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The energy of the analytic lump solution in SFT

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Abstract

In a previous paper a method was proposed to find exact analytic solutions of open string field theory describing lower dimensional lumps, by incorporating in string field theory an exact renormalization group flow generated by a relevant operator in a worldsheet CFT. In this paper we compute the energy of one such solution, which is expected to represent a D24 brane. We show, both numerically and analytically, that its value corresponds to the theoretically expected one.

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References

  1. L. Bonora, C. Maccaferri and D.D. Tolla, Relevant deformations in open string field theory: a simple solution for lumps, arXiv:1009.4158 [SPIRES].

  2. E. Witten, Noncommutative geometry and string field theory, Nucl. Phys. B 268 (1986) 253 [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  3. A. Sen, Descent relations among bosonic D-branes, Int. J. Mod. Phys. A 14 (1999) 4061 [hep-th/9902105] [SPIRES].

    ADS  Google Scholar 

  4. A. Sen, Universality of the tachyon potential, JHEP 12 (1999) 027 [hep-th/9911116] [SPIRES].

    Article  ADS  Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  6. 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] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  8. L. Rastelli and B. Zwiebach, Solving open string field theory with special projectors, JHEP 01 (2008) 020 [hep-th/0606131] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  9. Y. Okawa, L. Rastelli and B. Zwiebach, Analytic solutions for tachyon condensation with general projectors, hep-th/0611110 [SPIRES].

  10. E. Fuchs and M. Kroyter, On the validity of the solution of string field theory, JHEP 05 (2006) 006 [hep-th/0603195] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  11. T. Erler, Split string formalism and the closed string vacuum, JHEP 05 (2007) 083 [hep-th/0611200] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  12. T. Erler, Split string formalism and the closed string vacuum. II, JHEP 05 (2007) 084 [hep-th/0612050] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  13. T. Erler, Tachyon vacuum in cubic superstring field theory, JHEP 01 (2008) 013 [arXiv:0707.4591] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  14. 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] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  15. S. Zeze, Tachyon potential in KBc subalgebra, Prog. Theor. Phys. 124 (2010) 567 [arXiv:1004.4351] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  16. S. Zeze, Regularization of identity based solution in string field theory, JHEP 10 (2010) 070 [arXiv:1008.1104] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  17. E.A. Arroyo, Comments on regularization of identity based solutions in string field theory, JHEP 11 (2010) 135 [arXiv:1009.0198] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  18. M. Murata and M. Schnabl, On multibrane solutions in open string field theory, Prog. Theor. Phys. Suppl. 188 (2011) 50 [arXiv:1103.1382] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  19. M. Kiermaier, Y. Okawa, L. Rastelli and B. Zwiebach, Analytic solutions for marginal deformations in open string field theory, JHEP 01 (2008) 028 [hep-th/0701249] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  20. M. Schnabl, Comments on marginal deformations in open string field theory, Phys. Lett. B 654 (2007) 194 [hep-th/0701248] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  21. J. Kluson, Exact solutions in SFT and marginal deformation in BCFT, JHEP 12 (2003) 050 [hep-th/0303199] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  22. M. Kiermaier and Y. Okawa, Exact marginality in open string field theory: a general framework, JHEP 11 (2009) 041 [arXiv:0707.4472] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  23. E. Fuchs, M. Kroyter and R. Potting, Marginal deformations in string field theory, JHEP 09 (2007) 101 [arXiv:0704.2222] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  24. B.-H. Lee, C. Park and D.D. Tolla, Marginal deformations as lower dimensional D-brane solutions in open string field theory, arXiv:0710.1342 [SPIRES].

  25. O.-K. Kwon, Marginally deformed rolling tachyon around the tachyon vacuum in open string field theory, Nucl. Phys. B 804 (2008) 1 [arXiv:0801.0573] [SPIRES].

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  29. T. Erler, Marginal solutions for the superstring, JHEP 07 (2007) 050 [arXiv:0704.0930] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  30. E. Fuchs and M. Kroyter, Analytical solutions of open string field theory, Phys. Rept. 502 (2011) 89 [arXiv:0807.4722] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  31. M. Schnabl, Algebraic solutions in open string field theory — a lightning review, arXiv:1004.4858 [SPIRES].

  32. N. Moeller, A. Sen and B. Zwiebach, D-branes as tachyon lumps in string field theory, JHEP 08 (2000) 039 [hep-th/0005036] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  33. E. Witten, Some computations in background independent off-shell string theory, Phys. Rev. D 47 (1993) 3405 [hep-th/9210065] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  34. D. Kutasov, M. Mariño and G.W. Moore, Some exact results on tachyon condensation in string field theory, JHEP 10 (2000) 045 [hep-th/0009148] [SPIRES].

    Article  ADS  Google Scholar 

  35. I. Ellwood, Singular gauge transformations in string field theory, JHEP 05 (2009) 037 [arXiv:0903.0390] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  36. I. Ellwood and M. Schnabl, Proof of vanishing cohomology at the tachyon vacuum, JHEP 02 (2007) 096 [hep-th/0606142] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  37. L. Rastelli, A. Sen and B. Zwiebach, Star algebra spectroscopy, JHEP 03 (2002) 029 [hep-th/0111281] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  38. L. Bonora, C. Maccaferri, R.J. Scherer Santos and D.D. Tolla, Ghost story. I. Wedge states in the oscillator formalism, JHEP 09 (2007) 061 [arXiv:0706.1025] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  39. L. Bonora, C. Maccaferri, R.J. Scherer Santos and D.D. Tolla, Ghost story. II. The midpoint ghost vertex, JHEP 11 (2009) 075 [arXiv:0908.0055] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  40. L. Bonora, C. Maccaferri and D.D. Tolla, Ghost story. III. Back to ghost number zero, JHEP 11 (2009) 086 [arXiv:0908.0056] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  41. N. Dunford and J.T. Schwartz, Linear operators, general theory, volume I, Wiley-interscience, U.S.A. (1988).

    Google Scholar 

  42. N. Dunford and J.T. Schwartz, Linear operators, spectral theory, self adjoint operators in Hilbert space, volume II, Wiley-interscience, U.S.A. (1988).

    Google Scholar 

  43. J. Polchinski, String theory. Volume I: an introduction to the bosonic string, Cambridge University Press, Cambridge U.K. (1998) [SPIRES].

    MATH  Google Scholar 

  44. Y. Okawa, Open string states and D-brane tension from vacuum string field theory, JHEP 07 (2002) 003 [hep-th/0204012] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  45. T. Erler and C. Maccaferri, Comments on lumps from RG flows, arXiv:1105.6057 [SPIRES].

  46. L. Bonora, S. Giaccari and D.D. Tolla, Analytic solutions for Dp branes in SFT, arXiv:1106.3914 [SPIRES].

  47. L. Bonora, S. Giaccari and D.D. Tolla, Lump solutions in SFT — complements, in preparation.

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Authors and Affiliations

  1. International School for Advanced Studies (SISSA), Via Bonomea 265, 34136, Trieste, Italy

    L. Bonora & S. Giaccari

  2. INFN, Sezione di Trieste, Trieste, Italy

    L. Bonora & S. Giaccari

  3. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502, Japan

    L. Bonora

  4. Department of Physics and University College, Sungkyunkwan University, Suwon, 440-746, South Korea

    D. D. Tolla

Authors
  1. L. Bonora
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  2. S. Giaccari
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  3. D. D. Tolla
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Correspondence to L. Bonora.

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ArXiv ePrint: hep-th/1105.5926

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Bonora, L., Giaccari, S. & Tolla, D.D. The energy of the analytic lump solution in SFT. J. High Energ. Phys. 2011, 158 (2011). https://doi.org/10.1007/JHEP08(2011)158

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  • DOI: https://doi.org/10.1007/JHEP08(2011)158

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