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Article overview
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Area Codes, Large Volume (Non-)Perturbative alpha'- and Instanton -
Corrected Non-supersymmetric (A)dS minimum, the Inverse Problem and Fake
Superpotentials for Multiple-Singular-Loci-Two-Parameter Calabi-Yau's | Aalok Misra
; Pramod Shukla
; | Date: |
2 Jul 2007 | Abstract: | We consider issues of moduli stabilization and "area codes" for type II flux
compactifications, and the "Inverse Problem" and "Fake Superpotentials" for
extremal (non)supersymmetric black holes in type II compactifications on
(orientifold of) a compact two-parameter Calabi-Yau expressed as a degree-18
hypersurface in WCP^4[1,1,1,6,9] which has multiple singular loci in its moduli
space. We argue the existence of extended "area codes" [1] wherein for the same
set of large NS-NS and RR fluxes, one can stabilize all the complex structure
moduli and the axion-dilaton modulus (to different sets of values) for points
in the moduli space away as well as near the different singular conifold loci
leading to the existence of domain walls. By including non-perturbative alpha’
and instanton corrections in the Kaehler potential and superpotential [2], we
show the possibility of getting a large-volume non-supersymmetric (A)dS
minimum. Further, using techniques of [3] we explicitly show that given a set
of moduli and choice of a gauge(the superpotential) corresponding to an
extremal black hole, one can actually work out the corresponding charges (of
the extremal black hole) - the so-called "inverse problem". We also show the
existence of "fake superpotentials" [4] corresponding to non-BPS extremal
black-hole solutions corresponding to the aforementioned Calabi-Yau three-fold.
The chosen Calabi-Yau has been of relevance also from the point of other
studies of stabilization of the Kaehler moduli via nonperturbative instanton
contributions [5] and the possibility of getting non-supersymmetric AdS vacua
(and their subsequent dS-uplifts) using (alpha’)^3 corrections to the Kaehler
potential [6,7,8]. | Source: | arXiv, arxiv.0707.0105 | Services: | Forum | Review | PDF | Favorites |
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