Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes

By J. Louis, Andrei Micu. 2002

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Compactifications of type II theories on Calabi-Yau threefolds including electric and magnetic background fluxes are discussed. We derive the bosonic part of the four-dimensional low energy effective action and show that it is a non-canonical N=2 supergravity which includes a massive two-form. The symplectic invariance of the theory is maintained as long as the flux parameters transform as a symplectic vector and a massive two-form which couples to both electric and magnetic field strengths is present. The mirror symmetry between type IIA and type IIB compactified on mirror manifolds is shown to hold for R-R fluxes at the level of the effective action. We also compactify type IIA in the presence of NS three-form flux but the mirror symmetry in this case remains unclear.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3c33f225aec068a39c5a7bcded050ef4e86997fd

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Citations in the corpus

Soft supersymmetry breaking in Calabi-Yau orientifolds with D-branes and fluxes (2003, background): “[5, 20, 21, 22] while for Calabi-Yau orientifolds it can be found in refs.”
Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold (2005, background): “We next define the so-called metric fluxes and recall how they can partially arise from T-duality of NS fluxes in type IIB.”
Lectures on gauged supergravity and flux compactifications (2008, background): “the massive 2-form field appearing in particular flux compactifications on Calabi–Yau manifolds [16].”
Consistent supersymmetric Kaluza-Klein truncations with massive modes (2009, background): “This gives a simple example of the mechanism first observed in [16] and then analyzed in [17, 18, 19, 20].”
Hitchin functionals in N = 2 supergravity (2005, background): “However for massive multiplets such a procedure is not straightforward and it often more convenient to keep the tensors in the spectrum [64, 75].”
Gauged Supergravities. (2016, result): “These theories were first constructed in the framework of N = 2 supergravity in [206, 207], generalizing previous results [208].”
SU(3) × SU(3) compactification and mirror duals of magnetic fluxes (2006, methodology): “Let us review the derivation of the low-energy effective action arising from a compactification on a Calabi–Yau manifold M6 with general H3-flux [57, 58, 59, 19, 60, 61, 22, 45].”
The effective action of D7-branes in N=1 Calabi-Yau orientifolds (2004, unknown): “(2.18) In the four dimensional democratic action (2.11) we could now impose the (dimensional reduced) self-duality condition (2.2) by adding Lagrangian multiplier terms and integrate out the redundant degrees of freedom [54] [55] [48] to obtain the effective orientifold action of refs.”
BPS Action and Superpotential for Heterotic String Compactifications with Fluxes (2003, background): “In all the known examples of IIB compactifications the resulting effective four–dimensional models were of no–scale type [8, 19, 23, 25, 31, 35, 38] and the overall size modulus remained free even after the introduction of fluxes.”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “For example, concerning mirror symmetry part of this discussion can be found in [434, 416], and for the heterotic/type IIA string duality in [435, 436].”
The Swampland: Introduction and Review (2019, background): “The effective action for compactifications of type IIA on Calabi-Yau orientifolds was derived in [198, 204], and the general expressions (4.”
The effective action of type II Calabi‐Yau orientifolds (2004, unknown): “We start from the ten-dimensional type IIA supergravity action in the Einstein frame given by S (10) IIA = ∫ −1 2 R̂ ∗ 1− 1 4 dφ̂ ∧ ∗dφ̂− 1 4 e−φ̂Ĥ3 ∧ ∗Ĥ3 − 12e 3 2 φ̂F̂2 ∧ ∗F̂2 −1 2 e 1 2 φ̂F̂4 ∧ ∗F̂4 + Ltop , (2.1) where Ltop = −12 [ B̂2 ∧ dĈ3 ∧ dĈ3 − (B̂2)2 ∧ dĈ3 ∧ dÂ1 ] , (2.2) and the…”