Multi-Domain Walls in Massive Supersymmetric Sigma-Models

David Tong; Jerome P. Gauntlett; Paul K. Townsend

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Multi-Domain Walls in Massive Supersymmetric Sigma-Models

Jerome P. Gauntlett, David Tong, Paul K. Townsend

High Energy Physics - Theory · Submitted 19 Dec 2000

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

The authors' main claim Massive maximally-supersymmetric sigma models are shown to exhibit multiple static kink-domain wall solutions that preserve 1/2 of the supersymmetry.

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arXiv IDhep-th/0012178 (version 2)

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CitationDavid Tong, Jerome P. Gauntlett, Paul K. Townsend. "Multi-Domain Walls in Massive Supersymmetric Sigma-Models." arXiv:hep-th/0012178 (2000). https://pith.science/paper/S2AKMGGG

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.68 · compares with prior results 0.52 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

Massive maximally-supersymmetric sigma models are shown to exhibit multiple static kink-domain wall solutions that preserve 1/2 of the supersymmetry. The kink moduli space admits a natural Kahler metric. We examine in some detail the case when the target of the sigma model is given by the co-tangent bundle of CP^n equipped with the Calabi metric, and we show that there exist BPS solutions corresponding to n kinks at arbitrary separation. We also describe how 1/4-BPS charged and intersecting domain walls are described in the low-energy dynamics on the kink moduli space. We comment on the similarity of these results to monopole dynamics.

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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	Massive maximally-supersymmetric sigma models are shown to exhibit multiple static kink-domain wall solutions that preserve 1/2 of the supersymmetry.	result 0.96	0.89	0.77	asserted 1.00
s1	The kink moduli space admits a natural Kahler metric.	result 0.99	0.72	0.09	asserted 1.00
s2	We examine in some detail the case when the target of the sigma model is given by the co-tangent bundle of CP^n equipped with the Calabi metric, and we show that there exist BPS solutions corresponding to n kinks at arbitrary separation.	result 0.56	0.94	0.22	asserted 1.00
s3	We also describe how 1/4-BPS charged and intersecting domain walls are described in the low-energy dynamics on the kink moduli space.	contribution 0.69	0.92	0.08	asserted 0.97
s4	We comment on the similarity of these results to monopole dynamics.	interpretation 1.00	0.58	0.04	unclear 0.41

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

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Original abstract

Massive maximally-supersymmetric sigma models are shown to exhibit multiple static kink-domain wall solutions that preserve 1/2 of the supersymmetry. The kink moduli space admits a natural Kahler metric. We examine in some detail the case when the target of the sigma model is given by the co-tangent bundle of CP^n equipped with the Calabi metric, and we show that there exist BPS solutions corresponding to n kinks at arbitrary separation. We also describe how 1/4-BPS charged and intersecting domain walls are described in the low-energy dynamics on the kink moduli space. We comment on the similarity of these results to monopole dynamics.

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References

Forward citations

Cited by 7 Pith papers

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

Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
hep-th 2006-02 conditional novelty 7.0 of 10

A superspace lambda-expansion around BPS solitons produces the effective Kähler potential directly, reproducing known wall and vortex metrics and yielding new non-Abelian results including a boojum energy.
Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes
hep-th 2014-09 conditional novelty 6.0 of 10

Grassmann sigma models on R x S1 with twisted boundary conditions admit charged bions and BPS fractional instantons of topological charge greater than one that cannot be decomposed into an instanton plus fractional in...
Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
hep-th 2006-02 conditional novelty 6.0 of 10

The authors derive explicit N=2 supersymmetric sigma model actions on the tangent bundle TQ^{n-2} and, for the dimension-four base Q^2, the cotangent bundle T*Q^2, using projective superspace.
Solitons in the Higgs phase -- the moduli matrix approach --
hep-th 2006-02 conditional novelty 6.0 of 10

The moduli matrix organizes BPS solitons in the Higgs phase and yields their moduli spaces, including Grassmannian wall moduli and half-ADHM vortex moduli.
Josephson vortices and the Atiyah-Manton construction
hep-th 2012-07 conditional novelty 5.0 of 10

Adding a Josephson coupling to a two-scalar U(1) gauge theory turns the domain-wall world-volume into a sine-Gordon model whose kinks are identified with bulk vortices, realizing a lower-dimensional Atiyah-Manton cons...

Show 2 more citing papers

Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
hep-th 2007-03 accept novelty 3.0 of 10

The review argues that non-Abelian flux tubes in N=2 SQCD carry orientational moduli governed by a two-dimensional CP(N-1) model, and that confined monopoles appear as kinks of that worldsheet theory.
TASI Lectures on Solitons
hep-th 2005-09 accept novelty 3.0 of 10

The lectures give a unified, moduli-space-centered account of instantons, monopoles, vortices and domain walls, showing how each arises from another by dimensional reduction, a scalar vev, or a mass deformation.

How the literature uses it

16 arXiv papers cite this in 18 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 · 11 sentences without a confident label

Builds on it 1 paper

The construction of [ref] was extended to include a superpotential in [ref] .

N=2 supersymmetric sigma-models in AdS · Introduction · 0.85

Cites it as background 5 papers

Multi-kinks were introduced in [ref] , and are the sigma model analog of monopoles.

Kinks, chains, and loop groups in the CP^n sigma models · Multi-kinks · 0.83
More recent investigations indicated that $N=2$ supersymmetric four-dimensional hyper-Kähler sigma models have $Q$-lump configurations which are $1/4$ or $1/8$ BPS states [ref] . $Q$-lumps of the $N=2$ supersymmetric $ℂP^N$ model carrying half of the supersymmetries has appeared in [ref] .

Noncommutative Q-Lumps · Introduction · 0.96
As for Q-solitons, the $ℂP^N$ model (and Grassmannian generalization) admit parallel Q-kinks [ref] , Q-lump strings stretched between parallel domain walls [ref] and Q-domain wall networks [ref] .

Isospinning ${\mathbb C}P^2$ solitons · Introduction · 0.93

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