Momentum Space Topology of Fermion Zero Modes on Brane
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 momentumspace 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.
 Publication:

Soviet Journal of Experimental and Theoretical Physics Letters
 Pub Date:
 January 2002
 DOI:
 10.1134/1.1466475
 arXiv:
 arXiv:grqc/0112016
 Bibcode:
 2002JETPL..75...55V
 Keywords:

 04.50.+h;
 11.25.Mj;
 11.27.+d;
 73.43.‑f;
 General Relativity and Quantum Cosmology;
 Condensed Matter;
 High Energy Physics  Phenomenology
 EPrint:
 LaTeX file, 8 pages, no figures, version accepted in JETP Letters