Skip to main content
SpringerLink
Log in

Gauge-Dependent One-Loop Divergences in the Six-Dimensional đť’© = (1, 1) SYM Theory

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

We discus the gauge dependence of one-loop divergences in the six-dimensional \(\mathcal{N} = (1,1)\) supersymmetric Yang–Mills (SYM) theory.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. P. S. Howe and K. S. Stelle, “Ultraviolet divergences in higher dimensional supersymmetric Yang–Mills theories,” Phys. Lett. B 137, 175–180 (1984).

    Article  ADS  Google Scholar 

  2. E. S. Fradkin and A. A. Tseytlin, “Quantum properties of higher dimensional and dimensionally reduced supersymmetric theories,” Nucl. Phys. B 227, 252–290 (1983).

    Article  ADS  MathSciNet  Google Scholar 

  3. N. Marcus and A. Sagnotti, “A test of finiteness predictions for supersymmetric theories,” Phys. Lett. B 135, 85–90 (1984).

    Article  ADS  Google Scholar 

  4. G. Bossard, E. Ivanov, and A. Smilga, “Ultraviolet behaviour of 6D supersymmetric Yang-Mills theories and harmonic superspace,” J. High Energy Phys. 1512, 085 (2015).

  5. I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin, and K. V. Stepanyantz, “One-loop divergences in 6D, N = (1,0)SYM theory,” J. High Energy Phys. 1701, 128 (2017).

    Article  ADS  MathSciNet  Google Scholar 

  6. I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin, and K. V. Stepanyantz, “Supergraph analysis of the one-loop divergences in 6D, N = (1,0) and N = (1,1) gauge theories,” Nucl. Phys. B 921, 127–158 (2017).

    Article  ADS  MathSciNet  Google Scholar 

  7. I. L. Buchbinder, A. S. Budekhina, and B. S. Merzlikin, “On the component structure of one-loop effective actions in 6D, N = (1,0) and N = (1,1) and supersymmetric gauge theories,” arXiv: 1909.10789[hep-th].

  8. D. I. Kazakov, “Ultraviolet fixed points in gauge and SUSY field theories in extra dimensions,” J. High Energy Phys. 0303, 020 (2003).

  9. I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin, and K. V. Stepanyantz, “On gauge dependence of the one-loop divergences in 6D, N = (1,0) and N = (1,1) SYM theories,” Phys. Lett. B 798, 134957 (2019).

    Article  MathSciNet  Google Scholar 

  10. A. O. Barvinsky and G. A. Vilkovisky, “The generalized Schwinger–De Witt technique in gaugetheories and quantum gravity,” Phys. Rep. 119, 1 (1985).

    Article  ADS  MathSciNet  Google Scholar 

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

    Book  Google Scholar 

  12. P. S. Howe, G. Sierra, and P. K. Townsend, “Supersymmetry in six dimensions,” Nucl. Phys. B 221, 331–348 (1983).

    Article  ADS  MathSciNet  Google Scholar 

  13. P. S. Howe, K. S. Stelle, and P. C. West, “N = 1 d = 6 harmonic superspace,” Class. Quantum Grav. 2, 815 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  14. B. M. Zupnik, “Six-dimensional supergauge theories in the harmonic superspace,” Sov. J. Nucl. Phys. 44, 512 (1986).

    Google Scholar 

Download references

Funding

The work is supported in part by RFBR grant no. 18-02-00153 and Russian Federation President grant, the project no. MK-1649.2019.2.

Author information

Authors and Affiliations

  1. Tomsk State University of Control Systems and Radioelectronics, 634050, Tomsk, Russia

    B. S. Merzlikin

  2. Tomsk State Pedagogical University, 634061, Tomsk, Russia

    B. S. Merzlikin

Authors
  1. B. S. Merzlikin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. S. Merzlikin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Merzlikin, B.S. Gauge-Dependent One-Loop Divergences in the Six-Dimensional 𝒩 = (1, 1) SYM Theory. Phys. Part. Nuclei Lett. 17, 675–677 (2020). https://doi.org/10.1134/S1547477120050283

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477120050283

Search

Navigation