Supersymmetric Nonlinear Sigma Model in AdS_5

Jingsheng Li; Jonathan Bagger

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Supersymmetric Nonlinear Sigma Model in AdS_5

Jonathan Bagger, Jingsheng Li

High Energy Physics - Theory · Submitted 12 Jun 2011

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

The authors' main claim We use component fields and find that the complex bosons must be the coordinates of a hyper-Kahler manifold that admits a Killing vector satisfying an inhomogeneous tri-holomorphic condition.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.04 · mentions code or data availability 0.01.

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We construct the supersymmetric nonlinear sigma model in a fixed AdS_5 background. We use component fields and find that the complex bosons must be the coordinates of a hyper-Kahler manifold that admits a Killing vector satisfying an inhomogeneous tri-holomorphic condition. We propose boundary conditions that map the on-shell bulk hypermultiplets into off-shell chiral multiplets on 3-branes that foliate the bulk. The supersymmetric AdS_5 isometries reduce to superconformal transformations on the brane fields.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We construct the supersymmetric nonlinear sigma model in a fixed AdS_5 background.	contribution 1.00	0.95	0.14	asserted 1.00
s1	We use component fields and find that the complex bosons must be the coordinates of a hyper-Kahler manifold that admits a Killing vector satisfying an inhomogeneous tri-holomorphic condition.	result 0.92	0.94	0.26	asserted 1.00
s2	We propose boundary conditions that map the on-shell bulk hypermultiplets into off-shell chiral multiplets on 3-branes that foliate the bulk.	contribution 0.95	0.85	0.19	asserted 0.63
s3	The supersymmetric AdS_5 isometries reduce to superconformal transformations on the brane fields.	result 0.85	0.69	0.25	asserted 1.00

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The paper

Original abstract

We construct the supersymmetric nonlinear sigma model in a fixed AdS_5 background. We use component fields and find that the complex bosons must be the coordinates of a hyper-Kahler manifold that admits a Killing vector satisfying an inhomogeneous tri-holomorphic condition. We propose boundary conditions that map the on-shell bulk hypermultiplets into off-shell chiral multiplets on 3-branes that foliate the bulk. The supersymmetric AdS_5 isometries reduce to superconformal transformations on the brane fields.

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7 arXiv papers cite this in 15 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 · 10 sentences without a confident label

Builds on it 1 paper

The results of such an analysis will be the most general 5D $=1$ supersymmetric $$-model in $AdS_5$ realized in terms of 4D $=1$ chiral superfields [ref] .

Extended supersymmetric sigma models in AdS_4 from projective superspace · Conclusions · 0.82

Compares with it 2 papers

Recently, work on nonlinear $σ$-models in $AdS_5$ with eight supercharges [ref] has uncovered a similar SO(2) isometry in a different context.

The structure of N=2 supersymmetric nonlinear sigma models in AdS_4 · Concluding remarks · 0.88
It is quite intriguing that some of the properties we have discussed have recently been independently discovered in the context of supersymmetric nonlinear sigma-models in $AdS_5$ [ref] .[The paper [ref] , which appeared on the preprint arXiv shortly after the first version of this paper, was the first to note that the Killing vector in AdS$_5$ was holomorphic while [ref] later noted that it rotated the complex structures.

N=2 supersymmetric sigma-models in AdS · Discussion · 0.96

Cites it as background 1 paper

The most general nonlinear $$-models with 4D $=2$ AdS and 5D $=1$ AdS supersymmetries were constructed in [ref] and [ref] , respectively, in terms of 4D $=1$ chiral superfields.[The component formulation of the 5D $=1$ supersymmetric $$-models constructed in [ref] was given in [ref] .] The common feature of the 4D $=2$ and 5D $=1$ AdS supersymmetries is that the $$-model target spaces are those hyperkähler manifolds which possess a Killing vector field generating an SO(2) group of rotations on the two-sphere of complex structures.[Such hyperkähler manifolds were first described in [ref] .] Not all hyperkähler manifolds possess such an SO(2) isometry group.

Symmetries of curved superspace in five dimensions · Concluding comments · 0.85

What it cites · 4 sentences without a confident label

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Our work confirms and extends results that were previously found in superspace [ref] .

AdS_5 Supersymmetry in N=1 Superspace · Summary · 0.95

Compares with 2 papers

We construct the most general Lagrangian and transformations laws, and provide independent confirmation of the results of [ref] .

AdS_5 Supersymmetry in N=1 Superspace · Introduction · 0.86
It is similar to the condition found in [ref] for $N=2$ hyper-Kähler models in AdS$_4$.

N=2 supersymmetric sigma-models in AdS · Hypermultiplets in AdS$_5$ · 1.00

Cites as background 3 papers

During the the past few years, this issue was examined in $N = 2$ superspace [ref] , as well as in warped $N = 1$ superspace [ref] .

AdS_5 Supersymmetry in N=1 Superspace · Introduction · 0.92
During the the past few years, this issue was examined in $N = 2$ superspace [ref] , as well as in warped $N = 1$ superspace [ref] .

On Five-dimensional Superspaces · Introduction · 0.92
In five and six flat dimensions, nonlinear sigma models also require hyper-Kähler geometry [ref] .

Supersymmetric Intersecting Domain Walls in Massive Hyper-Kahler Sigma Models · Introduction · 0.88

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