The effective action of type II Calabi‐Yau orientifolds

By Thomas W. Grimm, J. Louis. 2004

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This article first reviews the calculation of the N = 1 effective action for generic type IIA and type IIB Calabi‐Yau orientifolds in the presence of background fluxes by using a Kaluza‐Klein reduction. The Kähler potential, the gauge kinetic functions and the flux‐induced superpotential are determined in terms of geometrical data of the Calabi‐Yau orientifold and the background fluxes. As a new result, it is shown that the chiral description directly relates to Hitchin's generalized geometry encoded by special odd and even forms on a threefold, whereas a dual formulation with several linear multiplets makes contact to the underlying N = 2 special geometry. In type IIB setups, the flux‐potentials can be expressed in terms of superpotentials, D‐terms and, generically, a massive linear multiplet. The type IIA superpotential depends on all geometric moduli of the theory. It is reviewed, how type IIA orientifolds arise as a special limit of M‐theory compactified on specific G2 manifolds by matching the effective actions. In a similar spirit type IIB orientifolds are shown to descend from F‐theory on a specific class of Calabi‐Yau fourfolds. In addition, mirror symmetry for Calabi‐Yau orientifolds is briefly discussed and it is shown that the N = 1 chiral coordinates linearize the appropriate instanton actions.

Subfields: Astronomy and Astrophysics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2214ed9263a8709114a9ee1721abb04b311c56ad

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Citations in the corpus

Nongeometric flux compactifications (2005, methodology): “The construction of flux compactifications with orientifolds was developed in [2, 3], and applied to the IIB theory in [4] and many subsequent papers, and to the IIA theory in [16, 19, 20, 34, 35, 36].”
Axion inflation in type II string theory (2007, methodology): “6) are known as a function of the pre-potential [42].”
Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold (2005, methodology): “We will next obtain these results from the general analysis of [ 19 ].”
String loop corrected hypermultiplet moduli spaces (2006, background): “In this context it would also be interesting to consider the orientifold projection of our string loop corrected N = 2 supergravity along the lines [50, 51, 52].”
Generalized N=1 orientifold compactifications and the Hitchin functionals (2006, background): “Evidence for this identification is provided by comparing the generalized type IIA and type IIB superpotentials.”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “By that the Kähler potential KKM for the h 1,1 + (X ) Kähler moduli T j becomes a complicated function KKM(S, T j , G) depending on the dilaton S, the h(1,1) + (X ) moduli T j and the h(1,1) − (X ) moduli G [147, 337].”
Searching for slow-roll moduli inflation in massive type IIA supergravity with metric fluxes (2008, methodology): “For the IIA orientifolds at hand, we can provide this information [28].”
Backreacted axion field ranges in string theory (2016, neutral): “We will therefore study this effect within the moduli stabilisation framework of type IIA flux compactifications on a CY manifold [48,49] or a twisted torus [50, 51] (see [54] for a more complete reference list on these topics).”
From ten to four and back again: how to generalize the geometry (2007, methodology): “For the Kähler moduli one has to identify the right holomorphic variables as in [37].”
Simple de Sitter solutions (2007, methodology): “Simple and explicit models of compactification down to AdS4 have been found using this general framework(1) in type IIB string theory [18,19,20] and IIA [14,16,21,22,15,23].”
Inflationary Constraints on Type IIA String Theory (2007, methodology): “2 Potential Energy from Superpotential From [42] the superpotential in the IIA theory is given by W = WK +WQ where W = f6 + f4at a + 1 2 f2aκabct t − f0 6 κabct tt, (A.”
Flux compactifications in string theory: A Comprehensive review (2005, methodology): “We will skip the details of the derivation done in [59] (see also Refs.”