Physics
Scientific paper
Nov 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cqgra..23..s02g&link_type=abstract
Classical and Quantum Gravity, Volume 23, Issue 21, pp. S02 (2006).
Physics
3
Scientific paper
Following the lectures given at CERN Winter School 2006, we present a pedagogical overview of flux compactifications and generalized geometries, concentrating on closed string fluxes in type II theories. We start by reviewing the supersymmetric flux configurations with maximally symmetric four-dimensional spaces. We then discuss the no-go theorems (and their evasion) for compactifications with fluxes. We analyse the resulting four-dimensional effective theories for Calabi Yau and Calabi Yau orientifold compactifications, concentrating on the flux-induced superpotentials. We discuss the generic mechanism of moduli stabilization and illustrate with two examples: the conifold in IIB and a T^6 /({{\bb Z}_3 \times Z_3}) torus in IIA. We finish by studying the effective action and flux vacua for generalized geometries in the context of generalized complex geometry.
This is an abridged version of Physics Reports, M Graña, 'Flux compactifications in string theory: A comprehensive review' 423 91 158, Copyright (2006), reprinted with permission from Elsevier.
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