On open superstring partition function in inhomogeneous rolling tachyon background
Abstract
We consider open superstring partition function Z on the disc in time-dependent tachyon background T= f(x_i) e^{m x_0} where the profile function f depends on spatial coordinates. We compute Z to second order in derivatives of f and compare the result with some previously suggested effective actions depending only on the first derivatives of the tachyon field. We also compute the target-space stress-energy tensor in this background and demonstrate its conservation in the ``on-shell'' case of the linear profile f= f_0 + q_i x_i corresponding to a marginal perturbation. We comment on the role of the rolling tachyon with linear spatial profile in the decay of an unstable D-brane.
Keywords
Cite
@article{arxiv.hep-th/0310253,
title = {On open superstring partition function in inhomogeneous rolling tachyon background},
author = {A. Fotopoulos and A. A. Tseytlin},
journal= {arXiv preprint arXiv:hep-th/0310253},
year = {2009}
}
Comments
32p, latex, v2: introduction revised to expand and correct comments on the paper by Kutasov and Niarchos, v3: corrected typos and formulas in section 4, final version to appear in JHEP