On open superstring partition function in inhomogeneous rolling tachyon background

Details On open superstring partition function in inhomogeneous rolling tachyon background On open superstring partition function in inhomogeneous rolling tachyon background

2003-10-27

arxiv.org/abs/hep-th/0310253v3

JHEP 0312:025,2003

Physics

High Energy Physics

High Energy Physics - Theory

32p, latex, v2: introduction revised to expand and correct comments on the paper by Kutasov and Niarchos, v3: corrected typos

Scientific paper

10.1088/1126-6708/2003/12/025

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.

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