ND Tadpoles as New String States and Quantum Mechanical Particle-Wave Duality from World-Sheet T-Duality
Abstract
We consider new objects in bosonic open string theory -- ND tadpoles, which have N(euman) boundary conditions at one end of the world-sheet and D(irichlet) at the other, must exist due to s-t duality in a string theory with both NN strings and D-branes. We demonstrate how to interpolate between N and D boundary conditions. In the case of mixed boundary conditions the action for a quantum particle is induced on the boundary. Quantum-mechanical particle-wave duality, a dual description of a quantum particle in either the coordinate or the momentum representation, is induced by world-sheet T-duality. The famous relation between compactification radii is equivalent to the quantization of the phase space area of a Planck cell. We also introduce a boundary operator - a ``Zipper'' which changes the boundary condition from N into D and vice versa.
Keywords
Cite
@article{arxiv.hep-th/9703141,
title = {ND Tadpoles as New String States and Quantum Mechanical Particle-Wave Duality from World-Sheet T-Duality},
author = {Ian I. Kogan and John F. Wheater},
journal= {arXiv preprint arXiv:hep-th/9703141},
year = {2009}
}
Comments
10 pages plain LateX2e, 4 eps figures included using epsf. Revised version with extra references