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Supersymmetric Intersecting Domain Walls in Massive Hyper-Kahler Sigma Models
High Energy Physics - Theory · Submitted 16 Jul 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim These sigma models typically admit 1/2 supersymmetric domain wall solutions and we find, for a particular hyper-K\"ahler target, exact 1/4 supersymmetric static solutions representing a non-trivial intersection of two domain walls.
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The abstract, sentence by sentence
The general scalar potential of D-dimensional massive sigma-models with eight supersymmetries is found for $D=3,4$. These sigma models typically admit 1/2 supersymmetric domain wall solutions and we find, for a particular hyper-K\"ahler target, exact 1/4 supersymmetric static solutions representing a non-trivial intersection of two domain walls. We also show that the intersecting domain walls can carry Noether charge while preserving 1/4 supersymmetry. We briefly discuss an application to the D1-D5 brane system.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The general scalar potential of D-dimensional massive sigma-models with eight supersymmetries is found for $D=3,4$. | result 0.56 | 0.93 | 0.10 | asserted 1.00 |
| s1 | These sigma models typically admit 1/2 supersymmetric domain wall solutions and we find, for a particular hyper-K\"ahler target, exact 1/4 supersymmetric static solutions representing a non-trivial intersection of two domain walls. | result 0.90 | 0.94 | 0.56 | asserted 0.96 |
| s2 | We also show that the intersecting domain walls can carry Noether charge while preserving 1/4 supersymmetry. | result 0.99 | 0.95 | 0.21 | asserted 1.00 |
| s3 | We briefly discuss an application to the D1-D5 brane system. | contribution 0.51 | 0.73 | 0.03 | asserted 0.62 |
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The paper
Original abstract
The general scalar potential of D-dimensional massive sigma-models with eight supersymmetries is found for $D=3,4$. These sigma models typically admit 1/2 supersymmetric domain wall solutions and we find, for a particular hyper-K\"ahler target, exact 1/4 supersymmetric static solutions representing a non-trivial intersection of two domain walls. We also show that the intersecting domain walls can carry Noether charge while preserving 1/4 supersymmetry. We briefly discuss an application to the D1-D5 brane system.
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6 arXiv papers cite this in 6 sentences
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Cites it as background 1 paper
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In five and six flat dimensions, nonlinear sigma models also require hyper-Kähler geometry [ref] .
Supersymmetric Nonlinear Sigma Model in AdS_5 · Introduction · 0.88
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