2003/04/18 by Noriaki Kitazawa · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1103/physrevd.68.026005
published as Phys.Rev. D68 (2003) 026005 · 15 pages
arxiv created 2003/04/18 · openalex publication_date 2003/07/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The fermion propagators in the fivebrane background of type II superstring theories are calculated. The propagator can be obtained by explicitly evaluating the transition amplitude between two specific NS-R boundary states by the propagator operator in the nontrivial world-sheet conformal field theory for the fivebrane background. The propagator in the field theory limit can be obtained by using point boundary states. We can explicitly investigate the lowest-lying fermion states propagating in the nontrivial ten-dimensional space-time of the fivebrane background: M6\ifmmode×\else\texttimes\fiWk(4), where Wk(4) is the group manifold of SU(2)k\ifmmode×\else\texttimes\fiU(1). Half of the original supersymmetry is spontaneously broken, and the space-time Lorentz symmetry SO(9,1) reduces to SO(5,1) in SO(5,1)\ifmmode×\else\texttimes\fiSO(4)\ensuremath⊂SO(9,1) by the fivebrane background. We find that there are no propagations of SO(4) (local Lorentz) spinor fields, which is consistent with the arguments on the fermion zero modes in the fivebrane background of low-energy type II supergravity theories.