000153472 001__ 153472 000153472 005__ 20180913060027.0 000153472 0247_ $$2doi$$a10.1088/1126-6708/2007/08/091 000153472 022__ $$a1126-6708 000153472 037__ $$aARTICLE 000153472 245__ $$aMetastable supergravity vacua with F and D supersymmetry breaking 000153472 269__ $$a2007 000153472 260__ $$c2007 000153472 336__ $$aJournal Articles 000153472 520__ $$aWe study the conditions under which a generic supergravity model involving chiral and vector multiplets can admit viable metastable vacua with spontaneously broken supersymmetry and realistic cosmological constant. To do so, we impose that on the vacuum the scalar potential and all its first derivatives vanish, and derive a necessary condition for the matrix of its second derivatives to be positive definite. We study then the constraints set by the combination of the flatness condition needed for the tuning of the cosmological constant and the stability condition that is necessary to avoid unstable modes. We find that the existence of such a viable vacuum implies a condition involving the curvature tensor for the scalar geometry and the charge and mass matrices for the vector fields. Moreover, for given curvature, charges and masses satisfying this constraint, the vector of F and D auxiliary fields defining the Goldstino direction is constrained to lie within a certain domain. The effect of vector multiplets relative to chiral multiplets is maximal when the masses of the vector fields are comparable to the gravitino mass. When the masses are instead much larger or much smaller than the gravitino mass, the effect becomes small and translates into a correction to the effective curvature. We finally apply our results to some simple classes of examples, to illustrate their relevance. 000153472 6531_ $$asupergravity models 000153472 6531_ $$asupersymmetry breaking 000153472 6531_ $$aBRANE GRAVITY MEDIATION 000153472 6531_ $$aANOMALOUS U(1) SYMMETRY 000153472 6531_ $$aYANG-MILLS THEORIES 000153472 6531_ $$aSOFT SCALAR MASSES 000153472 6531_ $$aN=1 SUPERGRAVITY 000153472 6531_ $$aSTRING MODELS 000153472 6531_ $$aDIMENSIONAL 000153472 6531_ $$aREDUCTION 000153472 6531_ $$aGAUGINO CONDENSATION 000153472 6531_ $$aSUPERSTRING MODELS 000153472 6531_ $$aSIGMA-MODELS 000153472 700__ $$aGomez-Reino, M. 000153472 700__ $$0244581$$aScrucca, C. A.$$g181759 000153472 773__ $$k8$$q42$$tJournal of High Energy Physics 000153472 8564_ $$s441779$$uhttps://infoscience.epfl.ch/record/153472/files/file-153472.pdf$$zn/a 000153472 909C0 $$0252314$$pGR-SC$$xU11777 000153472 909CO $$ooai:infoscience.tind.io:153472$$pSB$$particle 000153472 937__ $$aEPFL-ARTICLE-153472 000153472 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED 000153472 980__ $$aARTICLE