https://doi.org/10.1140/epjc/s10052-024-12888-2
Regular Article - Theoretical Physics
Energy from Ellwood invariant for solutions involving 
variables
Degree Programs in Pure and Applied Sciences, Graduate School of Science and Technology, University of Tsukuba, 305-8571, Tsukuba, Ibaraki, Japan
Received:
26
August
2023
Accepted:
6
May
2024
Published online:
6
June
2024
For some classical solutions 
in Witten’s bosonic string field theory, it was proven that energy of the solution is proportional to the Ellwood invariant 
with 
. We examine the relation for solutions involving variables. As a result, we obtain that the relation may not hold for such solutions. Namely, there is a possibility that the energy is not proportional to the Ellwood invariant.
© The Author(s) 2024
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