On odd number of fermion zero modes on solitons in quantum field theory and string/M theory
arXiv:2205.13185 · doi:10.1007/JHEP09(2022)043
Abstract
We argue that having an odd number of Majorana fermion zero modes on a dynamical point-like soliton signifies an inconsistency in a theory with 3+1 and higher dimensions. We check this statement in a couple of examples in field theory and in string/M theory.
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References in corpus (16)
- Unpaired Majorana fermions in quantum wires
- Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
- Black Hole Entropy in M-Theory
- On Flux Quantization In M-Theory And The Effective Action
- Five-Brane Effective Action In M-Theory
- D=11, p=5
- Covariant Field Equations of the M Theory Five-Brane
- Majorana Fermions and Non-Abelian Statistics in Three Dimensions
- A New SU(2) Anomaly
- Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions
- M-Fivebrane from the Open Supermembrane
- Weakly-Coupled non-Abelian Anyons in Three Dimensions
- Topological modular forms and the absence of all heterotic global anomalies
- Non-Abelian statistics versus the Witten anomaly
- Global gravitational anomaly cancellation for five-branes
- Witten Anomaly in 4d Heterotic Compactificaitons with N = 2 Supersymmetry