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On open superstring partition function in inhomogeneous rolling tachyon background

2003/10/31 by A. Fotopoulos, Angelos Fotopoulos, A. A. Tseytlin +1
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Order (exchange) #Partition function (quantum field theory) #Superstring theory #Tachyon #Tachyon condensation #Tachyonic field #hep-th

paper · pdf · doi:10.1088/1126-6708/2003/12/025

published as JHEP 0312:025,2003 · 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

openalex publication_date 2003/12/15 · arxiv created 2004/01/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We consider open superstring partition function Z on the disc in time-dependent tachyon background T= f(xi) em x0 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= f0 + qi xi 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.

Citations