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.
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References
T. Erler and C. Maccaferri, String field theory solution for any open string background, JHEP 10 (2014) 029 [arXiv:1406.3021] [INSPIRE].
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].
B. Zwiebach, Interpolating string field theories, Mod. Phys. Lett. A 7 (1992) 1079 [hep-th/9202015] [INSPIRE].
T. Erler and M. Schnabl, A simple analytic solution for tachyon condensation, JHEP 10 (2009) 066 [arXiv:0906.0979] [INSPIRE].
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].
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].
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].
J. Polchinski, String theory. Volume 1: an introduction to the bosonic string, Cambridge Monographs on Mathematical Physics, Cambridge UNiversity Press, Cambridge U.K. (1998).
H. Grosse, C. Klimčík and P. Prešnajder, Topologically nontrivial field configurations in noncommutative geometry, Commun. Math. Phys. 178 (1996) 507 [hep-th/9510083] [INSPIRE].
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].
E. Witten, Overview of k-theory applied to strings, Int. J. Mod. Phys. A 16 (2001) 693 [hep-th/0007175] [INSPIRE].
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].
N. Ishibashi, p-branes from (p − 2)-branes in the bosonic string theory, Nucl. Phys. B 539 (1999) 107 [hep-th/9804163] [INSPIRE].
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].
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].
F. Sugino, Witten’s open string field theory in constant B field background, JHEP 03 (2000) 017 [hep-th/9912254] [INSPIRE].
T. Kawano and T. Takahashi, Open string field theory on noncommutative space, Prog. Theor. Phys. 104 (2000) 459 [hep-th/9912274] [INSPIRE].
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ArXiv ePrint: 1804.01284
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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
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DOI: https://doi.org/10.1007/JHEP05(2018)144