Skip to main content
Log in

Two-loop effective Kähler potential in three-dimensional N = 2 SQED

  • Physics of Elementary Particles and Atomic Nuclei. Theory
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

We consider three-dimensional Abelian N = 2 supersymmetric Chern–Simons-matter model with two chiral superfields and study local superspace contributions to low-energy effective action in the matter superfields sector of the theory. Using supergraph technique we compute the effective Kähler potential in the explicit form up to the two-loop approximation.

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. I. L. Buchbinder, B. S. Merzlikin, and I. B. Samsonov, “Two-loop low-energy effective action in Abelian supersymmetric Chern-Simons matter models,” Nucl. Phys. B 881, 42–70 (2014).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. I. L. Buchbinder, N. G. Pletnev, and I. B. Samsonov, “Effective action of three-dimensional extended supersymmetric matter on gauge superfield background,” J. High Energy Phys. 1004, 124 (2010).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. I. L. Buchbinder, N. G. Pletnev, and I. B. Samsonov, “Low-energy effective actions in three-dimensional extended SYM theories,” J. High Energy Phys. 1101, 012 (2011).

    MATH  Google Scholar 

  4. I. L. Buchbinder and B. S. Merzlikin, “On effective Kähler potential in N = 2, d = 3 SQED,” Nucl. Phys. B 900, 80–103 (2015).

    Article  ADS  MATH  Google Scholar 

  5. I. L. Buchbinder and S. M. Kuzenko, Ideas and Methods of Supersymmetry and Supergravity: or a Walk through Superspace (IOP, Bristol, UK, 1998).

    MATH  Google Scholar 

  6. M. Gomes, A. C. Lehum, J. R. Nascimento, A. Yu. Petrov, and A. J. Silva, “The effective superpotential in the supersymmetric Chern-Simons theory with matter,” Phys. Rev. D: Part. Fields 87, 027701 (2013).

    Article  ADS  Google Scholar 

  7. A. F. Ferrari, M. Gomes, A. C. Lehum, J. R. Nascimento, A. Y. Petrov, E. O. Silva, and A. J. Silva, “On the superfield effective potential in three dimensions,” Phys. Lett. B 678, 500–503 (2009).

    Article  ADS  MathSciNet  Google Scholar 

  8. I. L. Buchbinder, B. S. Merzlikin, and I. B. Samsonov, “Two-loop effective potentials in general N = 2, d = 3 chiral superfield model,” Nucl. Phys. B 860, 87–114 (2012).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. J. Bagger and N. Lambert, “Modeling multiple M2’s,” Phys. Rev. D: Part. Fields 75, 04502 (2007).

    Article  MathSciNet  Google Scholar 

  10. J. Bagger and N. Lambert, “Gauge symmetry and supersymmetry of multiple M2-branes,” Phys. Rev. D: Part. Fields 77, 065008 (2008).

    Article  ADS  MathSciNet  Google Scholar 

  11. A. Gustavsson, “Algebraic structures on parallel M2-branes,” Nucl. Phys. B 811, 66–76 (2009).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. O. Aharony, O. Bergman, D. L. Jefferis, and J. Maladacena, “6 superconformal Chern–Simons-matter theories, M2-branes and their gravity duals,” J. High Energy Phys. 0810, 091 (2008).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  13. S. J. Gates, M. T. Grisaru, M. Rocek, and W. Siegel, Superspace or One Thousand and one Lessons in Supersymmetry (Benjamin/Cummings, Reading, MA, 1983).

    MATH  Google Scholar 

  14. S. M. Kuzenko and S. J. Tyler, “Supersymmetric Euler-Heisenberg effective action: two-loop results,” J. High Energy Phys. 0705, 081 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  15. A. A. Ostrovsky and G. A. Vilkovisky, “The covariant effective action in QED. One-loop magnetic moment,” J. Math. Phys. 29, 702 (1988).

    Article  ADS  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. S. Merzlikin.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Merzlikin, B.S. Two-loop effective Kähler potential in three-dimensional N = 2 SQED. Phys. Part. Nuclei Lett. 14, 408–410 (2017). https://doi.org/10.1134/S1547477117020200

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477117020200

Navigation