Potential and mass-matrix in gauged<i>N</i>= 4 supergravity

Roo, M. de; Westra, Dennis B.; Panda, Sudhakar; Trigiante, Mario

doi:10.1088/1126-6708/2003/11/022

Cited by 27 publications

(23 citation statements)

References 27 publications

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“…This confirms that the sGoldstini point in approximately the right direction, i.e. are related to the unstable directions in the models of [3,4]. However, the sGoldstini are not necessarily mass eigenvalues, and hence are not necessarily identical to the tachyonic directions.…”

Section: Comparison To Literaturesupporting

confidence: 62%

“…in D = 4 are unstable [1][2][3][4][5]. Up to very recently, the same appeared to hold for nonsupersymmetric AdS solutions [6][7][8][9].…”

Section: Jhep05(2011)102mentioning

confidence: 74%

“…[5]), or only one of these non-vanishing (see e.g. [3,4]). The latter case has either full supersymmetry with f (+) , or has fully broken supersymmetry in the gravity sector due to f (-) or the matter sector due to f (1) .…”

Section: Jhep05(2011)102mentioning

confidence: 99%

“…A comparison to the work of [3,4] is in order at this point. In this work, all semisimple gauge groups leading to critical points were derived for the special case of six vector multiplets, i.e.…”

Section: Comparison To Literaturementioning

confidence: 99%

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Metastable supersymmetry breaking in extended supergravity

Borghese

Roest

2011

J. High Energ. Phys.

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Abstract:We consider the stability of non-supersymmetric critical points of general N = 4 supergravities. A powerful method to analyse this issue based on the sGoldstino direction has been developed for minimal supergravity. We adapt this to the present case, and address the conceptually new features arising for extended supersymmetry. As an application, we investigate the stability when supersymmetry breaking proceeds via either the gravity or the matter sector. Finally, we outline the N = 8 case.

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Section: Comparison To Literaturesupporting

confidence: 62%

“…in D = 4 are unstable [1][2][3][4][5]. Up to very recently, the same appeared to hold for nonsupersymmetric AdS solutions [6][7][8][9].…”

Section: Jhep05(2011)102mentioning

confidence: 74%

Section: Jhep05(2011)102mentioning

confidence: 99%

Section: Comparison To Literaturementioning

confidence: 99%

See 2 more Smart Citations

Metastable supersymmetry breaking in extended supergravity

Borghese

Roest

2011

J. High Energ. Phys.

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“…[3,34,35]) for critical points. In some interesting cases (like for twisted tori), the effective theory is N = 4 gauged supergravities [36,37] which facilitate a systematic scanning for de Sitter critical points [38,39].…”

Section: Jhep09(2009)114mentioning

confidence: 99%

Towards classical de Sitter solutions in string theory

Danielsson

Haque

Shiu

et al. 2009

J. High Energy Phys.

149

221

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We investigate the type II string effective potential at tree-level and derive necessary ingredients for having de Sitter solutions in orientifold models with fluxes. Furthermore, we examine some explicit O6 compactifications in IIA supergravity on manifolds with SU(3)-structure in the limit where the orientifold sources are smeared. In particular, we use a simple ten-dimensional Ansatz for four-dimensional de Sitter solutions and find the explicit criteria in terms of the torsion classes such that these de Sitter solutions solve the equations of motion. We have verified these torsion conditions for the cosets and the Iwasawa manifold and it turns out that the conditions cannot be fulfilled for these spaces. However this investigation allows us to find new non-supersymmetric AdS solutions for some cosets. It remains an open question whether there exist SU(3)-structure manifolds that satisfy the conditions on the torsion classes for the simple de Sitter solutions to exist. 5 Discussion 20 A Form conventions and useful formulae 22 B 10D Einstein and dilaton equation 23 C IIA SUGRA 25 D SU(3)-structure equations 25

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Supergravity gaugings and moduli superpotentials

Derendinger

2006

Fortschritte der Physik

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These lecture notes describe the method of N = 4 supergravity gaugings used as a four-dimensional effective Lagrangian description of the moduli superpotentials generated by superstring vacua with fluxes. 367of compactifications with fluxes in many classes of superstring backgrounds. 1 This approach of the moduli problem is not the subject of the present notes.The second approach uses four-dimensional effective Lagrangians. The idea underlying the effective field theory method is to translate the known properties, and in particular the symmetry content, of the underlying fundamental theory into constraints on a field theory description of the light (four-dimensional) modes only. This effective field theory is then a tool to investigate various aspects of the expected low-energy physics predicted by the fundamental theory. It is also used to isolate the situations relevant to phenomenology and then the classes of vacua deserving a full-fledged, ten-dimensional study. The effective Lagrangian approach can be viewed as a bottom-up approach, in contrast to the top-down method provided by direct studies of compactifications with fluxes in classes of string vacua.Superstring vacua relevant to phenomenology have sixteen supercharges. This large class of solutions includes in particular heterotic (and type I) strings and type II orientifolds. In four dimensions, sixteen supercharges lead to N = 4 supergravity coupled to the N = 4 super-Yang-Mills system. This theory has a severely restricted structure. The sigma-model defining its scalar sector is for instance unique. In fact, the only freedom to introduce parameters in N = 4 supergravity resides in the choice of gauging applied to its vector fields and multiplets. Hence, a gauged N = 4 supergravity treatment of the massless modes of superstring compactifications, supplemented with a breaking mechanism to N = 1 for potentially realistic compactifications, seems an appropriate starting point for an effective Lagrangian description of string compactifications: it is expected that the gauging parameters of the effective N = 4 supergravity theory encode the data of underlying string vacua, including non-trivial fluxes. This approach of N = 4 supergravity gaugings used for the derivation and study of moduli superpotentials has been developed in [6] 2 , and expanded to the inclusion of non-perturbative gaugino condensates in [8].The purpose of the present notes 3 is to describe the method of supergravity gaugings in relation with the effective description of string moduli physics. They do not however discuss the application of the method to the study of specific physics problems or classes of compactifications with fluxes. The next four sections describe in general terms various aspects of field theory and supergravity gaugings, starting with elementary considerations. After a detailed discussion of the relevant aspects of N = 4 supergravity (Sect. 6), the specific use of N = 4 supergravity gaugings to describe moduli effective supergravities is the subject of sections 7, whic...

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Potential and mass-matrix in gaugedN= 4 supergravity

Cited by 27 publications

References 27 publications

Metastable supersymmetry breaking in extended supergravity

Metastable supersymmetry breaking in extended supergravity

Towards classical de Sitter solutions in string theory

Supergravity gaugings and moduli superpotentials

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