Abstract
Using the level truncation method, we construct numerical solutions, which are twist even and SU(1) singlet, in the theory around the Takahashi-Tanimoto identity-based solution (TT solution) with a real parameter a in the framework of bosonic open string field theory. We find solutions corresponding to “double brane” and “ghost brane” solutions which were constructed by Kudrna and Schnabl in the conventional theory around the perturbative vacuum. Our solutions show somewhat similar a-dependence to tachyon vacuum and single brane solutions, which we found in the earlier works. In this sense, we might be able to expect that they are consistent with the conventional interpretation of a-dependence of the TT solution. We observe that numerical complex solutions at low levels become real ones at higher levels for some region of the parameter a. However, these real solutions do not so improve interpretation for double brane.
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References
A. Sen and B. Zwiebach, Tachyon condensation in string field theory, JHEP 03 (2000) 002 [hep-th/9912249] [INSPIRE].
N. Moeller and W. Taylor, Level truncation and the tachyon in open bosonic string field theory, Nucl. Phys. B 583 (2000) 105 [hep-th/0002237] [INSPIRE].
D. Gaiotto and L. Rastelli, Experimental string field theory, JHEP 08 (2003) 048 [hep-th/0211012] [INSPIRE].
I. Kishimoto, On numerical solutions in open string field theory, Prog. Theor. Phys. Suppl. 188 (2011) 155 [INSPIRE].
M. Kudrna and M. Schnabl, Universal solutions in open string field theory, arXiv:1812.03221 [INSPIRE].
T. Takahashi and S. Tanimoto, Marginal and scalar solutions in cubic open string field theory, JHEP 03 (2002) 033 [hep-th/0202133] [INSPIRE].
I. Kishimoto and T. Takahashi, Open string field theory around universal solutions, Prog. Theor. Phys. 108 (2002) 591 [hep-th/0205275] [INSPIRE].
T. Takahashi, Tachyon condensation and universal solutions in string field theory, Nucl. Phys. B 670 (2003) 161 [hep-th/0302182] [INSPIRE].
I. Kishimoto and T. Takahashi, Vacuum structure around identity based solutions, Prog. Theor. Phys. 122 (2009) 385 [arXiv:0904.1095] [INSPIRE].
I. Kishimoto and T. Takahashi, Exploring vacuum structure around identity-based solutions, Theor. Math. Phys. 163 (2010) 717 [arXiv:0910.3026] [INSPIRE].
N. Ishibashi, Comments on Takahashi-Tanimoto’s scalar solution, JHEP 02 (2015) 168 [arXiv:1408.6319] [INSPIRE].
I. Kishimoto, T. Masuda and T. Takahashi, Observables for identity-based tachyon vacuum solutions, PTEP 2014 (2014) 103B02 [arXiv:1408.6318] [INSPIRE].
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].
I. Ellwood, The Closed string tadpole in open string field theory, JHEP 08 (2008) 063 [arXiv:0804.1131] [INSPIRE].
M. Schnabl, Analytic solution for tachyon condensation in open string field theory, Adv. Theor. Math. Phys. 10 (2006) 433 [hep-th/0511286] [INSPIRE].
H. Hata and S. Shinohara, BRST invariance of the nonperturbative vacuum in bosonic open string field theory, JHEP 09 (2000) 035 [hep-th/0009105] [INSPIRE].
T. Baba and N. Ishibashi, Energy from the gauge invariant observables, JHEP 04 (2013) 050 [arXiv:1208.6206] [INSPIRE].
M. Asano and M. Kato, New covariant gauges in string field theory, Prog. Theor. Phys. 117 (2007) 569 [hep-th/0611189] [INSPIRE].
I. Kishimoto and T. Takahashi, Numerical evaluation of gauge invariants for a-gauge solutions in open string field theory, Prog. Theor. Phys. 121 (2009) 695 [arXiv:0902.0445] [INSPIRE].
I. Kishimoto and T. Takahashi, Numerical evaluation of gauge invariants for a-gauge solutions in open string field theory, Theor. Math. Phys. 163 (2010) 710 [arXiv:0910.3025] [INSPIRE].
E. Aldo Arroyo and M. Kudrna, Numerical solution for tachyon vacuum in the Schnabl gauge, JHEP 02 (2020) 065 [arXiv:1908.05330] [INSPIRE].
M. Schnabl, Constraints on the tachyon condensate from anomalous symmetries, Phys. Lett. B 504 (2001) 61 [hep-th/0011238] [INSPIRE].
I. Kishimoto, Numerical evaluation of quadratic identities for classical solutions in open string field theory (in Japanese), to be published in Studies in Liberal Arts and Sciences, Tokyo University of Science.
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ArXiv ePrint: 2011.08378
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Kishimoto, I., Takahashi, T. Numerical twist-even SU(1,1)-singlet solutions in open string field theory around the identity-based solution. J. High Energ. Phys. 2021, 133 (2021). https://doi.org/10.1007/JHEP02(2021)133
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DOI: https://doi.org/10.1007/JHEP02(2021)133