Non-perturbative scalar potential inspired by type IIA strings on rigid CY

Sergei Alexandrov; Sergei V. Ketov; Yuki Wakimoto

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Non-perturbative scalar potential inspired by type IIA strings on rigid CY

Sergei Alexandrov, Sergei V. Ketov, Yuki Wakimoto

High Energy Physics - Theory · Submitted 18 Jul 2016

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

The authors' main claim Whereas the stability of the axions is easily achieved, numerical analysis shows instabilities in the second subspace.

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arXiv ID1607.05293 (version 2)

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CitationSergei Alexandrov, Sergei V. Ketov, Yuki Wakimoto. "Non-perturbative scalar potential inspired by type IIA strings on rigid CY." arXiv:1607.05293 (2016). https://pith.science/paper/VJRDHCPS

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Motivated by a class of flux compactifications of type IIA strings on rigid Calabi-Yau manifolds, preserving N=2 local supersymmetry in four dimensions, we derive a non-perturbative potential of all scalar fields from the exact D-instanton corrected metric on the hypermultiplet moduli space. Applying this potential to moduli stabilization, we find a discrete set of exact vacua for axions. At these critical points, the stability problem is decoupled into two subspaces spanned by the axions and the other fields (dilaton and Kahler moduli), respectively. Whereas the stability of the axions is easily achieved, numerical analysis shows instabilities in the second subspace.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Motivated by a class of flux compactifications of type IIA strings on rigid Calabi-Yau manifolds, preserving N=2 local supersymmetry in four dimensions, we derive a non-perturbative potential of all scalar fields from the exact D-instanton corrected metric on the hypermultiplet moduli space.	contribution 0.97	0.96	0.19	asserted 1.00
s1	Applying this potential to moduli stabilization, we find a discrete set of exact vacua for axions.	result 0.99	0.95	0.30	asserted 1.00
s2	At these critical points, the stability problem is decoupled into two subspaces spanned by the axions and the other fields (dilaton and Kahler moduli), respectively.	result 0.54	0.81	0.08	asserted 1.00
s3	Whereas the stability of the axions is easily achieved, numerical analysis shows instabilities in the second subspace.	result 0.98	0.92	0.47	asserted 1.00

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Original abstract

Motivated by a class of flux compactifications of type IIA strings on rigid Calabi-Yau manifolds, preserving N=2 local supersymmetry in four dimensions, we derive a non-perturbative potential of all scalar fields from the exact D-instanton corrected metric on the hypermultiplet moduli space. Applying this potential to moduli stabilization, we find a discrete set of exact vacua for axions. At these critical points, the stability problem is decoupled into two subspaces spanned by the axions and the other fields (dilaton and Kahler moduli), respectively. Whereas the stability of the axions is easily achieved, numerical analysis shows instabilities in the second subspace.

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4 arXiv papers cite this in 14 sentences

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Papers citing it · 12 sentences without a confident label

Uses its method or tool 1 paper

In the next section 2 we review basic information about the relevant CY string compactifications with fluxes, and provide the scalar potential in the corresponding (gauged) $N=2$ supergravity by following [ref] that is our starting point.

No inflation in type IIA strings on rigid CY spaces · Introduction · 0.85

Uses its data or values 1 paper

The associated moment maps $μ⃗_I$ are [ref] μ_i^+= 0, μ_i^3=e_i/2r, μ_0^+= /2r$-λh$, μ_0^3=1/2r$e_0+h-ζ$.

No inflation in type IIA strings on rigid CY spaces · Scalar potential in type-II flux-compactifications · 0.90

What it cites · 60 sentences without a confident label

Contests 5 papers

However, any quantum correction, either perturbative or non-perturbative, breaks the non-abelian symmetries of the hypermultiplet moduli space, so that the non-abelian gaugings do not apply in quantum theory.[That is why we omitted the non-abelian contributions in the basic equation [ref] of the scalar potential in $N=2$ gauged supergravity.] Thus, the vacua constructed in [ref] do not appear to be relevant in the context of full string theory where quantum corrections are not ignored.

The $c$-map, Tits Satake subalgebras and the search for $\mathcal{N}=2$ inflaton potentials · Conclusions · contest 0.84
However, any quantum correction, either perturbative or non-perturbative, breaks the non-abelian symmetries of the hypermultiplet moduli space, so that the non-abelian gaugings do not apply in quantum theory.[That is why we omitted the non-abelian contributions in the basic equation [ref] of the scalar potential in $N=2$ gauged supergravity.] Thus, the vacua constructed in [ref] do not appear to be relevant in the context of full string theory where quantum corrections are not ignored.

A Search for an N=2 Inflaton Potential · Conclusions · contest 0.84
However, any quantum correction, either perturbative or non-perturbative, breaks the non-abelian symmetries of the hypermultiplet moduli space, so that the non-abelian gaugings do not apply in quantum theory.[That is why we omitted the non-abelian contributions in the basic equation [ref] of the scalar potential in $N=2$ gauged supergravity.] Thus, the vacua constructed in [ref] do not appear to be relevant in the context of full string theory where quantum corrections are not ignored.

Stable de Sitter Vacua from N=2 Supergravity · Conclusions · contest 0.84

Uses the method or tool of 1 paper

Usually, these invariants are calculated by using mirror symmetry [ref] .

Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces · Conclusions · 0.83

Uses data or values from 2 papers

They were computed in [ref] and, after restricting them to four dimensions, the result reads p^+ = /4r $-λζ-1/8π^2∑_γ$ , p^3 = 1/8r $σ+ζ-ζ$.

Hypermultiplet metric and D-instantons · The moment maps · 0.91
The intersection numbers of this CY were recently calculated in [ref] , and are given by[We are very grateful to Eberhard Freitag for informing us about his calculations.] κ_111=344, κ_112=492 κ_122=600, κ_222=440.

A rigid Calabi-Yau manifold with Picard number two · Generic case: stability analysis · 0.96

Compares with 6 papers

Substituting the corresponding values of $κ^2$ and $a$, one can check that the scalar potential [ref] agrees with the one given in [ref] , but differs by the factor of $1/4$ from those in [ref] .

The $c$-map, Tits Satake subalgebras and the search for $\mathcal{N}=2$ inflaton potentials · Quaternionic geometry and scalar potential · 1.00
Substituting the corresponding values of $κ^2$ and $a$, one can check that the scalar potential [ref] agrees with the one given in [ref] , but differs by the factor of $1/4$ from those in [ref] .

Gauging Isometries on Hyperkahler Cones and Quaternion-Kahler Manifolds · Quaternionic geometry and scalar potential · 1.00
Substituting the corresponding values of $κ^2$ and $a$, one can check that the scalar potential [ref] agrees with the one given in [ref] , but differs by the factor of $1/4$ from those in [ref] .

Membrane Instantons and de Sitter Vacua · Quaternionic geometry and scalar potential · 1.00

Cites as support 2 papers

Second, the vanishing of Romans mass $m^0$ allows to avoid adding orientifold planes, otherwise, needed to satisfy the D6-brane tadpole cancellation condition [ref] .

Moduli Potentials in Type IIA Compactifications with RR and NS Flux · Flux compactifications · 0.97
Besides, this expectation is supported by the recent results about perturbative $α'$ and $g_s$-corrections for compactifications on manifolds with the $SU(3)$ structure [ref] .

Quantum Corrections in String Compactifications on SU(3) Structure Geometries · Quantum corrections · 0.98

Cites as background 20 papers

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] .

Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes · Flux compactifications · 0.80
Geometrically, $t$ parametrizes the fiber of the twistor space $$, a $$ bundle over $_H$, whereas $_γ$ are Fourier modes of holomorphic Darboux coordinates on $$ [ref] .

D-instantons and twistors · The metric · 0.83
Geometrically, $t$ parametrizes the fiber of the twistor space $$, a $$ bundle over $_H$, whereas $_γ$ are Fourier modes of holomorphic Darboux coordinates on $$ [ref] .

Linear perturbations of quaternionic metrics · The metric · 0.83

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