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Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes
High Energy Physics - Theory · Submitted 25 Feb 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Compactifications of type II theories on Calabi-Yau threefolds including electric and magnetic background fluxes are discussed. | contribution 0.58 | 0.58 | 0.06 | asserted 0.86 |
| s1 | 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. | result 0.70 | 0.96 | 0.40 | asserted 1.00 |
| s2 | 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. | result 0.89 | 0.77 | 0.26 | asserted 0.99 |
| s3 | 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. | result 0.99 | 0.89 | 0.18 | asserted 1.00 |
| s4 | We also compactify type IIA in the presence of NS three-form flux but the mirror symmetry in this case remains unclear. | limitation 0.84 | 0.92 | 0.06 | asserted 0.44 |
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The paper
Original abstract
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.
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References
How later papers used it
62 later papers cite it
1 later paper by other authors is listed below: 1 used its method or tool. 2 more papers by the same authors are listed: 2 used its method or tool.
Uses its method or tool 3 of 4 papers with this label · 2 by the same authors
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We can follow here [ref] (with $B_2=0$) to replace the above action by the following one S_F_4^(4) →-M_p^2/2 ∫_4 ^̣4x √(-g) 1/2 e^4ϕ/(vol_6)^3 ( (2π√(α'))^-6 ∫_6 ( F_6 +C_3 H_3 + F_4 B_2 + C_1 H_3 B_2 + 1/2 F_2 B_2 B_2 + 1/6 F_0 B_2 B_2 B_2 ) )^2 .
Automated consistent truncations and stability of flux compactifications (2022) · Dimensional reduction · 0.94
By the same authors
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Exchanged the two-forms B and C_i for vector and scalar fields by performing the appropriate dualizations, following this paper.
The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds (2011) (same authors) · 0.98 · paraphrased: the licence does not allow quoting
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Followed the well-known dualization prescription, citing this paper as an instance, to arrive at an action for a massless scalar that replaces all terms containing the two-form.
Type IIA orientifold compactification on SU(2)-structure manifolds (2009) (same authors) · 0.94 · paraphrased: the licence does not allow quoting
How the literature uses it
60 arXiv papers cite this in 104 sentences
Papers citing it · 77 sentences without a confident label
Uses its method or tool 4 papers
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The Lagrangian obtained from the compactification still contains the two-forms $B$ and $C_i$, which we can exchange for vector and scalar fields by performing the appropriate dualizations [ref] .
The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds · Dualization of two-forms · 0.98
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We can follow here [ref] (with $B_2=0$) to replace the above action by the following one S_F_4^(4) →-M_p^2/2 ∫_4 ^̣4x √(-g) 1/2 e^4ϕ/(vol_6)^3 ( (2π√(α'))^-6 ∫_6 ( F_6 +C_3 H_3 + F_4 B_2 + C_1 H_3 B_2 + 1/2 F_2 B_2 B_2 + 1/6 F_0 B_2 B_2 B_2 ) )^2 .
Automated consistent truncations and stability of flux compactifications · Dimensional reduction · 0.94
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We could now insert Lagrangian multipliers to implement the relations of ([ref]) and integrate out the redundant fields (see e.g. [ref] ).
The effective action of D6-branes in N=1 type IIA orientifolds · The effective bulk action · 0.87
Compares with it 3 papers
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If $m^I_A =0 = e_IA$, eq.$$([ref]) precisely reproduces the RR part of the action derived in [ref] for Calabi-Yau compactifications of type IIA with RR fluxes.
Reducing democratic type II supergravity on SU(3) x SU(3) structures · $p_I^A = 0= q^IA$ case. SU(3) structure · 0.99
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It coincides with the type IIA R-R flux potential obtained in [ref] .
Three-forms, Supersymmetry and String Compactifications · The dual formulation · 0.99
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In [ref] the three-form potential [ref] was explicitly computed for a case of Type IIA effective theories, matching, on-shell, with the well known results from flux compactifications [ref] .
Three-forms, dualities and membranes in four-dimensional supergravity · Duality to standard matter-coupled supergravity · 0.84
Cites it as background 19 papers
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The first one is Romans mass which gives a consistent deformation of ten-dimensional type IIA supergravity [ref] , and the second one is a constant arising after dualization of the 3-form RR potential [ref] .
Non-perturbative scalar potential inspired by type IIA strings on rigid CY · Flux compactifications · 0.80
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In this section, we shall present Calabi-Yau compactifications of type IIB string theory [ref] .
String Loop Moduli Stabilisation and Cosmology in IIB Flux Compactifications · $N=2$ type IIB compactifications · 1.00
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Since [ref] , the modifications to the conventional $=2$ gauged supergravity action [ref] in the presence of tensor multiplets have been extensively studied [ref] .
Nearly Kaehler Reduction · Dualizing scalars to tensors to accommodate magnetic charges · 0.97
Discussion
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