Momentum space topology of fermion zero modes on brane

Details Momentum space topology of fermion zero modes on brane Momentum space topology of fermion zero modes on brane

2001-12-10

arxiv.org/abs/gr-qc/0112016v3

Pisma Zh.Eksp.Teor.Fiz. 75 (2002) 63-66; JETP Lett. 75 (2002) 55-58

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX file, 8 pages, no figures, version accepted in JETP Letters

Scientific paper

10.1134/1.1466475

We discuss fermion zero modes within the 3+1 brain -- 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 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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