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אוניברסיטת בן-גוריון

Ram Brustein. אוניברסיטת בן-גוריון. Moduli stabilization in flux compactifications. hep-th/0402088 + To appear with S. de Alwis, P. Martens. Stabilizing moduli in the outer region: IIB and Heterotic flux compactifications Cosmological stability: A parachute for the “bat from hell”.

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אוניברסיטת בן-גוריון

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  1. Ram Brustein אוניברסיטת בן-גוריון Moduli stabilization in flux compactifications hep-th/0402088 + To appear with S. de Alwis, P. Martens • Stabilizing moduli in the outer region: IIB and Heterotic flux compactifications • Cosmological stability: A parachute for the “bat from hell”

  2. Flux compactifications allow fine tuning • Heterotic (on Kahler manifolds) • coupling & CS moduli fixed by fluxes + np effects • Kahler moduli (Volume, …) not fixed • No scale model, SUSY broken

  3. complex structure moduli & coupling fixed by generic fluxes & gaugino-condensation Small av Weak coupling (SR > a few) Search in the discretuum (similar to the IIB case - GKP)

  4. Fixing the rest of the moduli:Revival of race-track models • IIB: Fluxes, multiple gaugino-condensates* • (no need for Dbar) • Generic problem: runaway potentials • Importance of the central region EXAMPLE: * On D7’s + discrete Wilson lines Multi brane-instantons wrapping cycles (??)

  5. Fixing the rest of the moduli:Revival of race-track models • Heterotic: Fluxes, multiple gaugino-condensates + threshold corrections • Generic problem: runaway potentials Eventually: non-Kahler dual to IIB Threshold corrections for orbifolds

  6. Moduli potentials: general considerations for IIB, HET, … • outer region stabilization • F-term SUSY breaking • small +ve or vanishing CC • stable minima Steep potentials  tune 4 parameters F ~ O (e ) CC < O (e 2)

  7. Moduli potentials: Results • Single field • Impossible with a non-negative CC (small negative o.k.) sufficient show e is the CC

  8. Moduli potentials: Results • Two fields:some examples, no general analysis • More fields, has not been analyzed • Strong dependence on the Kahler potential • Additional near-by SUSY minima: Landscape within landscape Examples: quartic & quadratic, islands, not particularly fine-tuned

  9. Cosmological stability • The overshoot problem

  10. r r r Proposed resolution:role of other sources • The 3 phases of evolution • Potential push: jump • Kinetic : glide • Radiation : parachute opens • Inflation is only ~ 1/100 worth of tuning away! Previously: Barreiro et al: tracking Huey et al, specific temp. couplings

  11. Example: different phases == potential == kinetic == radiation

  12. Example: trapped field == potential == kinetic == radiation

  13. Summary and Conclusions • Enough tuning power to resolve outstanding issues • Need to work out specific models • Uniqueness and predictability ?

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