Nonlinear \(N=2\) supersymmetry, effective actions and moduli stabilization

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Publication:985816

DOI10.1016/J.NUCLPHYSB.2008.09.008zbMATH Open1192.81252arXiv0804.1738OpenAlexW2010074464MaRDI QIDQ985816

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Publication date: 6 August 2010

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/0804.1738



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