Vector profile and gauge invariant observables of string field theory solutions for constant magnetic field background

Abstract

We study profiles and gauge invariant observables of classical solutions corresponding to a constant magnetic field on a torus in open string field theory. We numerically find that the profile is not discontinuous on the torus, although the solution describes topologically nontrivial configurations in the context of low energy effective theory. From the gauge invariant observables, we show that the solution provide correct couplings of closed strings to a D-brane with constant magnetic field.

A preprint version of the article is available at ArXiv.

References

  1. [1]

    T. Erler and C. Maccaferri, String field theory solution for any open string background, JHEP 10 (2014) 029 [arXiv:1406.3021] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  2. [2]

    N. Ishibashi, I. Kishimoto and T. Takahashi, String field theory solution corresponding to constant background magnetic field, PTEP 2017 (2017) 013B06 [arXiv:1610.05911] [INSPIRE].

  3. [3]

    B. Zwiebach, Interpolating string field theories, Mod. Phys. Lett. A 7 (1992) 1079 [hep-th/9202015] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  4. [4]

    T. Erler and M. Schnabl, A simple analytic solution for tachyon condensation, JHEP 10 (2009) 066 [arXiv:0906.0979] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  5. [5]

    A. Abouelsaood, C.G. Callan Jr., C.R. Nappi and S.A. Yost, Open strings in background gauge fields, Nucl. Phys. B 280 (1987) 599 [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  6. [6]

    G.T. Horowitz and A. Strominger, Translations as inner derivations and associativity anomalies in open string field theory, Phys. Lett. B 185 (1987) 45 [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  7. [7]

    T. Kawano, I. Kishimoto and T. Takahashi, Gauge invariant overlaps for classical solutions in open string field theory, Nucl. Phys. B 803 (2008) 135 [arXiv:0804.1541] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  8. [8]

    J. Polchinski, String theory. Volume 1: an introduction to the bosonic string, Cambridge Monographs on Mathematical Physics, Cambridge UNiversity Press, Cambridge U.K. (1998).

  9. [9]

    H. Grosse, C. Klimčík and P. Prešnajder, Topologically nontrivial field configurations in noncommutative geometry, Commun. Math. Phys. 178 (1996) 507 [hep-th/9510083] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  10. [10]

    A. Connes, M.R. Douglas and A.S. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, JHEP 02 (1998) 003 [hep-th/9711162] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  11. [11]

    E. Witten, Overview of k-theory applied to strings, Int. J. Mod. Phys. A 16 (2001) 693 [hep-th/0007175] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  12. [12]

    U. Carow-Watamura, H. Steinacker and S. Watamura, Monopole bundles over fuzzy complex projective spaces, J. Geom. Phys. 54 (2005) 373 [hep-th/0404130] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  13. [13]

    N. Ishibashi, p-branes from (p − 2)-branes in the bosonic string theory, Nucl. Phys. B 539 (1999) 107 [hep-th/9804163] [INSPIRE].

  14. [14]

    T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M theory as a matrix model: a conjecture, Phys. Rev. D 55 (1997) 5112 [hep-th/9610043] [INSPIRE].

    ADS  MathSciNet  MATH  Google Scholar 

  15. [15]

    N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A large N reduced model as superstring, Nucl. Phys. B 498 (1997) 467 [hep-th/9612115] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  16. [16]

    F. Sugino, Witten’s open string field theory in constant B field background, JHEP 03 (2000) 017 [hep-th/9912254] [INSPIRE].

    ADS  MathSciNet  Article  Google Scholar 

  17. [17]

    T. Kawano and T. Takahashi, Open string field theory on noncommutative space, Prog. Theor. Phys. 104 (2000) 459 [hep-th/9912274] [INSPIRE].

    ADS  Article  Google Scholar 

Download references

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Author information

Affiliations

Authors

Corresponding author

Correspondence to Tomohiko Takahashi.

Additional information

ArXiv ePrint: 1804.01284

Rights and permissions

This article is published under an open access license. Please check the 'Copyright Information' section either on this page or in the PDF for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.

About this article

Verify currency and authenticity via CrossMark

Cite this article

Ishibashi, N., Kishimoto, I., Masuda, T. et al. Vector profile and gauge invariant observables of string field theory solutions for constant magnetic field background. J. High Energ. Phys. 2018, 144 (2018). https://doi.org/10.1007/JHEP05(2018)144

Download citation

Keywords

  • Bosonic Strings
  • String Field Theory
  • D-branes
  • Tachyon Condensation