Sigma models with non-commuting complex structures and extended supersymmetry

M. Göteman; Ulf Lindström

Archivum Mathematicum (2010)

  • Volume: 046, Issue: 5, page 323-331
  • ISSN: 0044-8753

Abstract

top
We discuss additional supersymmetries for 𝒩 = ( 2 , 2 ) supersymmetric non-linear sigma models described by left and right semichiral superfields.

How to cite

top

Göteman, M., and Lindström, Ulf. "Sigma models with non-commuting complex structures and extended supersymmetry." Archivum Mathematicum 046.5 (2010): 323-331. <http://eudml.org/doc/116495>.

@article{Göteman2010,
abstract = {We discuss additional supersymmetries for $\mathcal \{N\}=(2,2)$ supersymmetric non-linear sigma models described by left and right semichiral superfields.},
author = {Göteman, M., Lindström, Ulf},
journal = {Archivum Mathematicum},
keywords = {supersymmetry; complex geometry; supersymmetry; complex geometry},
language = {eng},
number = {5},
pages = {323-331},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Sigma models with non-commuting complex structures and extended supersymmetry},
url = {http://eudml.org/doc/116495},
volume = {046},
year = {2010},
}

TY - JOUR
AU - Göteman, M.
AU - Lindström, Ulf
TI - Sigma models with non-commuting complex structures and extended supersymmetry
JO - Archivum Mathematicum
PY - 2010
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 046
IS - 5
SP - 323
EP - 331
AB - We discuss additional supersymmetries for $\mathcal {N}=(2,2)$ supersymmetric non-linear sigma models described by left and right semichiral superfields.
LA - eng
KW - supersymmetry; complex geometry; supersymmetry; complex geometry
UR - http://eudml.org/doc/116495
ER -

References

top
  1. Abou–Zeid, M., Hull, C. M., 10.1016/S0550-3213(99)00528-3, Nucl. Phys. B 561 (1999), 293–315, [arXiv:hep-th/9907046]. (1999) MR1729245DOI10.1016/S0550-3213(99)00528-3
  2. Buscher, T., Lindström, U., Roček, M., 10.1016/0370-2693(88)90859-3, Phys. Lett. B 202 (1988), 94–98. (1988) MR0930852DOI10.1016/0370-2693(88)90859-3
  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. (1984) MR0776369
  4. Göteman, M., Lindström, U., Pseudo-hyperkahler Geometry and Generalized Kahler Geometry, to be published in Lett. Math. Phys., arXiv:0903.2376 [hep-th]. 
  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]. 
  6. Gualtieri, M., Generalized complex geometry, Ph.D. thesis, Oxford University, 2004, [math/0401221[math-dg]]. (2004) 
  7. Lindström, U., 10.1016/j.physletb.2004.03.014, Phys. Lett. B 587 (2004), 216–224, [arXiv:hep-th/0401100]. (2004) MR2065031DOI10.1016/j.physletb.2004.03.014
  8. Lindström, U., Ivanov, I. T., Roček, M., 10.1016/0370-2693(94)90426-X, Phys. Lett. B 328 (1994), 49–54, [arXiv:hep-th/9401091]. (1994) MR1288922DOI10.1016/0370-2693(94)90426-X
  9. Lindström, U., Minasian, R., Tomasiello, A., Zabzine, M., 10.1007/s00220-004-1265-6, Commun. Math. Phys. 257 (2005), 235–256. (2005) Zbl1118.53048MR2163575DOI10.1007/s00220-004-1265-6
  10. Lindström, U., Roček, M., von Unge, R., Zabzine, M., 10.1007/s00220-006-0149-3, Commun. Math. Phys. 269 (2007), 833–849. (2007) Zbl1114.81077MR2276362DOI10.1007/s00220-006-0149-3
  11. Lindström, U., Roček, M., von Unge, R., Zabzine, M., Linearizing generalized Kähler geometry, JHEP 0704 (2007), 28pp., [arXiv:hep-th/0702126]. (2007) MR2318766
  12. Yano, K., On a structure f satisfying f 3 + f = 0 , Tech. Rep. Univ. of Washington 12 (1961). (1961) 
  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. (1963) MR0159296

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.