Skip to main content
Log in

The N=4 super Landau models

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We briefly describe a new superextended Landau model with a worldline N=4 supersymmetry and an internal target space ISU (2|2) supersymmetry. It shares many features with the previously studied N=2 supersymmetric Landau model, which is also briefly described.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. Landau, Z. Phys., 64, 629–637 (1930).

    Article  ADS  MATH  Google Scholar 

  2. F. D. M. Haldane, Phys. Rev. Lett., 51, 605–608 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  3. E. Ivanov, L. Mezincescu, and P. K. Townsend, “Fuzzy CP(n|m) as a quantum superspace,” arXiv:hep-th/ 0311159v3 (2003).

  4. E. Ivanov, L. Mezincescu, and P. K. Townsend, “A super-flag Landau model,” in: From Fields to Strings: Circumnavigating Theoretical Physics (M. Shifman, A. Vainshtein, and J. Wheater, eds.), World Scientific, Singapore (2005), pp. 2123–2146; arXiv:hep-th/0404108v2 (2004).

    Google Scholar 

  5. A. Beylin, T. Curtright, E. Ivanov, L. Mezincescu, and P. K. Townsend, JHEP, 0810, 069 (2008); arXiv: 0806.4716v3 [hep-th] (2008).

    Article  MathSciNet  ADS  Google Scholar 

  6. K. Hasebe, Phys. Rev. D, 72, 105017 (2005); arXiv:hep-th/0503162v3 (2005).

    Article  ADS  Google Scholar 

  7. E. Ivanov, L. Mezincescu, and P. K. Townsend, JHEP, 0601, 143 (2006); arXiv:hep-th/0510019v4 (2005).

    Article  MathSciNet  ADS  Google Scholar 

  8. T. Curtright, E. Ivanov, L. Mezincescu, and P. K. Townsend, JHEP, 0704, 020 (2007); arXiv:hep-th/0612300v2 (2006).

    Article  MathSciNet  ADS  Google Scholar 

  9. E. A. Ivanov, Theor. Math. Phys., 154, 349–361 (2008); arXiv:0705.2249v2 [hep-th] (2007).

    Article  MATH  Google Scholar 

  10. E. Witten, Nucl. Phys. B, 188, 513–554 (1981).

    Article  ADS  MATH  Google Scholar 

  11. A. Beylin, T. Curtright, E. Ivanov, and L. Mezincescu, JHEP, 1004, 091 (2010); arXiv:1003.0218v1 [hep-th] (2010).

    Article  MathSciNet  ADS  Google Scholar 

  12. V. Bychkov and E. Ivanov, Nucl. Phys. B, 863, 33–64 (2012); arXiv:1202.4984v3 [hep-th] (2012).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. R. R. Metsaev and A. A. Tseytlin, Nucl. Phys. B, 533, 109–126 (1998); arXiv:hep-th/9805028v4 (1998).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. T. J. Hollowood and J. L. Miramontes, JHEP, 1105, 136 (2011); arXiv:1104.2429v2 [hep-th] (2011).

    Article  MathSciNet  ADS  Google Scholar 

  15. N. Beisert, J. Stat. Mech., 0701, P01017 (2007); arXiv:nlin/0610017v2 (2006).

    Article  MathSciNet  Google Scholar 

  16. N. Beisert, Adv. Theor. Math. Phys., 12, 945–979 (2008); arXiv:hep-th/0511082v4 (2005).

    MathSciNet  Google Scholar 

  17. G. Arutyunov and S. Frolov, Nucl. Phys. B, 804, 90–143 (2008); arXiv:0803.4323v1 [hep-th] (2008).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. B. Stefański and A. A. Tseytlin, Nucl. Phys. B, 718, 83–112 (2005); arXiv:hep-th/0503185v3 (2005).

    Article  ADS  MATH  Google Scholar 

  19. D. V. Volkov and A. I. Pashnev, Theor. Math. Phys., 44, 770–773 (1980).

    Article  MathSciNet  Google Scholar 

  20. E. Ivanov and J. Niederle, Phys. Rev. D, 80, 065027 (2009); arXiv:0905.3770v2 [hep-th] (2009).

    Article  MathSciNet  ADS  Google Scholar 

  21. A. Galperin, E. Ivanov, V. Ogievetsky, and E. Sokatchev, JETP Lett., 40, 912–916 (1984); A. Galperin, E. Ivanov, S. Kalitzin, V. Ogievetsky, and E. Sokatchev, Class. Q. Grav., 1, 469–498 (1984).

    ADS  Google Scholar 

  22. A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, and E. S. Sokatchev, Harmonic Superspace, Cambridge Univ. Press, Cambridge (2001).

    Book  MATH  Google Scholar 

  23. E. Ivanov and O. Lechtenfeld, JHEP, 0309, 073 (2003); arXiv:hep-th/0307111v1 (2003).

    Article  MathSciNet  ADS  Google Scholar 

  24. H. Elvang and J. Polchinski, “The quantum hall effect on R 4,” arXiv:hep-th/0209104v2 (2002).

  25. S.-C. Zhang and J. Hu, Science, 294, 823–828 (2001); arXiv:cond-mat/0110572v1 (2001).

    Article  ADS  Google Scholar 

  26. D. Karabali and V. P. Nair, Nucl. Phys. B, 641, 533–646 (2002); arXiv:hep-th/0203264v1 (2002).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. F. Delduc and E. Ivanov, Nucl. Phys. B, 855, 815–853 (2012); arXiv:1107.1429v3 [hep-th] (2011).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. S. Bellucci, E. Ivanov, S. Krivonos, and O. Lechtenfeld, Nucl. Phys. B, 699, 226–252 (2004); arXiv:hep-th/ 0406015v1 (2004).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. E. A. Ivanov, M. A. Konyushikhin, and A. V. Smilga, JHEP, 1005, 033 (2010); arXiv:0912.3289v2 [hep-th] (2009).

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. S. Bychkov.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 174, No. 1, pp. 46–58, January, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bychkov, V.S., Ivanov, E.A. The N=4 super Landau models. Theor Math Phys 174, 40–51 (2013). https://doi.org/10.1007/s11232-013-0003-7

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-013-0003-7

Keywords

Navigation