Transitions in the Web of Heterotic Vacua

Burt Ovrut; James Gray; Lara B. Anderson

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Transitions in the Web of Heterotic Vacua

Lara B. Anderson, James Gray, Burt Ovrut

High Energy Physics - Theory · Submitted 14 Dec 2010

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

The authors' main claim We demonstrate how such transitions can change important properties of the effective theory, including the gauge symmetry and the massless spectrum.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.18 · mentions code or data availability 0.02.

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We analyze transitions between heterotic vacua with distinct gauge bundles using two complementary methods - the effective four-dimensional field theory and the corresponding geometry. From the viewpoint of effective field theory, such transitions occur between flat directions of the potential energy associated with heterotic stability walls. Geometrically, this branch structure corresponds to smooth deformations of the gauge bundle coupled to the chamber structure of K\"ahler moduli space. We demonstrate how such transitions can change important properties of the effective theory, including the gauge symmetry and the massless spectrum. Geometrically, this study is divided into deformations of the vector bundle which preserve the rank of the gauge bundle and those which change the rank. In the latter case, our results provide explicit solutions to a class of Li-Yau type deformation problems. Finally, we use the framework of stability walls and their effective theory to study Donaldson-Thomas invariants on Calabi-Yau threefolds.

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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	We analyze transitions between heterotic vacua with distinct gauge bundles using two complementary methods - the effective four-dimensional field theory and the corresponding geometry.	contribution 0.74	0.94	0.09	asserted 0.99
s1	From the viewpoint of effective field theory, such transitions occur between flat directions of the potential energy associated with heterotic stability walls.	result 0.41	0.41	0.10	asserted 1.00
s2	Geometrically, this branch structure corresponds to smooth deformations of the gauge bundle coupled to the chamber structure of K\"ahler moduli space.	interpretation 0.60	0.44	0.11	asserted 1.00
s3	We demonstrate how such transitions can change important properties of the effective theory, including the gauge symmetry and the massless spectrum.	result 0.83	0.91	0.33	asserted 0.97
s4	Geometrically, this study is divided into deformations of the vector bundle which preserve the rank of the gauge bundle and those which change the rank.	method 0.75	0.71	0.07	asserted 0.99
s5	In the latter case, our results provide explicit solutions to a class of Li-Yau type deformation problems.	result 0.84	0.90	0.10	asserted 1.00
s6	Finally, we use the framework of stability walls and their effective theory to study Donaldson-Thomas invariants on Calabi-Yau threefolds.	contribution 0.97	0.92	0.17	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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Original abstract

We analyze transitions between heterotic vacua with distinct gauge bundles using two complementary methods - the effective four-dimensional field theory and the corresponding geometry. From the viewpoint of effective field theory, such transitions occur between flat directions of the potential energy associated with heterotic stability walls. Geometrically, this branch structure corresponds to smooth deformations of the gauge bundle coupled to the chamber structure of K\"ahler moduli space. We demonstrate how such transitions can change important properties of the effective theory, including the gauge symmetry and the massless spectrum. Geometrically, this study is divided into deformations of the vector bundle which preserve the rank of the gauge bundle and those which change the rank. In the latter case, our results provide explicit solutions to a class of Li-Yau type deformation problems. Finally, we use the framework of stability walls and their effective theory to study Donaldson-Thomas invariants on Calabi-Yau threefolds.

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References

Forward citations

Cited by 5 Pith papers

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

Fibrations in CICY Threefolds
hep-th 2017-08 accept novelty 6.0 of 10

Complete classification of genus-one fibrations for 4,957 of the 7,890 CICY threefolds, plus 139,597 obvious fibrations across the full set and an explicit infinite family on the Schoen manifold.
The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications
hep-th 2011-07 conditional novelty 6.0 of 10

Three computations of how a holomorphic vector bundle constrains the complex structure moduli of a Calabi-Yau threefold are argued to agree, and explicit bundles that freeze 80 of 82 moduli are exhibited.
Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
hep-th 2011-06 conditional novelty 6.0 of 10

A systematic scan of line-bundle sums on complete-intersection Calabi-Yau threefolds with up to five Kahler parameters yields 208 heterotic models with the MSSM matter spectrum, the Standard Model gauge group, and no exotics.
Stabilizing All Geometric Moduli in Heterotic Calabi-Yau Vacua
hep-th 2011-01 conditional novelty 6.0 of 10

All geometric moduli of a smooth heterotic Calabi-Yau compactification can be stabilized without NS flux by combining bundle holomorphy, anomalous U(1) D-terms, and non-perturbative effects, with an explicit AdS example.
Heterotic Line Bundle Standard Models
hep-th 2012-02 conditional novelty 5.0 of 10

About 400 explicit heterotic line bundle compactifications reproduce the Standard Model matter spectrum with three families, one to three Higgs pairs, and no exotic charged states, catalogued in a public database.

How the literature uses it

22 arXiv papers cite this in 59 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 · 43 sentences without a confident label

Uses its method or tool 2 papers

It is important to note that, instead of adopting the standard embedding, we shall loosely adopt the setting outlined in [ref] , in which moduli fixing is achieved by making a judicious choice of the gauge bundle and non-perturbative superpotentials coming from gaugino condensates and string instantons.

Natural Inflation from Near Alignment in Heterotic String Theory · The Model · 0.96
Of the three approaches to complex structure stabilization illustrated in Section [ref], here we use the effective field theory [ref] and geometric methods associated with the bundle double_ext.

The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications · “Jumping" Tri-linear Couplings · 0.91

Uses its data or values 1 paper

In Ref. [ref] , the DT invariant has been obtained from this as DT(X,c = (2, (0,0), (-4,6), 0 ) ; ω= t^1 J_1 + t^2 J_2 ) = -10 , if $4< t^2/t^1 < ∞$ , 0 , if $0<t^2/t^1 ≤4$ , which is seen to jump when one crosses the stability wall of [ref].

Quiver Structure of Heterotic Moduli · A Rank-2 Example: $SU(2) →S[U(1) ×U(1)]$ · 0.95

Cites it as support 3 papers

However, as shown in [ref] , this new bundle is actually isomorphic to the above, that is

Hidden Sectors from Multiple Line Bundles for the $B-L$ MSSM · Extension Bundle · 0.97
As shown in [ref] , one can turn on this combination of VEVs while still having the superpotential and its derivative vanish – that is, the effective theory satisfies the F-flatness requirement.

The strongly coupled $E_8\times E_8$ heterotic string: Geometry $\&$ Phenomenology · Extension Bundle · 0.97
As it turns out this simple construction of $SU(2)$ bundles[This class of bundles can be used to make manifest the 4-dimensional D-terms related to slope stability [ref] .] has been shown [ref] to fix nearly all the complex structure moduli of $X$!

TASI Lectures on Geometric Tools for String Compactifications · Manifolds, Bundles and Moduli Problems · 0.97

Cites it as background 5 papers

Previous work [ref] - [ref] investigated the constraints arising from $g^ab̅F_ab̅=0$, the slope-stability condition [ref] on $V$, and the conditions this places on the combined Kähler and vector bundle moduli spaces.

The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications · Introduction · 0.86
In the latter case, such loci can lead to complicated branch structure in the vacuum space of the theory in which many different bundles over the same $X$ are connected [ref] .

New Evidence for (0,2) Target Space Duality · Introduction · 0.80
Such F-term obstructions must be explored on a case-by-case basis (see [ref] for further discussions).

Heterotic Line Bundle Standard Models · Connecting different splitting types · 0.82

What it cites · 64 sentences without a confident label

Cites as background 19 papers

In Section [ref], we give a brief review of Kähler cone substructure and stability walls, from both a geometric and field theoretic standpoint [ref] .

Stability Walls in Heterotic Theories · Introduction · 1.00
In Section [ref], we give a brief review of Kähler cone substructure and stability walls, from both a geometric and field theoretic standpoint [ref] .

Kahler Cone Substructure · Introduction · 1.00
In Section [ref], we give a brief review of Kähler cone substructure and stability walls, from both a geometric and field theoretic standpoint [ref] .

Yukawa Textures From Heterotic Stability Walls · Introduction · 1.00

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