Following is the bibliographic discussion of Flux Compactification chapter of the the book Becker-Becker-Schwarz:
Flux compactications were introduced in Strominger (1986) and De Wit, Smit and Hari Dass (1987) as a generalization of conventional Calabi-Yau compactifications. Such compactifications include a warp factor, so that the ten-dimensional metric is no longer a direct product of the external and internal space-time. No-go theorems implied that in most cases such theories reduce to ordinary Calabi-Yau compactifications. However, with the development of non-perturbative string theory and M-theory, it became evident
that the no-go theorems could be circumvented. Flux compactifications were first studied in the context of M-theory in Becker and Becker (1996) and in the context of F-theory in Dasgupta, Rajesh and Sethi (1999). Giddings, Kachru and Polchinski (2002) explained how flux compactifications can give a large hierarchy of scales. Gra~na (2006) reviews flux compactifications. Gukov, Vafa and Witten (2001) made it evident that flux compactifications can lead to a solution of the moduli-space problem, since a non-vanishing
potential for the moduli fields is generated. This led to the introduction of the string theory landscape, which describes a huge number of possible string theory vacua, in Susskind (2003). Their properties were analyzed in Douglas (2003) using statistical methods. Flux compactifications are dual supergravity descriptions of conning gauge theories, as was pointed out in Klebanov and Strassler (2000) and Polchinski and Strassler (2000). The idea that a brane-world scenario provides an alternative to compactification was introduced in Randall and Sundrum (1999b).
The application of flux compactications to cosmology is an active area of research. Kachru, Kallosh, Linde and Trivedi (2003) discussed the construction of long-lived metastable de Sitter vacua, and Kachru, Kallosh, Linde, Maldacena, McAllister and Trivedi (2003) discussed the application to in-ation. Review articles on string cosmology include Linde (1999), Quevedo (2002) and Danielsson (2005).