Critical points and supersymmetric vacua, III: String/M models
Douglas, Michael R. ; Shiffman, Bernard ; Zelditch, Steve
arXiv, 0506015 / Harvested from arXiv
Text on arXiv
A fundamental problem in contemporary string/M theory is to count the number of inequivalent vacua satisfying constraints in a string theory model. This article contains the first rigorous results on the number and distribution of supersymmetric vacua of type IIb string theories compactified on a Calabi-Yau 3-fold $X$ with flux. In particular, complete proofs of the counting formulas in Ashok-Douglas and Denef-Douglas are given, together with van der Corput style remainder estimates. We also give evidence that the number of vacua satisfying the tadpole constraint in regions of bounded curvature in moduli space is of exponential growth in $b_3(X)$.
Publié le : 2005-06-07
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Mathematics - Algebraic Geometry,  Mathematics - Complex Variables 
@article{0506015,
     author = {Douglas, Michael R. and Shiffman, Bernard and Zelditch, Steve},
     title = {Critical points and supersymmetric vacua, III: String/M models},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506015}
}

Douglas, Michael R.; Shiffman, Bernard; Zelditch, Steve. Critical points and supersymmetric vacua, III: String/M models. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506015/