0612174]. MR2318051
- Buscher T., Lindstrom U., Roček M., New supersymmetric sigma models with Wess-Zumino terms, Phys. Lett. B 202, 94 (1988). (1988) MR0930852
- Galperin A. S., Ivanov E. A., Ogievetsky V. I., Sokatchev E. S., Harmonic Superspace, Cambridge University Press (UK) (2001), 306 p. Zbl1152.81001MR1865518
- Gates S. J., Hull C. M., Roček M., Twisted multiplets and new supersymmetric nonlinear sigma models, Nuclear Phys. B 248, 157 (1984). (1984) MR0776369
- Gates S. J., Jr., Kuzenko S. M., The CNM-hypermultiplet nexus, Nuclear Phys. B 543, 122 (1999), [hep-th/9810137]. (1999) Zbl0958.81179MR1686128
- Gonzalez-Rey F., Roček M., Wiles S., Lindstrom U., von Unge R., Feynman rules in projective superspace. I: Massless hypermultiplets, Nuclear Phys. B 516, 426 (1998), [arXiv:hep-th/9710250]. (1998) MR1630237
- Gonzalez-Rey F., von Unge R., Feynman rules in projective superspace. II: Massive hypermultiplets, Nuclear Phys. B 516, 449 (1998), [arXiv:hep-th/9711135]. (1998) Zbl0977.81141MR1630233
- Gonzalez-Rey F., Feynman rules in projective superspace. III: Yang-Mills multiplet, arXiv:hep-th/9712128.
- Grundberg J., Lindstrom U., Actions for linear multiplets in six-dimensions, Class. Quant. Grav. 2, L33 (1985). (1985) MR0786559
- Gualtieri M., Generalized complex geometry, Oxford University DPhil thesis, [arXiv:math.DG/0401221]. Zbl1235.32020MR2811595
- Hitchin N. J., Karlhede A., Lindstrom U., Rocek M., Hyperkahler metrics and supersymmetry, Comm. Math. Phys. 108, 535 (1987). (1987) MR0877637
- Hitchin N., Generalized Calabi-Yau manifolds, Q. J. Math. 54 (2003), No. 3, 281–308, [arXiv:math.DG/0209099]. Zbl1076.32019MR2013140
- Ivanov I. T., Roček M., Supersymmetric sigma models, twistors, and the Atiyah-Hitchin metric, Comm. Math. Phys. 182, 291 (1996), [arXiv:hep-th/9512075]. (1996) Zbl0882.32014MR1447294
- Karlhede A., Lindstrom U., Roček M., Selfinteracting tensor multiplets in superspace, Phys. Lett. B 147, 297 (1984). (1984) MR0769049
- Karlhede A., Lindstrom U., Roček M., Hyperkahler manifolds and nonlinear supermultiplets, Comm. Math. Phys. 108, 529 (1987). (1987) MR0877636
- Kuzenko S. M., Projective superspace as a double-punctured harmonic superspace, Internat. J. Modern Phys. A 14, 1737 (1999), [arXiv:hep-th/9806147]. (1999) Zbl0938.81039MR1686416
- van Nieuwenhuizen P., General theory of coset manifolds and antisymmetric tensors applied to Kaluza-Klein supergravity, Published in Trieste School 1984:0239. (1984)
- Kuzenko S. M., Extended supersymmetric nonlinear sigma-models on cotangent bundles of Kähler manifolds: Off-shell realizations, gauging, superpotentials, Talks given at the University of Munich, Imperial College, and Cambridge University (May–June, 2006).
- Lindström U., Ivanov I. T., Roček M., New superfields and sigma models, Phys. Lett. B 328, 49 (1994). [arXiv:hep-th/9401091]. (1994) MR1288922
- Lindström U., Kim B. B., Roček M., The nonlinear multiplet revisited, Phys. Lett. B 342, 99 (1995) [arXiv:hep-th/9406062]. (1995) MR1314388
- Lindström U., Roček M., Scalar tensor duality and , nonlinear sigma models, Nuclear Phys. B 222, 285 (1983). (1983) MR0710273
- Lindström U., Roček M., New hyperkahler metrics and new supermultiplets, Comm. Math. Phys. 115, 21 (1988). (1988) MR0929144
- Lindström U., Roček M., Superyang-Mills theory in projective superspace, Comm. Math. Phys. 128, 191 (1990). (191) MR1042450
- Lindström U., Roček M., von Unge R., Zabzine M., Generalized Kaehler manifolds and off-shell supersymmetry, arXiv:hep-th/0512164. Zbl1114.81077
- Lindström U., Roček M., von Unge R., Zabzine M., Linearizing generalized Kaehler geometry, arXiv:hep-th/0702126.
- Zumino B., Supersymmetry and Kahler manifolds, Phys. Lett. B 87, 203 (1979). (1979)
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