Nonlinear N=2 Supersymmetry, Effective Actions and Moduli Stabilization

Abstract

Nonlinear supersymmetry is used to compute the general form of the effective D-brane action in type I string theory compactified to four dimensions in the presence of internal magnetic fields. In particular, the scalar potential receives three contributions: (1) a nonlinear part of the D-auxiliary component, associated to the Dirac-Born-Infeld action; (2) a Fayet-Iliopoulos (FI) D-term with a moduli-dependent coefficient; (3) a D-auxiliary independent (but moduli dependent) piece from the D-brane tension. Minimization of this potential leads to three general classes of vacua with moduli stabilization: (i) supersymmetric vacua allowing in general FI terms to be cancelled by non-trivial vacuum expectation values (VEV's) of charged scalar fields; (ii) anti-de Sitter vacua of broken supersymmetry in the presence of a non-critical dilaton potential that can be tuned at arbitrarily weak string coupling; (iii) if the dilaton is fixed in a supersymmetric way by three-form fluxes and in the absence of charged scalar VEV's, one obtains non supersymmetric vacua with positive vacuum energy.

33 pages

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Cited by in corpus (27)

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• Constrained superfields in Supergravity
• Taking a vector supermultiplet apart: Alternative Fayet-Iliopoulos-type terms
• The Fayet-Iliopoulos term and nonlinear self-duality
• Nonlinear $\mathcal{N}=2$ Global Supersymmetry
• The cosmological constant in Supergravity
• Inflation from Supergravity with Gauged R-symmetry in de Sitter Vacuum
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• $\mathcal{N}=2$ Supersymmetry Partial Breaking and Tadpole Anomaly
• Note on supersymmetric Dirac-Born-Infeld action with Fayet-Iliopoulos term
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• Behaviors of two supersymmetry breaking scales in $\mathcal{N}=2$ supergravity
• Moduli Stabilization and Inflation in Type IIB/F-theory
• Phenomenological aspects of supergravity theories in de Sitter vacua
• Moduli Stabilisation on the Worldsheet
• ALP Constraints in Gauged $\mathcal{N}=2$ Supergravity
• Aspects of the new Fayet-Iliopoulos terms