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PreprintCC BY 4.0arXiv

Hamiltonian of open string field theory for time-dependent solutions

Abstract

Using the recently introduced expression for conserved charges of L∞ 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 Dp-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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BibTeX
@misc{bernardes2026hamiltonian,
  title = {{Hamiltonian of open string field theory for time-dependent solutions}},
  author = {Vinícius Bernardes and Riccardo Poletti},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03941},
  eprint = {2611.03941},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03941},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Hamiltonian of open string field theory for time-dependent solutions
AU  - Vinícius Bernardes
AU  - Riccardo Poletti
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03941
UR  - https://arxiv.org/abs/2611.03941
AB  - Using the recently introduced expression for conserved charges of L_∞ 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 Dp-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.
ER  -