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Marginal Deformations as Lower Dimensional D-brane Solutions in Open String Field theory
By direct calculation we showed that a finite analytic solution for marginal
deformation of open string field theory, by a matter primary operator with
singular OPE, can be obtained to all orders in the deformation parameter. In
particular, we obtained solutions that describe lower dimensional D-branes and
our results agree with the results obtained when the same problem is treated in
the world-sheet conformal field theory language.Comment: 19 pages, 4 figure
Remark on the effective potential of the gravitational perturbation in the black hole background projected on the brane
The polar perturbation is examined when the spacetime is expressed by a 4d
metric induced from higher-dimensional Schwarzschild geometry. Since the
spacetime background is not a vacuum solution of 4d Einstein equation, the
various general principles are used to understand the behavior of the
energy-momentum tensor under the perturbation. It is found that although the
general principles fix many components, they cannot fix two components of the
energy-momentum tensor. Choosing two components suitably, we derive the
effective potential which has a correct 4d limit.Comment: 12 pages, no figure, CQG accepte
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