Lorentz violating supersymmetric quantum electrodynamics

Abstract

The theory of Supersymmetric Quantum Electrodynamics is extended by interactions with external vector and tensor backgrounds, that are assumed to be generated by some Lorentz-violating (LV) dynamics at an ultraviolet scale perhaps related to the Planck scale.

Lorentz Violation in Supersymmetric Field Theories

“…(The construction works also for a single vector multiplet V ′ = V , and (16) is super gauge invariant becauseD 2 D αṼ = 0.) But the condition (15) implies that the Lagrangian (16) does not respect SUSY, sinceD…”

“…In a more realistic theory SUSY needs to be broken, and dimensions three operators may be generated but the quadratic loop divergencies are stabilized at the soft breaking scale. Details of SUSY LV phenomenology with inclusion of soft SUSY breaking and loop corrections will be investigated elsewhere [15].…”

Aspects of CPT-even Lorentz-symmetry violating physics in a supersymmetric scenario

“…We highlight the works of Refs. [43][44][45][46][47][48][49][50][51][52][53], where we have listed papers that put SUSY in direct association with models of CPT-breaking and LSV. More recently, the relationship between SUSY breaking and LSV has been discussed in the works by Chkareuli [12] and in the article by Pospelov and Tamarit [13], where these authors consider the possibility that SUSY and Lorentz-symmetry breaking have a common origin if supersymmetric matter is coupled to Horava-Lifshitz gravity.…”

Testing Lorentz Symmetry Using Chiral Perturbation Theory

“…These operators were first written down in Ref. 6 and are relevant below the electroweak scale Λ F ≃ 250 GeV, but above the QCD chiral-symmetry breaking scale Λ χ ≃ 2πF π ∼ 1 GeV, where F π ≃ 185 MeV is the pion decay constant. The natural expected size of the LV coefficients is Λ −1 LV , where Λ LV is the scale at which the LV occurs and is commonly identified with the Planck scale Λ PL ≃ 10…”