Critical points and supersymmetric vacua I

Communications in Mathematical Physics

Volumn 252, Issue 1-3, 2004, Pages 325-358

  Douglas, Michael R ^a,b   Shiffman, Bernard ^c   Zelditch, Steve ^c  

^a RUTGERS UNIVERSITY   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11244277103     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1228-y     Document Type: Article

References (19)

1. [AGV] Arnold, V.I., Gusein-Zade, S.M., Varchenko, A.N.: Singularities of differentiable maps. Vol. II. Monodromy and asymptotics of integrals. Monographs in Math. 83, Boston: Birkhäuser, 1988
2. [AD] Ashok, S., Douglas, M.R.: Counting Flux Vacua. J. High Energy Phys. 01, 060 (2004)
3. [BDG] Banks, T., Dine, M., Gorbatov, E.: Is there a string theory landscape. J. High Energy Phys. 04, 058 (2004)
4. [BSZ1] Bleher, P., Shiffman, B., Zelditch, S.: Universality and scaling of correlations between zeros on complex manifolds. Invent. Math. 142(2), 351-395 (2000)
5. [BSZ2] Bleher, P., Shiffman, B., Zelditch, S.: Universality and scaling of zeros on symplectic manifolds. In: P. Bleher, A.R. Its, (eds.), Random matrix models and their applications, MSRI publications 40, Cambridge: Cambridge Univ. Press, 2001, pp. 31-70
6. [Bo] Bott, R.: On a theorem of Lefschetz. Michigan Math. J. 6, 211-216 (1959)
7. [BP] Bousso, R., Polchinski, J.: Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant. J. High Energy Phys. 06, 006 (2000)
8. [DD] Denef, F., Douglas, M.R.: Distributions of flux vacua. J. High Energy Phys. 05, 072 (2004)
9. [Do] Douglas, M.R.: The statistics of string/M theory vacua. J. High Energy Phys. 05, 046 (2003)
10. [Do2] Douglas, M.R.: Basic results in vacuum statistics. http://arxiv.org/abs/hep-th/0409207, 2004. To appear in Comptes Rendu Physiques
11. [DSZ1] Douglas, M.R., Shiffman, B., Zelditch, S.: Critical points and supersymmetric vacua, II: asymptotics and extremal metrics. http://arxiv.org/ abs/math.CV/0406089, 2004
12. [DSZ2] Douglas, M.R., Shiffman, B., Zelditch, S.: Critical points and supersymmetric vacua, III: String/M models. In preparation
13. [FGK] Ferrara, S., Gibbons, G.W., Kallosh, R.: Black holes and critical points in moduli space. Nucl. Phys. B 500(1-3), 75-93 (1997)
14. [Fe] Federer, H.: Geometric Measure Theory. New York: Springer, 1969
15. [Mi] Milnor, J.: Singular points of complex hypersurfaces. Annals of Mathematics Studies, No. 61, Princeton, NJ: Princeton University Press; Tokyo: University of Tokyo Press, 1968
16. [Mo1] Moore, G.: Les Hauches lectures on Strings and Arithmetic http://arxiv.org/abs/hep-th/0401049, 2004
17. [Mo2] Moore, G.: Arithmetic and attractors. http://arxiv.org/abs/hep-th/ 9807087, 1998
18. [SZ] Shiffman, B., Zelditch, S.: Distribution of zeros of random and quantum chaotic sections of positive line bundles. Commun. Math. Phys. 200, 661-683 (1999)
19. [S] Susskind, L.: The anthropic landscape of string theory. http://arxiv.org/abs/hep-th/0302219, 2003