Quantum corrections to the mass of the supersymmetric vortex

D. V. Vassilevich

Quantum corrections to the mass of the supersymmetric vortex

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arxiv hep-th/0304267 v3 pith:IGB6L5WB submitted 2003-04-30 hep-th

D. V. Vassilevich This is my paper · ORCID

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keywords massvortexcorrectionsquantumsupersymmetricabelianapplybosonic

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We calculate quantum corrections to the mass of the vortex in N=2 supersymmetric abelian Higgs model in (2+1) dimensions. We put the system in a box and apply the zeta function regularization. The boundary conditions inevitably violate a part of the supersymmetries. Remaining supersymmetry is however enough to ensure isospectrality of relevant operators in bosonic and fermionic sectors. A non-zero correction to the mass of the vortex comes from finite renormalization of couplings.

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Vortex Fractional Fermion Number through Heat Kernel methods and Edge States
hep-th 2025-05 conditional novelty 6.0 of 10

For fermions on an Abrikosov-Nielsen-Olesen vortex, the vacuum fermion number equals [sgn(m+e sqrt(2) v)+sgn(m-e sqrt(2) v)] n/4, and disk edge states carry charge e/2.

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