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Isometries, gaugings and N=2 supergravity decoupling
High Energy Physics - Theory · Submitted 3 Nov 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim A rigid N=2 theory on Minkowski or on AdS_4 spacetime, depending on whether the isometry is translational or rotational respectively.
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The abstract, sentence by sentence
We study off-shell rigid limits for the kinetic and scalar-potential terms os a single N=2 hypermultiplet. In the kinetic term, these rigid limits establish relations between four-dimensional quaternion-Kahler and hyper-Kahler target spaces with symmetry. The scalar potential is obtained by gauging the graviphoton along an isometry of the quaternion-Kahler space. The rigid limits unveil two distinct cases. A rigid N=2 theory on Minkowski or on AdS_4 spacetime, depending on whether the isometry is translational or rotational respectively. We apply these results to the quaternion-Kahler space with Heisenberg x U(1) isometry, which describes the universal hypermultiplet at type-II string one-loop.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study off-shell rigid limits for the kinetic and scalar-potential terms os a single N=2 hypermultiplet. | contribution 1.00 | 0.92 | 0.06 | asserted 0.88 |
| s1 | In the kinetic term, these rigid limits establish relations between four-dimensional quaternion-Kahler and hyper-Kahler target spaces with symmetry. | result 0.96 | 0.81 | 0.18 | asserted 1.00 |
| s2 | The scalar potential is obtained by gauging the graviphoton along an isometry of the quaternion-Kahler space. | method 0.75 | 0.68 | 0.11 | asserted 1.00 |
| s3 | The rigid limits unveil two distinct cases. | result 0.98 | 0.85 | 0.11 | asserted 0.99 |
| s4 | A rigid N=2 theory on Minkowski or on AdS_4 spacetime, depending on whether the isometry is translational or rotational respectively. | result 0.98 | 0.82 | 0.34 | asserted 0.99 |
| s5 | We apply these results to the quaternion-Kahler space with Heisenberg x U(1) isometry, which describes the universal hypermultiplet at type-II string one-loop. | contribution 0.89 | 0.84 | 0.10 | asserted 1.00 |
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The paper
Original abstract
We study off-shell rigid limits for the kinetic and scalar-potential terms os a single N=2 hypermultiplet. In the kinetic term, these rigid limits establish relations between four-dimensional quaternion-Kahler and hyper-Kahler target spaces with symmetry. The scalar potential is obtained by gauging the graviphoton along an isometry of the quaternion-Kahler space. The rigid limits unveil two distinct cases. A rigid N=2 theory on Minkowski or on AdS_4 spacetime, depending on whether the isometry is translational or rotational respectively. We apply these results to the quaternion-Kahler space with Heisenberg x U(1) isometry, which describes the universal hypermultiplet at type-II string one-loop.
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References
How the literature uses it
3 arXiv papers cite this in 4 sentences
Papers citing it · 2 sentences without a confident label
Uses its method or tool 1 paper
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In order to discuss the gravity-decoupling limit $κ→0$ of the supergravity theory and make contact with the APT model, we first redefine the hypermultiplet scalars ($⟨b_0⟩0$): [This is a simplistic use of the procedure described in Refs. [ref] .] [equation] where $μ̃$ is a mass scale (and $κμ̃∼μ̃/M_P$ is dimensionless).
All partial breakings in ${\cal N}=2$ supergravity with a single hypermultiplet · $N=1$ Minkowski vacua · 0.99
Compares with it 1 paper
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We would like to point out that our rigid limit is essentially different from the one considered, for instance, in [ref] .
Rigid limit for hypermultiplets and five-dimensional gauge theories · Conclusions · 0.96
What it cites · 25 sentences without a confident label
Cites as background 6 papers
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Later, a general correspondence between quaternionic manifolds with an isometry and hyper-Kähler manifolds with a rotational symmetry, endowed with a hyperholomorphic connection, was found in [ref] within a mathematical framework.
HyperKahler and quaternionic Kahler manifolds with S^1-symmetries · Introduction · 0.85
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Before proceeding with the alternative rigid limit, we would like to pause and make contact with the general results of Butter and Kuzenko on $N=2$ supersymmetric $σ$-models in $AdS_4$ [ref] .
N=2 supersymmetric sigma-models in AdS · The decoupling limits · 0.82
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Before proceeding with the alternative rigid limit, we would like to pause and make contact with the general results of Butter and Kuzenko on $N=2$ supersymmetric $σ$-models in $AdS_4$ [ref] .
The structure of N=2 supersymmetric nonlinear sigma models in AdS_4 · The decoupling limits · 0.82
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