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Pure gauge configurations and tachyon solutions for cubic fermionic string field theory equations of motion

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Abstract

Special perturbative pure gauge solutions parameterized by a pair of wedge states are parts of the nontrivial (not purely gauge) tachyon solutions of the cubic fermionic string field theory describing the non-BPS brane true vacuum. We demonstrate explicitly that for the large parameter of the perturbation expansion, these pure gauge configurations are no longer solutions of the equations of motion. We show that this problem is solved by adding an extra term that is just the term needed for the first Sen conjecture to hold.

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Authors and Affiliations

  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    I. Ya. Aref’eva & R. V. Gorbachev

  2. Lomonosov Moscow State University, Moscow, Russia

    D. A. Grigoryev & P. N. Khromov

Authors
  1. I. Ya. Aref’eva
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  2. R. V. Gorbachev
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  3. D. A. Grigoryev
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  4. P. N. Khromov
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  5. P. B. Medvedev
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Corresponding author

Correspondence to I. Ya. Aref’eva.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 161, No. 1, pp. 63–73, October, 2009.

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Aref’eva, I.Y., Gorbachev, R.V., Grigoryev, D.A. et al. Pure gauge configurations and tachyon solutions for cubic fermionic string field theory equations of motion. Theor Math Phys 161, 1376–1384 (2009). https://doi.org/10.1007/s11232-009-0123-2

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  • DOI: https://doi.org/10.1007/s11232-009-0123-2

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