Ultraviolet behavior of four-dimensional σ models coupled to gravity

In an ungauged N = 1 supergravity theory defined on an arbitrary Kahlerian manifold we compute the divergent one-loop corrections to the bosonic part of the effective action. Although the theory is not renormalizable such a calculation may be of relevance in view of the fact that N = 1 supergravities emerge as effective nonrenormalizable theories in the low-energy limit of some superstring models. In our calculations we have committed ourselves neither to a particular four-dimensional geometry nor to a particular Kahlerian manifold. We pay special attention to the one-loop scalar potential of the theory. We show that, by a proper redefinition of the metric, geometric objects such as scalar curvature can be made not to interact with the scalars and the definition of the potential of the theory becomes in this way unambiguous.PACS number(s): 04.65. +e 534

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“…In this reference, as well as in Ref. [22], one can find the complete divergent scalar contribution to the curvature-and field-dependent terms.…”

Section: Introductionmentioning

confidence: 68%

Gravitational radiative corrections inN=1supergravity

Chiou-Lahanas

Kapella-Economou

et al. 1992

Phys. Rev. D

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“…Considering the mass term of (14) we see that the PV masses can indeed be made invariant under Kähler transformations if α A + α B = 1 for pairs of fields Φ A , Π B appearing in the superpotential terms in (13). Indeed, this choice gives rise to precisely the relationship in (15). 14 This cannot be true of all fields in the PV sector, however, since if so the contribution of the PV sector to Tr H 2 is always proportional to r 2 + K im D µ z i D µzm − 2V which can be removed by a Weyl redefinition.…”

Section: Resultsmentioning

confidence: 99%

“…This entails a correction to Eqs. (15), (16) and (20) of that paper; the correct relations are given in [32,33]. In Eq.…”

Section: Appendix a -General Scalar Mass Formulaementioning

confidence: 99%

On quadratic divergences in supergravity, vacuum energy and the supersymmetric flavor problem

Gaillard¹,

Nelson²

2006

Nuclear Physics B

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We examine the phenomenological consequences of quadratically divergent contributions to the scalar potential in supergravity effective Lagrangians. We focus specifically on the effect of these corrections on the vacuum configuration of scalar fields in softly-broken supersymmetric theories and the role these corrections play in generating non-diagonal soft scalar masses. Both effects can only be properly studied when the divergences are regulated in a manifestly supersymmetric manner -something which has thus far been neglected in past treatments. We show how a supersymmetric regularization can impact past conclusions about both types of phenomena and discuss what types of high-energy theories are likely to be safe from unwanted flavor-changing neutral current interactions in the context of supergravity theories derived from heterotic string compactifications.

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“…In this sense, combining our results with those of [1] and [8], we have identified all the ultraviolet divergent terms at one loop in effective bosonic lagrangian of supergravity theories, and determined the coefficients of the logarithmically divergent terms, for a flat space-time background metric. The generalization to a curved background metric is implicit in the combined results of [5], [7], [10] and (for noncanonical gauge kinetic energy) the curvature dependent parts of the operators (27)-(34) that we did not explicitly evaluate here.…”

Section: Discussionmentioning

confidence: 99%

“…The above results may be combined with previously developed techniques [5,6,7] to determine the one-loop corrections in a curved space-time background. Here we will give the results only for a flat background metric.…”

Section: Background Field Expansionmentioning

confidence: 99%