Supersymmetry Breaking and α′-Corrections to Flux Induced Potentials

By K. Becker, M. Becker, M. Haack, J. Louis. 2002

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We obtain the vacuum solutions for M-theory compactified on eight-manifolds with non-vanishing four-form flux by analyzing the scalar potential appearing in the three-dimensional theory. Many of these vacua are not supersymmetric and yet have a vanishing three-dimensional cosmological constant.We show that in the context of type-IIB compactifications on Calabi-Yau threefolds with fluxes and external brane sources α'-corrections generate a correction to the supergravity potential proportional to the Euler number of the internal manifold which spoils the no-scale structure appearing in the classical potential. This indicates that α'-corrections may indeed lead to a stabilization of the radial modulus appearing in these compactifications.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8dad4e3b6ec47a069f6ec7dc174915e7510f8e39

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Citations in the corpus

Explicit de Sitter flux vacua for global string models with chiral matter (2013, neutral): “The contribution Vα′ takes the form [66]:”
Systematics of moduli stabilisation in Calabi-Yau flux compactifications (2005, methodology): “The leading corrections to the Kähler potential were computed in [21] and arise from an O(α′3) term similar to that appearing in type II compactifications.”
Enumerating flux vacua with enhanced symmetries (2004, background): “(2.14) then induces a Kähler transformation (2.13), and is consequently a symmetry, provided the fluxes transform as f → f ·M−1 , h→ h ·M−1 , (2.15) which thanks to the symplectic condition have the same value of Nflux as (f, h), and which lead to solutions of (2.6) with moduli φ, z′a.”
Chiral 4d string vacua with D branes and NSNS and RR fluxes (2003, background): “vanishing cosmological constant) and flat potential for the overal Kahler parameter, even in the absence of supersymmetry [3], although �′ corrections [ 9 ] in general spoil this”
Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds (2007, background): “The K¨ahler potential including the α′-corrections reads [ 27 ]”
Jumping Through Loops: On Soft Terms from Large Volume Compactifications (2007, methodology): “The “large-volume scenario” (LVS) [3, 4] is an extension of KKLT where string corrections to the tree-level supergravity effective action computed in [5] play a significant role, and where the compactification volume can be as large as 1015 in string units.”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “It was shown in [441] that α′ corrections to the Kähler potential for the Kähler moduli break the no-scale structure (see also [442, Our conventions for dimensions are that the components of the potentials inside G3 are dimensionless such that G3 has dimension two, Ω3 dimension three and W is bound ”
Soft SUSY breaking terms for chiral matter in IIB string compactifications (2006, background): “In IIB compactifications the Kähler potential and superpotential for the moduli take the standard form [4,18–20],”
Testing string vacua in the lab: from a hidden CMB to dark forces in flux compactifications (2011, background): “These are the leading order α′ corrections to K [58]:”