Boundary and midpoint behaviors of lump solutions in vacuum string field theory
- Creators
- Hata, Hiroyuki
- Moriyama, Sanefumi
Abstract
We discuss various issues concerning the behaviors near the boundary (sigma=0,pi) and the midpoint (sigma=pi/2) of the open string coordinate X(sigma) and its conjugate momentum P(sigma)=-i delta/delta X(sigma) acting on the matter projectors of vacuum string field theory. Our original interest is in the dynamical change of the boundary conditions of the open string coordinate from the Neumann one in the translationally invariant backgrounds to the Dirichlet one in the D-brane backgrounds. We find that the Dirichlet boundary condition is realized on a lump solution only partially and only when its parameter takes a special value. On the other hand, the string midpoint has a mysterious property: it obeys the Neumann (Dirichlet) condition in the translationally invariant (lump) background.
Additional Information
© 2005 The American Physical Society. Received 24 May 2005; published 16 August 2005. We would like to thank H. Ooguri and S. Teraguchi for valuable discussions and comments. S. M. is also grateful to theoretical particle physics group of Department of Physics, Kyoto University for hospitality. The work of H. H. was supported in part by the Grant-in-Aid for Scientific Research, Contract No. 15540268 from Japan Society for the Promotion of Science (JSPS). The work of S. M. was supported in part by the DOE Grant No. DE-FG03-92-ER40701.Attached Files
Published - HATprd05.pdf
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Additional details
- Eprint ID
- 3407
- Resolver ID
- CaltechAUTHORS:HATprd05
- Japan Society for the Promotion of Science (JSPS)
- 15540268
- Department of Energy (DOE)
- DE-FG03-92-ER40701
- Created
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2006-06-06Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field