PERTURBATIVE DYNAMICS OF FRACTIONAL STRINGS ON MULTIPLY WOUND D-STRINGS

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Abstract
Fractional strings in the spectrum of states of open strings attached to a multiply wound D-brane is explained. We first describe the fractional string states in the low energy effective theory where the topology of multiple winding is encoded in the gauge holonomy. The holonomy induces twisted boundary conditions responsible for the fractional moding of these states. We also describe fractional strings in world sheet formulation and compute simple scattering amplitudes for Hawking emission/absorption. Generalization to fractional DN-strings in a one-brane five-brane bound state is described. When a one-brane and a five-brane wraps Q1 and Q5 times respectively around a circle, the momentum of DN-strings is quantized in units of 2π/LQ1Q5. These fractional states appear naturally in the perturbative spectrum of the theory.
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