Pure Gauge Configurations and Tachyon Solutions to String Field Theories Equations of Motion

Understand

In constructions of analytical solutions to open string field theories pure gauge configurations parameterized by wedge states play an essential role.

• These pure gauge configurations are constructed as perturbation expansions and to guaranty that these configurations are asymptotical solutions to equations of motions one needs to study convergence of the perturbation expansions.
• We demonstrate that for the large parameter of the perturbation expansion these pure gauge truncated configurations give divergent contributions to the equation of motion on the subspace of the wedge states.
• We perform this demonstration numerically for the pure gauge configurations related to tachyon solutions for the bosonic and the NS fermionic SFT.