1305.6898 (J. L. Chkareuli)

Gauge Fields as Goldstone Bosons Triggered by Spontaneously Broken
Supersymmetry    [PDF]

J. L. Chkareuli

It is well known that spontaneous Lorentz invariance violation (SLIV) may lead to an emergence of massless Nambu-Goldstone modes which are identified with photons and other gauge fields in the Standard Model. We argue that the situation is changed drastically in supersymmetric theories the way that SLIV caused by an arbitrary vector superfield potential only leads to "condensation" of vector field gauge degrees of freedom thus leaving physical Lorentz symmetry intact. Nevertheless, it appears enough for generation of massless photons as vector NG bosons provided that SUSY itself is spontaneously broken in the visible sector. This is demonstrated in the SUSY broken QED model where massless photon appears as a companion of massless photino being a Goldstone fermion in tree approximation. Furthermore, the photon masslessness appearing at tree level is further protected against radiative corrections by special gauge invariance generated in the broken SUSY phase. Meanwhile, photino being mixed with another goldstino emerging from a spontaneous SUSY violation in the hidden sector largely turns into the light pseudo-goldstino. Such pseudo-goldstonic photino appears typically as the eV scale stable LSP or the electroweak scale long-lived NLSP, being in both cases accompanied by a very light gravitino, that could be considered as some observational signature in favor of emergent supersymmetric theories.

View original: http://arxiv.org/abs/1305.6898