2005
DOI: 10.1103/physrevlett.94.081601
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Lorentz Violation in Supersymmetric Field Theories

Abstract: We construct supersymmetric Lorentz violating operators for matter and gauge fields. We show that in the supersymmetric Standard Model the lowest possible dimension for such operators is five, and therefore they are suppressed by at least one power of an ultra-violet energy scale, providing a possible explanation for the smallness of Lorentz violation and its stability against radiative corrections. Supersymmetric Lorentz noninvariant operators do not lead to modifications of dispersion relations at high energ… Show more

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Cited by 171 publications
(239 citation statements)
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“…There have been a few active attempts [33,34] over the last decade to construct Lorentz-violating operators for matter and gauge fields in the supersymmetric standard model through their interactions with external vector and tensor field backgrounds. These backgrounds, according to the SME approach [18][19][20] discussed above, are generated by some Lorentz-violating dynamics at an ultraviolet scale of order the Planck scale.…”
Section: Lorentz Violation and Supersymmetry The Present Papermentioning
confidence: 99%
“…There have been a few active attempts [33,34] over the last decade to construct Lorentz-violating operators for matter and gauge fields in the supersymmetric standard model through their interactions with external vector and tensor field backgrounds. These backgrounds, according to the SME approach [18][19][20] discussed above, are generated by some Lorentz-violating dynamics at an ultraviolet scale of order the Planck scale.…”
Section: Lorentz Violation and Supersymmetry The Present Papermentioning
confidence: 99%
“…A partial list of references is given in [8,9]. Additionally, effective field theories, not necessarily related to quantum gravity, have been put forward to analyze the possible consequences of LIV [10,11]. In this work we restrict ourselves to classical theories, and therefore we do not address the fine-tuning problems arising from quantum corrections associated with the coexistence of space granularity and preferred reference frames [12].…”
Section: Introductionmentioning
confidence: 99%
“…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.…”
Section: Introductionmentioning
confidence: 99%