Interaction of D-string with F-string: A Path-Integral Formalism

Abstract

A path integral formalism is developed to study the interaction of an arbitrary curved Dirichlet (D-) string with elementary excitations of the fundumental (F-) string in bosonic string theory. Up to the next to leading order in the derivative expansion, we construct the properly renormalized vertex operator, which generalizes the one previously obtained for a D-particle moving along a curved trajectory. Using this vertex, an attempt is further made to quantize the D-string coordinates and to compute the quantum amplitude for scattering between elementary excitations of the D- and F-strings. By studying the dependence on the Liouville mode for the D-string, it is found that the vertex in our approximation consists of an infinite tower of local vertex operators which are conformally invariant on their respective mass-shell. This analysis indicates that, unlike the D-particle case, an off-shell extension of the interaction vertex would be necessary to compute the full amplitude and that the realization of symmetry can be quite non-trivial when the dual extended objects are simultaneously present. Possible future directions are suggested.

23 pages, latex, no figures

References in corpus (5)

• A Large-N Reduced Model as Superstring
• Kappa-Symmetry, Supersymmetry and Intersecting Branes
• Matrix Theory
• Covariant Quantization of D-branes
• Covariant Quantization of The Super-D-string

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• Partition Function on Not-flat Brane