Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications

Balasubramanian, Vijay; Berglund, Per; Conlon, Joseph P.; Quevedo, Fernando

doi:10.1088/1126-6708/2005/03/007

Cited by 1,078 publications

(2,294 citation statements)

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“…We now embed the above in reasonably explicit IIB flux compactifications 3 and in particular in the moduli stabilisation mechanism of [13,14]. (For other recent work on perturbative corrections in IIB flux compactifications see [18,19,20,21,22]).…”

Section: Embedding In Iib Flux Compactificationsmentioning

confidence: 99%

Kähler moduli inflation

Conlon¹,

Quevedo²

2006

J. High Energy Phys.

Self Cite

266

505

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We show that under general conditions there is at least one natural inflationary direction for the Kähler moduli of type IIB flux compactifications. This requires a Calabi-Yau which has h 2,1 > h 1,1 > 2 and for which the structure of the scalar potential is as in the recently found exponentially large volume compactifications. We also need -although these conditions may be relaxed -at least one Kähler modulus whose only nonvanishing triple-intersection is with itself and which appears by itself in the non-perturbative superpotential. Slow-roll inflation then occurs without a fine tuning of parameters, evading the η problem of F-term inflation. In order to obtain COBE-normalised density perturbations, the stabilised volume of the Calabi-Yau must be O(10 5 − 10 7 ) in string units, and the inflationary scale M inf l ∼ 10 13 GeV. We find a robust model independent prediction for the spectral index of 1 − 2 Ne = 0.960 → 0.967, depending on the number of efoldings.

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Section: Embedding In Iib Flux Compactificationsmentioning

confidence: 99%

Kähler moduli inflation

Conlon¹,

Quevedo²

2006

J. High Energy Phys.

Self Cite

266

505

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“…(using the notation in section 3.2) (C. 10) we see that |φ| ∼ M s is naturally allowed. We now check the self-consistency of our solutions.…”

Section: Jhep05(2009)083mentioning

confidence: 98%

“…This is because the masses and couplings of the particle physics models depend on the properties of the vacuum (or class of vacua) of the underlying string theory compactifications, in particular, the values of the moduli in the vacuum. In recent years, substantial progress has been made in the past few years towards addressing the above dynamical issues within various corners of the entire M theory landscape, see [9][10][11][12]. For definiteness, we will consider Type IIB string compactifications on Calabi-Yau orientifolds where the results are best understood.…”

Section: Framework Of "Realistic" String Compactificationsmentioning

confidence: 99%

“…10 Thus the flux superpotential W 0 has to be suppressed, just like W np . This can be naturally provided by the discrete tuning of fluxes.…”

Section: Jhep05(2009)083mentioning

confidence: 99%

“…This is especially important within supergravity since the Kähler potential for these fields is non-canonical in general. In general, if the (un-normalized) superpotential is given by: 10) then the canonically normalized quantities in W above are [42]:…”

Section: Microscopic Constraints To Obtain a Small H 2 λmentioning

confidence: 99%

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Neutrino masses, Baryon asymmetry, dark matter and the moduli problem — A complete framework

Kumar¹

2009

J. High Energy Phys.

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Neutrino masses, Baryon asymmetry, dark matter and the moduli problem -A complete framework E-mail: kpiyush@berkeley.eduAbstract: Recent developments in string theory have led to "realistic" string compactifications which lead to moduli stabilization while generating a hierarchy between the Electroweak and Planck scales at the same time. However, this seems to suggest a rethink of our standard notions of cosmological evolution after the end of inflation and before the beginning of BBN. This epoch is crucial for addressing the issues of neutrino masses, baryon asymmetry, Dark Matter (DM) abundance and the moduli (gravitino) problem. We argue that within classes of realistic string compactifications as defined above, there generically exists a light modulus with a mass comparable to that of the gravitino which is typically much smaller than the Hubble parameter during inflation. Therefore, it is destabilized and generates a large late-time entropy when it decays. Thus, all known elegant mechanisms of generating the baryon asymmetry of the Universe in the literature have to take this fact into account.In this work, we find that it is still possible to naturally generate the observed baryon asymmetry of the Universe as well as light left-handed neutrino masses from a period of Affleck-Dine (AD) leptogenesis shortly after the end of inflation, in classes of realistic string constructions with a minimal extension of the MSSM below the unification scale (consisting only of right-handed neutrinos) and satisfying certain microscopic criteria described in the text. The AD mechanism has already been used to generate the baryon asymmetry in the literature; however in this work we have embedded the above mechanism within a framework well motivated from string theory and have tried to describe the epoch from the end of inflation to the beginning of BBN in a complete and self-consistent manner. The consequences of our analysis are as follows. The lightest left-handed neutrino is required to be virtually massless. The moduli (gravitino) problem can be naturally solved in this framework both within gravity and gauge mediation. The observed upper bound on the relic abundance constrains the moduli-matter and moduli-gravitino couplings since the DM is produced non-thermally within this framework. Finally, although not a definite prediction, the framework naturally allows a light right-handed neutrino and sneutrinos around the electroweak scale which could have important implications for the nature of DM as well as the LHC.

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Applied String Theory

Schimmrigk

2009

Digital Encyclopedia of Applied Physics

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Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications

Cited by 1,078 publications

References 84 publications

Kähler moduli inflation

Kähler moduli inflation

Neutrino masses, Baryon asymmetry, dark matter and the moduli problem — A complete framework

Applied String Theory

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