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August 2006 Analytic solution for tachyon condensation in open string field theory
Martin Schnabl
Adv. Theor. Math. Phys. 10(4): 433-501 (August 2006).


We propose a new basis in Witten’s open string field theory, in which the star product simplifies considerably. For a convenient choice of gauge, the classical string field equation of motion yields straightforwardly an exact analytic solution that represents the nonperturbative tachyon vacuum. The solution is given in terms of Bernoulli numbers and the equation of motion can be viewed as novel Euler–Ramanujan-type identity. It turns out that the solution is the Euler–Maclaurin asymptotic expansion of a sum over wedge states with certain insertions. This new form is fully regular from the point of view of level truncation. By computing the energy difference between the perturbative and nonperturbative vacua, we prove analytically Sen’s first conjecture.


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Martin Schnabl. "Analytic solution for tachyon condensation in open string field theory." Adv. Theor. Math. Phys. 10 (4) 433 - 501, August 2006.


Published: August 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1101.81344
MathSciNet: MR2259687

Primary: 81T30

Rights: Copyright © 2006 International Press of Boston

Vol.10 • No. 4 • August 2006
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