부산대학교 도서관

Summary: ``This paper explores the process of vacuum decay insupersymmetric models related to flux compactifications. In particular,we describe these instabilities within supersymmetric Lagrangians for asingle three-form multiplet. This multiplet combines scalar fields,representing the moduli fields in four dimensions, with 3-form fieldsthat influence the potential for these moduli via the integer flux oftheir associated 4-form field strength. Furthermore, usingsupersymmetry as a guide we obtain the form of the couplings of thesefields to the membranes that act as sources to the 3-form potentials.Adding small supersymmetry breaking terms to these Lagrangians one canobtain instanton solutions describing the decay of the vacua in thesemodels by the formation of a membrane bubble. These instantons combinethe usual Coleman-de Luccia and the Brown-Teitelboim formalisms in asingle unified model. We study simple numerical examples of theorieswith and without gravity in this new framework and generalize knownEuclidean methods to accomodate the simulataneous inclusion of scalarfields and charged membranes to these instanton solutions. Moreover, weshow explicitly in these examples how one recovers the staticsupersymmetric solutions in the limiting case where the supersymmetrybreaking terms vanish. In this limit, the bubble becomes infinite andflat and represents a hybrid between the usual supersymmetric domainwalls of field theory models and the brane solutions interpolatingbetween the supersymmetric vacua; a sort of dressed supermembrane BPSsolution. Finally, we briefly comment on the implications of thesesolutions in cosmological models based on the String Theory Landscapewhere these type of 4d effective theories could be relevant ininflationary scenarios.''