Formalism
Definition
Spacetime configurations
Properties
Spacetimes
black hole spacetimes | vanishing angular momentum | positive angular momentum |
---|---|---|
vanishing charge | Schwarzschild spacetime | Kerr spacetime |
positive charge | Reissner-Nordstrom spacetime | Kerr-Newman spacetime |
Quantum theory
Flux compactifications are Kaluza-Klein compactification where a gauge field or higher gauge field has non-trivial field strength, hence “generalized electromagnetic flux” in the fiber-spaces, whose repulsive force counteracts the collapsing force of gravity on the compact fiber spaces.
Applied to supergravity this may in particular yield perturbative string theory vacua.
One way of achieving moduli stabilization for KK-compactifications in Einstein-Maxwell theory or supergravity/string theory is to consider gauge fields and/or higher gauge fields in the compact space. Their (higher) field strength/curvature forms (“fluxes”) parameterize mass terms for the compactification moduli and hence may, under suitable conditions, stabilize them.
Michael Douglas, Shamit Kachru, Flux compactification, Rev. Mod. Phys. 79 (2007) 733–796 (arXiv:hep-th/0610102)
Frederik Denef, Michael Douglas, Shamit Kachru, Physics of string flux compactifications, Ann.Rev.Nucl.Part.Sci.57:119-144,2007, hep-th/0701050, doi
Frederik Denef, Introduction to flux compactifications, lecture at Summer School on particle physics, cosmology and strings - Perimeter Institute 2007, video
A good survey of the story of flux compactifications in F-theory is in
For F-theory-discussion see also at F-theory – References – Flux compactification.
See also
Barton Zwiebach, A first course in string theory
Raphael Bousso, Joseph Polchinski, Quantization of four-form fluxes and dynamical neutralization of the cosmological constant, JHEP 06, 006 (2000) hep-th/0004134
T.R. Taylor, Cumrun Vafa, RR Flux on Calabi-Yau and Partial Supersymmetry Breaking, Phys.Lett. B474 (2000) 130-137 (arXiv:hep-th/9912152)
R. Blumenhagen, B. Körs, Dieter Lüst, S. Stieberger, Four-dimensional string compactifications with D-Branes, orientifolds and fluxes, Phys. Rept. 445 (2007) 1–193, hepth/0610327.
Mariana Graña, Flux compactifications in string theory: a comprehensive review, hep-th/0509003
Jock McOrist, Savdeep Sethi, M-theory and Type IIA Flux Compactifications (arXiv:1208.0261)
With RR-field tadpole cancellation taken into account:
See also:
David Prieto, Moduli Stabilization and Stability in Type II/F-theory flux compactifications [arXiv:2401.13339]
Minjae Cho, Manki Kim, A Worldsheet Description of Flux Compactifications [arXiv:2311.04959]
On non-geometric flux vacua:
Ralph Blumenhagen, A. Deser, E. Plauschinn, F. Rennecke, Bianchi identities for non-geometric fluxes: from quasi-Poisson structures to Courant algebroids, arXiv:1205.1522
D. Mylonas, Peter Schupp, Richard Szabo, Membrane sigma-models and quantization of non-geometric flux backgrounds, arxiv/1207.0926
See also:
Last revised on July 18, 2024 at 11:48:01. See the history of this page for a list of all contributions to it.