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The identity string field and the tachyon vacuum

Ellwood, I., Feng, B., He, Y. and Moeller, N. (2001). The identity string field and the tachyon vacuum. Journal of High Energy Physics, 2001(016), doi: 10.1088/1126-6708/2001/07/016


We show that the triviality of the entire cohomology of the new BRST operator Q around the tachyon vacuum is equivalent to the Q-exactness of the identity I of the star-algebra. We use level truncation to show that as the level is increased, the identity becomes more accurately Q-exact. We carry our computations up to level nine, where an accuracy of 3% is attained. Our work supports, under a new light, Sen's conjecture concerning the absence of open string degrees of freedom around the tachyon vacuum. As a by-product, a new and simple expression for I in terms of Virasoro operators is found.

Publication Type: Article
Additional Information: The original publication is available at archiveprefix: arXiv primaryclass: hep-th
Publisher Keywords: Bosonic strings, BRST symmetry, gauge symmetry
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
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