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On nontrivial solutions around a marginal solution in cubic superstring field theory

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Abstract

We construct tachyon vacuum and half-brane solutions, using an extension of KBc algebra, in the theory around a type of identity-based marginal solutions in modified cubic superstring field theory. With explicit computations, we find that their vacuum energies are the same as those of corresponding solutions around the original theory. It implies that the vacuum energy for the identity-based marginal solution vanishes although straightforward computation of it is subtle. We also evaluate the gauge invariant overlaps for those nontrivial solutions. The values for them are deformed according to the marginal solution in the same way as the case of bosonic string field theory.

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References

  1. Y. Okawa, Comments on Schnabl’s analytic solution for tachyon condensation in Witten’s open string field theory, JHEP 04 (2006) 055 [hep-th/0603159] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  2. S. Inatomi, I. Kishimoto and T. Takahashi, Tachyon Vacuum of Bosonic Open String Field Theory in Marginally Deformed Backgrounds, arXiv:1209.4712 [INSPIRE].

  3. T. Takahashi and S. Tanimoto, Wilson lines and classical solutions in cubic open string field theory, Prog. Theor. Phys. 106 (2001) 863 [hep-th/0107046] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. T. Takahashi and S. Tanimoto, Marginal and scalar solutions in cubic open string field theory, JHEP 03 (2002) 033 [hep-th/0202133] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. I. Kishimoto and T. Takahashi, Marginal deformations and classical solutions in open superstring field theory, JHEP 11 (2005) 051 [hep-th/0506240] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  6. T. Erler and M. Schnabl, A Simple Analytic Solution for Tachyon Condensation, JHEP 10 (2009) 066 [arXiv:0906.0979] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  7. F. Katsumata, T. Takahashi and S. Zeze, Marginal deformations and closed string couplings in open string field theory, JHEP 11 (2004) 050 [hep-th/0409249] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. C.R. Preitschopf, C.B. Thorn and S.A. Yost, Superstring field theory, Nucl. Phys. B 337 (1990) 363 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. I.Y. Arefeva, P. Medvedev and A. Zubarev, New representation for string field solves the consistency problem for open superstring field theory, Nucl. Phys. B 341 (1990) 464 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  10. I.Y. Arefeva, P. Medvedev and A. Zubarev, Background formalism for superstring field theory, Phys. Lett. B 240 (1990) 356 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  11. T. Erler, Tachyon Vacuum in Cubic Superstring Field Theory, JHEP 01 (2008) 013 [arXiv:0707.4591] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. I.Y. Aref’eva, A. Koshelev, D. Belov and P. Medvedev, Tachyon condensation in cubic superstring field theory, Nucl. Phys. B 638 (2002) 3 [hep-th/0011117] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  13. I.Y. Aref’eva, R.V. Gorbachev, D.A. Grigoryev, P.N. Khromov, M.V. Maltsev and P. B. Medvedev, Pure Gauge Configurations and Tachyon Solutions to String Field Theories Equations of Motion, JHEP 05 (2009) 050 [arXiv:0901.4533] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  14. R. Gorbachev, New solution of the superstring equation of motion, Theor. Math. Phys. 162 (2010) 90 [INSPIRE].

    Article  MathSciNet  MATH  Google Scholar 

  15. E.A. Arroyo, Generating Erler-Schnabl-type Solution for Tachyon Vacuum in Cubic Superstring Field Theory, J. Phys. A 43 (2010) 445403 [arXiv:1004.3030] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  16. E. Aldo Arroyo, Multibrane solutions in cubic superstring field theory, JHEP 06 (2012) 157 [arXiv:1204.0213] [INSPIRE].

    Article  ADS  Google Scholar 

  17. T. Erler, Exotic Universal Solutions in Cubic Superstring Field Theory, JHEP 04 (2011) 107 [arXiv:1009.1865] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. T. Erler, Marginal Solutions for the Superstring, JHEP 07 (2007) 050 [arXiv:0704.0930] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  19. Y. Okawa, Analytic solutions for marginal deformations in open superstring field theory, JHEP 09 (2007) 084 [arXiv:0704.0936] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  20. Y. Okawa, Real analytic solutions for marginal deformations in open superstring field theory, JHEP 09 (2007) 082 [arXiv:0704.3612] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  21. E. Fuchs and M. Kroyter, Marginal deformation for the photon in superstring field theory, JHEP 11 (2007) 005 [arXiv:0706.0717] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. M. Kiermaier and Y. Okawa, General marginal deformations in open superstring field theory, JHEP 11 (2009) 042 [arXiv:0708.3394] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  23. N. Mohammedi, On bosonic and supersymmetric current algebras for nonsemisimple groups, Phys. Lett. B 325 (1994) 371 [hep-th/9312182] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  24. M. Kohriki, T. Kugo and H. Kunitomo, Gauge Fixing of Modified Cubic Open Superstring Field Theory, Prog. Theor. Phys. 127 (2012) 243 [arXiv:1111.4912] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  25. M. Schnabl, Analytic solution for tachyon condensation in open string field theory, Adv. Theor. Math. Phys. 10 (2006) 433 [hep-th/0511286] [INSPIRE].

    MathSciNet  MATH  Google Scholar 

  26. I. Kishimoto, Comments on gauge invariant overlaps for marginal solutions in open string field theory, Prog. Theor. Phys. 120 (2008) 875 [arXiv:0808.0355] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  27. T. Baba and N. Ishibashi, Energy from the gauge invariant observables, arXiv:1208.6206 [INSPIRE].

  28. S. Inatomi, I. Kishimoto and T. Takahashi, Homotopy Operators and Identity-Based Solutions in Cubic Superstring Field Theory, JHEP 10 (2011) 114 [arXiv:1109.2406] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  29. P.H. Ginsparg, Applied conformal field theory, hep-th/9108028 [INSPIRE].

  30. 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].

    Article  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Nara Women’s University, Nara, 630-8506, Japan

    Shoko Inatomi & Tomohiko Takahashi

  2. Faculty of Education, Niigata University, Niigata, 950-2181, Japan

    Isao Kishimoto

Authors
  1. Shoko Inatomi
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  2. Isao Kishimoto
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  3. Tomohiko Takahashi
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Correspondence to Isao Kishimoto.

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ArXiv ePrint: 1209.6107

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Inatomi, S., Kishimoto, I. & Takahashi, T. On nontrivial solutions around a marginal solution in cubic superstring field theory. J. High Energ. Phys. 2012, 71 (2012). https://doi.org/10.1007/JHEP12(2012)071

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  • DOI: https://doi.org/10.1007/JHEP12(2012)071

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