Loop corrections to volume moduli and inflation in string theory

By M. Berg, M. Haack, B. Kors. 2004

237 citations recorded by the source corpus.

The recent progress in embedding inflation in string theory has made it clear that the problem of moduli stabilization cannot be ignored in this context. In many models a special role is played by the volume modulus, which is modified in the presence of mobile branes. The challenge is to stabilize this modified volume while keeping the inflaton mass small compared to the Hubble parameter. It is then crucial to know not only how the volume modulus is modified, but also to have control over the dependence of the potential on the inflaton field. We address these questions within a simple setting: toroidal $\mathcal{N}=1$ type IIB orientifolds. We calculate corrections to the superpotential and show how the holomorphic dependence on the properly modified volume modulus arises. The potential then explicitly involves the inflaton, leaving room for lowering the inflaton mass through moderate fine-tuning of flux quantum numbers.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/037a2a9c696d9c00ad13b7456a9bc8818573e805

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Citations in the corpus

On Inflation in String Theory (2003, methodology): “In the case of the D3/D7 model with the term 12 (φ + φ̄) 2 in the Kähler potential, there is no η-problem in the (φ− φ̄) direction if the stringy corrections of the type studied in [79, 80] are small.”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, result): “To conclude this subsection, let us mention, that other research on one–loop string corrections in D–brane models investigates the Kähler potential and the superpotential, see [406, 407] and [408, 409] and Fayet–Iliopoulos terms [410, 181].”
From ten to four and back again: how to generalize the geometry (2007, result): “We discuss how this geometrical superpotential is in perfect agreement with the ones computed in [30, 31] in completely different ways.”
Stringy corrections to Kahler potentials, SUSY breaking, and the cosmological constant problem (2004, result): “4 This has also been confirmed independently by Berg, Haack and Kors [ 31 ].”
D-terms and F-terms from D7-brane fluxes (2005, background): “However, the precise computation of this D-term in the (6)Actually there is a slight mismatch involving the Wilson line moduli fields aI [53], which is cured at the open string one loop level [54].”
String loop corrections to Kähler potentials in orientifolds (2005, methodology): “Now we look to our results of [20, 56] where we calculated the one-loop corrections to the gauge couplings, and use them for comparison.”
Gaugino Condensates and D-terms from D7-branes (2006, background): “Taking them into account properly would require to consider open string 1-loop corrections in order to get holomorphic gauge kinetic functions [52].”
On D3-brane Potentials in Compactifications with Fluxes and Wrapped D-branes (2006, methodology): “The problem was addressed more explicitly by Berg, Haack, and Körs (BHK) [19], who computed the threshold corrections to gaugino condensate superpotentials in toroidal orientifolds.”
Dynamics of warped compactifications and the shape of the warped landscape (2005, result): “Our results are thus relevant to investigations of the existence of de Sitter vacua in string theory, and of their phenomenology, cosmology, and statistics.”
Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking (2005, background): “D3 brane loop corrections to the Kähler potential are currently being computed in [28], and”
D3-brane potentials from fluxes in AdS/CFT (2010, methodology): “When a coordinate chart containing the divisor is available, it is straightforward to determine the superpotential, and this has been done from a variety of perspectives in toroidal orientifolds [25] and in noncompact cones [15].”
Inflation from warped space (2005, background): “[16,19, 25 ,29,30].) But we do not require the abovementioned fine-tuned cancellations.”