Gauge corrections and FI-term in 5D KK theories

Ghilencea, D. M.; Nibbelink, Stefan Groot; Nilles, Hans Peter

doi:10.1016/s0550-3213(01)00496-5

Cited by 84 publications

(153 citation statements)

References 19 publications

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“…Dimensional analysis tells us that the naive divergence of these diagrams will be at most linear ͑and not quadratic͒, as expected for a boundary operator or, in other words, the sum over KK modes is convergent. This is clear in the massless limit where, if n 1 ϩn 2 ϩn 3 is odd, only 8 What is actually relevant is the relative sign between the mass and ⌫ 5 . Indeed, in five dimensions there are two inequivalent representations for ⌫ 5 which differ by a sign.…”

Section: Discussionmentioning

confidence: 99%

“…This means that only a fermion with positive mass can play the role of a PV regulator. 8 Now that we have shown the basic formulas, we introduce the first regulator, which consists of replacing the fermion kinetic term in Eq. ͑A1͒ with "i‫ץ‬ " ϪM ͑ y ͒…→"i‫ץ‬ " ϪM ͑ y ͒…e ⑀"i‫ץ‬ " ϩM (y)…"i‫ץ‬ " ϪM (y)… , ͑A6͒…”

Section: Discussionmentioning

confidence: 99%

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Anomalies, Fayet-Iliopoulos terms, and the consistency of orbifold field theories

et al. 2002

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We study the consistency of orbifold field theories and clarify to what extent the condition of having an anomaly-free spectrum of zero modes is sufficient to guarantee it. Preservation of gauge invariance at the quantum level is possible, although at the price, in general, of introducing operators that break the 5D local parity. These operators are, however, perfectly consistent with the orbifold projection. We also clarify the relation between localized Fayet-Iliopoulos ͑FI͒ terms and anomalies. These terms can be consistently added, breaking neither local supersymmetry nor gauge symmetry. In the framework of supergravity the localized FI term arises as the boundary completion of a bulk interaction term: given the bulk Lagrangian the FI is fixed by gauge invariance.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Anomalies, Fayet-Iliopoulos terms, and the consistency of orbifold field theories

et al. 2002

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“…The same happens for the alternative model [24] where gauge multiplets and SU(2) L singlets live and the bulk and SU(2) L doublets are localized on the brane. This problem is however avoided in models with a single Higgs hypermultiplet, as those based on S 1 /Z 2 × Z 2 [25], although these models develop a Fayet-Iliopoulos quadratic divergence [26].…”

Section: Radiative Determination Of Supersymmetry Breakingmentioning

confidence: 99%

Radiative Scherk–Schwarz supersymmetry breaking

2002

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We analyze the Scherk-Schwarz (SS) supersymmetry breaking in brane-world five dimensional theories compactified on the orbifold S 1 /Z 2 . The SS breaking parameter is undetermined at the tree-level (no-scale supergravity) and can be interpreted as the Hosotani vacuum expectation value corresponding to the U (1) R group in five dimensional N = 2 (ungauged) supergravity. We show that the SS breaking parameter is fixed at the loop level to either 0 or 1/2 depending on the matter content propagating in the bulk but in a rather model-independent way. Supersymmetry breaking is therefore fixed through a radiative Scherk-Schwarz mechanism. We also show that the two discrete values of the SS parameter, as well as the supersymmetry breaking shift in the spectrum of the bulk fields, are altered in the presence of a brane-localized supersymmetry breaking arising from some hidden sector dynamics. The interplay between the SS and the brane localized breaking is studied in detail.

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“…Before the compactification of the 5 Some authors [14,18] have found cuadratically divergent corrections with similar calculations, which suggests that this kind of computation is not very well established. There is also a quadratically divergent Fayet-Iliopoulos term in supersymmetric theories on orbifolds [15]. 6 In [4] a Poisson resummation is done before the proper time integral.…”

Section: Discussionmentioning

confidence: 99%