The N=1 effective action of F-theory compactifications
2010
162 citations recorded by the source corpus.
The four-dimensional N = 1 effective action of F-theory compactified on a Calabi- Yau fourfold is studied by lifting a three-dimensional M-theory compactification. The lift is performed by using T-duality realized via a Legendre transform on the level of the effective action, and the application of vector-scalar duality in three dimensions. The leading order Kahler potential and gauge-kinetic coupling functions are determined. In these compactifications two sources of gauge theories are present. Space-time filling non- Abelian seven-branes arise at the singularities of the elliptic fibration of the fourfold. Their couplings are included by resolving the singular fourfold. Generically a U(1) r gauge theory arises from the R-R bulk sector if the base of the elliptically fibered Calabi- Yau fourfold supports 2r harmonic three-forms. The gauge coupling functions depend holomorphically on the complex structure moduli of the fourfold, comprising closed and open string degrees of freedom. The four-dimensional electro-magnetic duality is studied in the three-dimensional effective theory obtained after M-theory compactification. A discussion of matter couplings transforming in the adjoint of the seven-brane gauge group is included.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/2ab8a6ab4aa61ee13b85dbe59fb9afd656b659e9
Citations in the corpus
- Anomaly equations and intersection theory (2011, unknown): “A convenient method to investigate the abelian sector of F-theory backgrounds is to use M-theory/F-theory duality [7], and take an intersection theory-based2 approach in the dual M-theory background [10, 13, 23, 24, 25, 26].”
- F-theory fluxes, chirality and Chern-Simons theories (2011, unknown): “Let us start by recalling some crucial facts about M-theory on a Calabi-Yau fourfold X̃4 [23, 21].”
- Anomaly cancellation and abelian gauge symmetries in F-theory (2012, unknown): “While the classical matching can be found in [45] it remains to show how corrections can be reliably computed in the M-theory to F-theory duality.”
- MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, unknown): “The effective action approach of [164], and related flux superpotential [330], is a substantial step towards this aim.”
- Matter and singularities (2011, unknown): “We begin with the correspondence between discrete structures in the 4D supergravity theory and in the base of the F-theory compactification; the connection between the Ftheory geometry and the low-energy theory is systematically described in [47], and further analysis of this correspondence will app”
- F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections (2013, unknown): “See [54] for a general discussion of this and a derivation of the full F-theory effective action.”
- U(1) symmetries in F-theory GUTs with multiple sections (2012, unknown): “See [16, 62, 63] for recent investigations of various aspects of this effective action.”
- G(4)-flux, chiral matter and singularity resolution in F-theory compactifications (2011, unknown): “The bosonic degrees of freedom of the vector multiplets are (ξΛ, AΛ) upon rescaling ξΛ = v Λ V [13].”
- Lectures on F-theory compactifications and model building (2010, unknown): “For a precise account of these fields and the Wilson line moduli in the effective action derived by the dimensional reduction of the dual M-theory we refer to [25].”