General N = 1 Supersymmetric Fluxes in (Massive) Type IIA String Theory

Behrndt, Klaus; Cvetic, Mirjam

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General N = 1 Supersymmetric Fluxes in (Massive) Type IIA String Theory

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Behrndt, Klaus
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Behrndt, K., & Cvetic, M. (2005). General N = 1 Supersymmetric Fluxes in (Massive) Type IIA String Theory. Nuclear Physics B, 708(1-3), 45-71. Retrieved from http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6TVC-4F1J587-2-1&_cdi=5531&_user=42783&_orig=search&_coverDate=02%2F28%2F2005&_qd=1&_sk=992919998&view=c&wchp=dGLbVtz-zSkzS&md5=7ecb81d488a3855c3abcf9ea5845b4d6&ie=/sdarticle.pdf.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4E45-0

Abstract

We derive conditions for the existence of four-dimensional \N=1 supersymmetric flux vacua of massive type IIA string theory with general supergravity fluxes turned on. For an SU(3) singlet Killing spinor, we show that such flux vacua exist only when the internal geometry is nearly-Kähler. The geometry is not warped, all the allowed fluxes are proportional to the mass parameter and the dilaton is fixed by a ratio of (quantized) fluxes. The four-dimensional cosmological constant, while negative, becomes small in the vacuum with the weak string coupling.