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Towards Matter Inflation in Heterotic String Theory
High Energy Physics - Theory · Submitted 1 Feb 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We suggest that a generalization of this model class may be suitable for realising inflation in heterotic orbifold compactifications, where the Heisenberg symmetry is a property of the tree-level K"ahler potential of untwisted matter fields.
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The abstract, sentence by sentence
Recently, a class of inflation models in supergravity with gauge non-singlet matter fields as the inflaton has been proposed. It is based on a `tribrid' structure in the superpotential and on a Heisenberg symmetry for solving the eta-problem. We suggest that a generalization of this model class may be suitable for realising inflation in heterotic orbifold compactifications, where the Heisenberg symmetry is a property of the tree-level K"ahler potential of untwisted matter fields. We discuss moduli stabilization in this setup and propose a mechanism to stabilize the modulus associated to the inflaton, which respects the symmetry in the large radius limit. Inflation ends via a waterfall phase transition, as in hybrid inflation. We give conditions which have to be satisfied for realising inflation along these lines in the matter sector of heterotic orbifolds.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recently, a class of inflation models in supergravity with gauge non-singlet matter fields as the inflaton has been proposed. | background 1.00 | 0.04 | 0.05 | asserted 1.00 |
| s1 | It is based on a `tribrid' structure in the superpotential and on a Heisenberg symmetry for solving the eta-problem. | background 0.96 | 0.09 | 0.05 | asserted 1.00 |
| s2 | We suggest that a generalization of this model class may be suitable for realising inflation in heterotic orbifold compactifications, where the Heisenberg symmetry is a property of the tree-level K"ahler potential of untwisted matter fields. | contribution 0.93 | 0.64 | 0.41 | hedged possibility 1.00 |
| s3 | We discuss moduli stabilization in this setup and propose a mechanism to stabilize the modulus associated to the inflaton, which respects the symmetry in the large radius limit. | contribution 0.95 | 0.89 | 0.15 | asserted 0.76 |
| s4 | Inflation ends via a waterfall phase transition, as in hybrid inflation. | method 0.55 | 0.46 | 0.09 | asserted 1.00 |
| s5 | We give conditions which have to be satisfied for realising inflation along these lines in the matter sector of heterotic orbifolds. | contribution 0.89 | 0.87 | 0.18 | asserted 0.84 |
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The paper
Original abstract
Recently, a class of inflation models in supergravity with gauge non-singlet matter fields as the inflaton has been proposed. It is based on a `tribrid' structure in the superpotential and on a Heisenberg symmetry for solving the eta-problem. We suggest that a generalization of this model class may be suitable for realising inflation in heterotic orbifold compactifications, where the Heisenberg symmetry is a property of the tree-level K"ahler potential of untwisted matter fields. We discuss moduli stabilization in this setup and propose a mechanism to stabilize the modulus associated to the inflaton, which respects the symmetry in the large radius limit. Inflation ends via a waterfall phase transition, as in hybrid inflation. We give conditions which have to be satisfied for realising inflation along these lines in the matter sector of heterotic orbifolds.
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References
How the literature uses it
12 arXiv papers cite this in 15 sentences
Papers citing it · 13 sentences without a confident label
Cites it as support 1 paper
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From now on, we restrict ourselves to a particular form of the Kähler potential, which contains the aforementioned coupling between $T$ and $X$, namely [equation] It has been argued in [ref] that couplings qualitatively similar to the second term in the brackets in Eq. [ref] can arise as moduli-dependent string loop corrections in heterotic orbifold compactifications.
Combining High-scale Inflation with Low-energy SUSY · Resolution: A General Framework · 0.96
Cites it as background 1 paper
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In a second class of models – “Tribrid Inflation” [ref] – a D-flat combination of matter fields – typically gauge non-singlets – plays the role of the inflaton.
A Generalised Missing Partner Mechanism for SU(5) GUT Inflation · Introduction · 0.96
What it cites · 63 sentences without a confident label
Builds on 2 papers
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We consider a generalization of the `tribrid' inflation models of [ref] , which employed a Heisenberg symmetry [ref] and a specific structure of the superpotential to solve the $η$-problem and implement the waterfall mechanism of hybrid inflation [ref] .
Hybrid Inflation · General class of models · 0.94
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We consider a generalization of the `tribrid' inflation models of [ref] , which employed a Heisenberg symmetry [ref] and a specific structure of the superpotential to solve the $η$-problem and implement the waterfall mechanism of hybrid inflation [ref] .
Solving the $\eta$-Problem in Hybrid Inflation with Heisenberg Symmetry and Stabilized Modulus · General class of models · 0.94
Uses the method or tool of 1 paper
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Following [ref] , we parametrize $f(ℓ)$ as [equation]
Dilaton Stabilization in the Context of Dynamical Supersymmetry Breaking through Gaugino Condensation · The linear multiplet formalism · 0.89
Uses data or values from 1 paper
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For example, the heterotic `mini-landscape' models [ref] based on $ℤ_6-II$ have the twist vector $v = 1/6 (1, 2, -3)$, i.e. a rotation by $(60^∘, 120^∘, 180^∘)$ of the first, second and third torus, respectively.
Supersymmetric Standard Model from the Heterotic String · Heterotic orbifolds and Heisenberg symmetry · 0.84
Compares with 2 papers
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Note that this setup is in sharp contrast to the standard picture where moduli stabilization both during and after inflation is achieved by terms in the superpotential, e.g. as in the KKLT scenario for type IIB flux compactifications [ref] .
de Sitter Vacua in String Theory · Introduction · 0.94
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If the Coleman-Weinberg corrections dominate, we expect similar inflationary dynamics as those discussed in [ref] .
Gauge Non-Singlet Inflation in SUSY GUTs · A slope for the inflaton and the hybrid mechanism · 0.81
Cites as support 3 papers
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The symmetry allows to keep the inflaton direction flat at tree-level, thereby alleviating the $η-$problem [ref] .
Preserving Flat Directions During Inflation · Introduction · 0.96
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However, this is not a problem for the inflationary scenario discussed here: The axions are effectively frozen during inflation due to the strong Hubble damping [ref] .
Solving the $\eta$-Problem in Hybrid Inflation with Heisenberg Symmetry and Stabilized Modulus · Moduli stabilization during inflation · 0.96
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Indeed, a certain class of heterotic orbifolds, the `mini-landscape' models have been thoroughly studied and shown to yield spectra very close to the MSSM [ref] .
Supersymmetric Standard Model from the Heterotic String · Introduction · 0.96
Cites as background 23 papers
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In the `tribrid' inflation models, the superpotential is supposed to have the following structure [ref] [equation] where the three fields $X$ $,H$ and $Φ$ play different roles: they provide the large vacuum energy, the mechanism to end inflation and the `clock' determining when inflation ends (i.e. when $Φ$ reaches a critical value, one of the waterfall degrees of freedom becomes tachyonic), respectively.
Tribrid Inflation in Supergravity · Basic setup · 0.80
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In the `tribrid' inflation models, the superpotential is supposed to have the following structure [ref] [equation] where the three fields $X$ $,H$ and $Φ$ play different roles: they provide the large vacuum energy, the mechanism to end inflation and the `clock' determining when inflation ends (i.e. when $Φ$ reaches a critical value, one of the waterfall degrees of freedom becomes tachyonic), respectively.
Solving the $\eta$-Problem in Hybrid Inflation with Heisenberg Symmetry and Stabilized Modulus · Basic setup · 0.80
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For more details and examples in the present context of inflation model building, see e.g. [ref] .
Inflation and flat directions in modular invariant superstring effective theories · Anomalous $U(1)_A$ and generating expectation values · 0.97
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