Kavli Affiliate: Yuji Tachikawa
| Summary:
We study wavepackets of exotic excitations after two-dimensional fermions are scattered by the boundary condition constructed by Maldacena and Ludwig, which turns elementary excitations into exotic fractionally-charged objects. They are of interest in the s-wave approximation of the fermion-monopole scattering in four-dimensional QED and of the multi-channel Kondo effect. We in particular give an explicit expression of the outgoing state of a pair of such particles; we then examine its properties, such as the charge density $langle J(x)rangle$ and the expectation value $langle Nrangle$ of the number of fermions and anti-fermions in the state. The charge density $langle J(x)rangle$ is found to be localized with its integral finite and fractional, while the expectation value $langle Nrangle$ diverges when the wavepacket is localized to a point.
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