The effective action of type II Calabi-Yau orientifolds

Thomas W. Grimm

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The effective action of type II Calabi-Yau orientifolds

Thomas W. Grimm

High Energy Physics - Theory · Submitted 15 Jul 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

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What the abstract itself states, as probabilities: claims first 0.21 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.58 · mentions code or data availability 0.01.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

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 Kahler 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 G_2 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.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	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.	contribution 0.66	0.45	0.09	asserted 0.99
s1	The Kahler 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.	result 0.94	0.52	0.11	asserted 1.00
s2	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.	result 0.61	0.90	0.49	asserted 1.00
s3	In type IIB setups, the flux-potentials can be expressed in terms of superpotentials, D-terms and, generically, a massive linear multiplet.	result 0.98	0.54	0.08	asserted 0.96
s4	The type IIA superpotential depends on all geometric moduli of the theory.	result 1.00	0.40	0.07	asserted 1.00
s5	It is reviewed, how type IIA orientifolds arise as a special limit of M-theory compactified on specific G_2 manifolds by matching the effective actions.	background 0.43	0.22	0.06	asserted 1.00
s6	In a similar spirit type IIB orientifolds are shown to descend from F-theory on a specific class of Calabi-Yau fourfolds.	result 0.57	0.79	0.06	asserted 1.00
s7	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.	result 0.74	0.68	0.08	asserted 1.00

What kind of paper the classifier reports this is: review 0.58 · evidence from proof or derivation 0.98.

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arXiv listing abstract v3

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references and citing sentences
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Original abstract

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 Kahler 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 G_2 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.

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Cited by 14 Pith papers

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Generalized N=1 Orientifold Compactifications and the Hitchin functionals
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The paper derives N=1 Kähler potentials and superpotentials for type II orientifolds on SU(3)-structure manifolds and proposes generalized half-flat manifolds as mirrors of Calabi-Yau compactifications with NS-NS flux.
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Asymptotic Flux Compactifications and the Swampland
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A complete classification of two-moduli asymptotic flux potentials in F-theory on Calabi-Yau fourfolds shows that none admits a de Sitter vacuum at parametric control.
The Weak Gravity Conjecture and Scalar Fields
hep-th 2017-05 conditional novelty 6.0 of 10

Generalizing the Weak Gravity Conjecture to include scalar forces yields a bound that field distances in Calabi-Yau moduli space grow at most logarithmically with moduli values.
GUTs in Type IIB Orientifold Compactifications
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Globally consistent SU(5) GUT models are built on intersecting D7-branes in Type IIB orientifolds of Calabi-Yau threefolds obtained from del Pezzo transitions.
The Emergence Proposal in Quantum Gravity and the Species Scale
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One-loop sums over towers of light states, cut off at the species scale, reproduce the field dependence of moduli metrics, gauge kinetic functions, and flux potentials in several string vacua.
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de Sitter vacua in no-scale supergravities and Calabi-Yau string models
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Stable de Sitter vacua from string moduli require a Kähler-geometry quantity σ to be positive, and large-volume Calabi-Yau compactifications often cannot satisfy this, with K3 fibrations always failing.
Towards a Realistic Type IIA T^6/Z_4 Orientifold Model with Background Fluxes, Part 1: Moduli Stabilization
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For the T^6/Z4 orientifold with background fluxes, the authors find supersymmetric and non-supersymmetric AdS vacua in which all geometric moduli are stabilized at large volume and weak coupling, with one axion combin...
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A structured survey of type II flux compactifications: which fluxes preserve N=1, why compact spaces need orientifold planes, how fluxes generate superpotentials, and how far they go toward fixing moduli.
The Swampland: Introduction and Review
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How the literature uses it

35 arXiv papers cite this in 94 sentences

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Papers citing it · 47 sentences without a confident label

Builds on it 1 paper

We have added to the expression in [ref] the local orientifold contribution $V_O6$.

WEAKLY-coupled IIA Flux Compactifications · The scalar potential · 0.91

Uses its method or tool 6 papers

[ref] as done in [ref] .[$H((CΩ))=i ∫_Y CΩ∧CΩ$ is also known as entropy or Hitchin functional of the real three-form $(CΩ)$.] The fact that [ref] is the metric for the scalars $(ξ^k,ξ̃_λ)$ allows us to identify local complex coordinates $N'^k=U^k + i ξ^k$ and $T'_κ= U_λ+ i ξ̃_λ$ on a Kähler manifold $^Q_$ which is locally of the form $^Q ×H^3_+ (Y,/)$.

The N=1 effective actions of D-branes in Type IIA and IIB orientifolds · The orientifold moduli space · 0.90
[ref], where the Kähler metric is derived from $K$, see [ref] .

Classification of Shift-Symmetric No-Scale Supergravities · Duality Transformation · 0.84
Here we mainly follow the steps and conventions used in [ref] .

Holomorphic Couplings In Non-Perturbative String Compactifications · The Orientifold Effective Action · 0.97

Compares with it 3 papers

By comparison of the actions [ref], [ref] with the general $𝒩=1$ action [ref] we obtain [ref] [equation] where $$ is introduced in appendix [ref] and a submatrix of the $𝒩=2$ gauge kinetic coupling matrix.

Holomorphic Couplings In Non-Perturbative String Compactifications · The Gauge Kinetic Function · 0.92
[ref] from an analysis of the effective bulk action if we set $ζ^A=a_I = 0$.

The D5-brane effective action and superpotential in N=1 compactifications · The Kähler potential and $=1$ coordinates · 0.91
Comparing this expression with [ref] we read off that N^= i G^ , d_σ = 1/2 1/ τ _σ , f_ (τ)= i τδ_ , in order to match the F-theory result as already done in [ref] .

Aspects of Calabi-Yau Fourfold Compactifications · Orientifold limit of F-theory and mirror symmetry · 0.92

Cites it as background 23 papers

The classical moduli space of the resulting 4d $=1$ effective theory consists of two sectors [ref] .

On Quantum Obstructions in Type IIA Orientifolds · Kähler limits in Type IIA Orientifolds · 0.92
To simplify the discussion, let us first assume that the only low energy degrees of freedom are the gravity multiplet, chiral multiplets $S,$ and the linear multiplet $L.$ The two-derivative action of linear multiplets are determined by two functions $F$ and $K$ [ref] [equation] where $E$ is the super-vielbein, the function $F$ depends on the Kähler potential $K(S,S̅,L)$ via the constraint [equation] which is imposed to obtain the correct normalization of the Einstein-Hilbert action in Einstein-frame.

On one-loop corrected dilaton action in string theory · Effective action in linear multiplet formalism · 0.86
In this section we review the $=1$ effective supergravity theory arising by compactification of type IIB supergravity on an orientifold background following [ref] .

Non-Perturbative Corrections and Modularity in N=1 Type IIB Compactifications · Brief review of the effective action of type IIB orientifolds · 0.94

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