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arXiv · 2611.03941

Hamiltonian of open string field theory for time-dependent solutions

Vinícius Bernardes·Riccardo Poletti
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Abstract

Using the recently introduced expression for conserved charges of $L_\infty$ theories, we give an explicit form for the Hamiltonian of Witten's bosonic open string field theory. We evaluate it on the Erler-Maccaferri analytic solution, describing any D$p$-brane configuration associated to a BCFT. We use the expression to compute the energy of the rolling tachyon solution and find exact agreement with the boundary state result by Sen.

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Vinícius Bernardes, Riccardo Poletti. 2026-11-02. Hamiltonian of open string field theory for time-dependent solutions. https://arxiv.org/abs/2611.03941

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