New Orientifold Weak Coupling Limits in F-theory

Mboyo Esole; Paolo Aluffi

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New Orientifold Weak Coupling Limits in F-theory

Paolo Aluffi, Mboyo Esole

High Energy Physics - Theory · Submitted 11 Aug 2009

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

The authors' main claim We present new explicit constructions of weak coupling limits of F-theory generalizing Sen's construction to elliptic fibrations which are not necessary given in a Weierstrass form.

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What the abstract itself states, as probabilities: claims first 0.11 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.94 · mentions code or data availability 0.02.

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

We present new explicit constructions of weak coupling limits of F-theory generalizing Sen's construction to elliptic fibrations which are not necessary given in a Weierstrass form. These new constructions allow for an elegant derivation of several brane configurations that do not occur within the original framework of Sen's limit, or which would require complicated geometric tuning or break supersymmetry. Our approach is streamlined by first deriving a simple geometric interpretation of Sen's weak coupling limit. This leads to a natural way of organizing all such limits in terms of transitions from semistable to unstable singular fibers. These constructions provide a new playground for model builders as they enlarge the number of supersymmetric configurations that can be constructed in F-theory. We present several explicit examples for E8, E7 and E6 elliptic fibrations.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We present new explicit constructions of weak coupling limits of F-theory generalizing Sen's construction to elliptic fibrations which are not necessary given in a Weierstrass form.	contribution 1.00	0.95	0.52	asserted 1.00
s1	These new constructions allow for an elegant derivation of several brane configurations that do not occur within the original framework of Sen's limit, or which would require complicated geometric tuning or break supersymmetry.	result 0.61	0.92	0.33	asserted 0.94
s2	Our approach is streamlined by first deriving a simple geometric interpretation of Sen's weak coupling limit.	method 0.97	0.93	0.07	asserted 1.00
s3	This leads to a natural way of organizing all such limits in terms of transitions from semistable to unstable singular fibers.	method 0.55	0.88	0.12	asserted 0.99
s4	These constructions provide a new playground for model builders as they enlarge the number of supersymmetric configurations that can be constructed in F-theory.	interpretation 0.98	0.59	0.31	asserted 0.96
s5	We present several explicit examples for E8, E7 and E6 elliptic fibrations.	contribution 0.96	0.94	0.10	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.69 · evidence from proof or derivation 1.00.

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The paper

Original abstract

We present new explicit constructions of weak coupling limits of F-theory generalizing Sen's construction to elliptic fibrations which are not necessary given in a Weierstrass form. These new constructions allow for an elegant derivation of several brane configurations that do not occur within the original framework of Sen's limit, or which would require complicated geometric tuning or break supersymmetry. Our approach is streamlined by first deriving a simple geometric interpretation of Sen's weak coupling limit. This leads to a natural way of organizing all such limits in terms of transitions from semistable to unstable singular fibers. These constructions provide a new playground for model builders as they enlarge the number of supersymmetric configurations that can be constructed in F-theory. We present several explicit examples for E8, E7 and E6 elliptic fibrations.

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References

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Small resolutions of SU(5)-models in F-theory
hep-th 2011-07 accept novelty 8.0 of 10

An explicit small resolution of the SU(5) F-theory fourfold yields six flop-related resolutions and rules out the conjectured affine E6 fiber at codimension-three points.
Sections, multisections, and U(1) fields in F-theory
hep-th 2014-04 accept novelty 7.0 of 10

Genus-one fibrations without a global section sit inside the Weierstrass moduli space, and nearly every six-dimensional U(1) gauge symmetry arises from Higgsing an SU(2) with adjoint matter.
U(1) symmetries in F-theory GUTs with multiple sections
hep-th 2012-11 accept novelty 7.0 of 10

Factorised Tate models give a systematic global construction of U(1) symmetries in F-theory SU(5) GUTs, and the SU(5) x U(1)_PQ model contains charge-10 singlets incompatible with a single E8 decomposition.
On Flux Quantization in F-Theory
hep-th 2010-11 conditional novelty 7.0 of 10

Smooth F-theory fourfolds always have integrally quantized four-form flux; half-integral quantization arises only from 7-brane singularities on non-spin surfaces, matching the Freed-Witten anomaly.
F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
hep-th 2012-08 accept novelty 6.0 of 10

Seven explicit elliptically fibered Calabi-Yau threefolds are constructed that realize six-dimensional F-theory vacua with a single U(1) gauge group and matter of charges 1 and 2, matching anomaly predictions.

Show 3 more citing papers

On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs
hep-th 2010-06 conditional novelty 6.0 of 10

A global restriction of the F-theory Tate model (a6 = 0) keeps a U(1)_X gauge symmetry un-higgsed, forbidding dimension-4 proton decay and giving a geometric home for right-handed neutrinos.
TASI Lectures on F-theory
hep-th 2018-06 accept novelty 3.0 of 10

The notes assemble the F-theory dictionary linking singular fibers, rational sections, and Deligne cohomology of an elliptic fibration to gauge algebras, matter representations, and gauge backgrounds in Type IIB compa...
Lectures on F-theory compactifications and model building
hep-th 2010-09 accept novelty 3.0 of 10

A structured survey of F-theory compactifications and F-theory GUT model building, covering elliptic fibration geometry, Tate models, spectral covers, and SU(5) breaking via hypercharge flux.

How the literature uses it

20 arXiv papers cite this in 46 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 32 sentences without a confident label

Builds on it 1 paper

This paper is in a sense a sequel (or maybe a footnote) to the paper [ref] by Aluffi and Esole.

A new CY elliptic fibration and tadpole cancellation · Introduction · 0.90

Uses its method or tool 3 papers

We recall the method used in [ref] to obtain the results we just recalled, and then we provide the generalization.

A new CY elliptic fibration and tadpole cancellation · Computing the Chern classes · 0.81
We then pushforward these eight-forms on the product elliptic fourfold, $M_6 ×Z$, using the formulae in [ref] (see also [ref] ).

Theories of Class F and Anomalies · Class F with Torus-Fibers: $𝕃$-Universal Contributions · 1.00
Hence, we can use Theorem 4.3 of [ref] and reduce the integral over $D_α$ to an integral over only the base of the fibration.

Effective action of 6D F-Theory with U(1) factors: Rational sections make Chern-Simons terms jump · Exact identities for the second Chern class · 0.98

Compares with it 1 paper

We found: [equation] in case $B=2$, whereas for $B=3$ we found (with $c_i=c_i(B)$): [equation] To recover the formula for the $E_7$ case from [ref] , Proposition 4.2 we substitute $L=c_1$ and $(d_1,d_2)=(1,2)$, which gives $χ(Y)=12c_1(B)c_2(B)+144c_1(B)^3$.

A new CY elliptic fibration and tadpole cancellation · Euler characteristics of elliptic fibrations · 0.90

Cites it as background 7 papers

Recently Sen limits were studied in [ref] and [ref] .

A new CY elliptic fibration and tadpole cancellation · Introduction · 0.90
The problem of finding the weak coupling limit of F-theory compactified on elliptic fibrations of the form [ref] has been solved by Sen [ref] , see also [ref] .

F-Theory and the Landscape of Intersecting D7-Branes · Sen's weak coupling limit · 0.93
Sen's approach[For more recent discussions of weak coupling limits of models with non-Abelian gauge groups or of fibrations not in the Weierstrass form, see [ref] .], which we summarise in the following, is based on attempting to specialise the forms of $f$ and $g$ in such a way that a weak coupling limit can be obtained by tuning one of the parameters of the model to zero.

Abelian gauge symmetries and fluxed instantons in compactifications of type IIB and F-theory · The Sen limit · 0.90

What it cites · 74 sentences without a confident label

Uses the method or tool of 2 papers

For the latter we use the Euler characteristic $χ_o$ introduced in [ref] and its corresponding Chern class.

Chern class identities from tadpole matching in type IIB and F-theory · F-theory-type-IIB tadpole matching condition · 0.81
For the latter we use the Euler characteristic $χ_o$ introduced in [ref] and its corresponding Chern class.

D-brane Deconstructions in IIB Orientifolds · F-theory-type-IIB tadpole matching condition · 0.81

Compares with 1 paper

For example, we present F-theory engineering of brane-image-brane configurations that do not break supersymmetry through the violation of D-term constraints in contrast to a typical brane-image-brane configuration resulting from the usual Sen's limit as explained in 4.4 of [ref] .

D-brane Deconstructions in IIB Orientifolds · Introduction · 0.85

Cites as support 1 paper

For this reason, brane-image-brane pairs in Sen's limit of a Weierstrass model are generally non-supersymmetric [ref] since they require fluxes to satisfy the F-theory-type IIB D3 tadpole relation.

D-brane Deconstructions in IIB Orientifolds · F-theory-type-IIB D3 tadpole matching · 0.98

Cites as background 28 papers

In the weak coupling limit of F-theory, Ashoke Sen has provided the only systematic way to derive a type IIB orientifold limit of F-theory in the familiar case of elliptic fibrations given by a Weierstrass model [ref] .

Orientifold Limit of F-theory Vacua · Sen's weak coupling limit · 0.83
Under the assumption that $Y$ is a Calabi-Yau manifold, formulas for the Euler characteristic of $Y$ may be found in [ref] , (3.11) and 7 and 8; some of these formulas were also given in [ref] .

Calabi-Yau fourfolds for M- and F-Theory compactifications · Sethi-Vafa-Witten formulas · 0.90
Under the assumption that $Y$ is a Calabi-Yau manifold, formulas for the Euler characteristic of $Y$ may be found in [ref] , (3.11) and 7 and 8; some of these formulas were also given in [ref] .

Constraints on Low-Dimensional String Compactifications · Sethi-Vafa-Witten formulas · 0.90

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