Momentum space topology of fermion zero modes brane |
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Authors: | G E Volovik |
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Institution: | (1) Low Temperature Laboratory, Helsinki University of Technology, FIN-02015 HUT, Finland;(2) Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 117940, Russia |
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Abstract: | We discuss fermion zero modes within the 3+1 brane, i.e., the domain wall between the two vacua in 4+1 spacetime. We do not assume relativistic invariance in 4+1 spacetime or any special form of the 4+1 action. The only input is that the fermions in bulk are fully gapped and are described by a nontrivial momentum-space topology. Then the 3+1 wall between such vacua contains chiral 3+1 fermions. The bosonic collective modes in the wall form the gauge and gravitational fields. In principle, this universality class of fermionic vacua can contain all the ingredients of the Standard Model and gravity. |
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