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General Low Energy Dynamics of Supersymmetric Monopoles

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Jerome P. Gauntlett, Chanju Kim, Kimyeong Lee, Piljin Yi

High Energy Physics - Theory · Submitted 3 Aug 2000

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

The authors' main claim We derive general low energy dynamics of monopoles and dyons in N=2 and N=4 supersymmetric Yang-Mills theories by utilising a collective coordinate expansion.

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arXiv IDhep-th/0008031 (version 2)
Pith IDZO23Z67V, Pith's permanent record of this paper and its review
CitationChanju Kim, Jerome P. Gauntlett, Kimyeong Lee, Piljin Yi. "General Low Energy Dynamics of Supersymmetric Monopoles." arXiv:hep-th/0008031 (2000). https://pith.science/paper/ZO23Z67V
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What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.06 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We derive general low energy dynamics of monopoles and dyons in N=2 and N=4 supersymmetric Yang-Mills theories by utilising a collective coordinate expansion. The resulting new kind of supersymmetric quantum mechanics incorporates the effects of multiple Higgs fields, both in the N=2 vector multiplet and hypermultiplets, having non-vanishing expectation values.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We derive general low energy dynamics of monopoles and dyons in N=2 and N=4 supersymmetric Yang-Mills theories by utilising a collective coordinate expansion. contribution 0.96 0.96 0.56 asserted 1.00
s1 The resulting new kind of supersymmetric quantum mechanics incorporates the effects of multiple Higgs fields, both in the N=2 vector multiplet and hypermultiplets, having non-vanishing expectation values. result 0.88 0.89 0.29 asserted 1.00

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

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We derive general low energy dynamics of monopoles and dyons in N=2 and N=4 supersymmetric Yang-Mills theories by utilising a collective coordinate expansion. The resulting new kind of supersymmetric quantum mechanics incorporates the effects of multiple Higgs fields, both in the N=2 vector multiplet and hypermultiplets, having non-vanishing expectation values.

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References
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10 arXiv papers cite this in 29 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 · 20 sentences without a confident label

Builds on it 1 paper
Uses its method or tool 1 paper
  • In section [ref] we carry out the semiclassical quantization of the theory around these soliton field configurations, following the “moduli space with potential” approach for the collective coordinate dynamics developed in [ref] .

    Semiclassical framed BPS states · Structure of the paper · 1.00

Compares with it 1 paper
  • If we set $θ_0 = 0$ then [ref] is the same, in form, as the standard vanilla result [ref] ,[We remind that the metric here is related to the conventional one via $g_mn = g_0^2/4π (g_phys)_mn$ and that it is $g$ that is being used to lower the index of the vector fields, $G(H)_m = g_mn G(H)^n$.] though the target of the sigma model is the moduli space of singular monopoles, $$, as defined in [ref]. $∇_m$ is the covariant derivative with respect to the Levi–Civita connection on $$, and $_t χ^n := χ̇^n + ż^p Γ^n_mpq χ^q$ involves the pullback of the covariant derivative to the worldline $z^m(t)$.

    Semiclassical framed BPS states · Collective coordinate ansatz · 0.93

Cites it as background 4 papers
  • Such massive nonlinear sigma-model mechanics first appeared with complex supersymmetry in a work by Freedman and Alvarez-Gaume [ref] , while the form of relevance for us was found more recently in the context of BPS dyons of the Seiberg-Witten theory [ref] .

    A Study of Wall-Crossing: Flavored Kinks in D=2 QED · counting generic BPS states · 0.92

  • This structure, for $=2$ gauge theories without defects, was uncovered in a series of papers beginning in the mid `90's [ref] ; for a review and complete list of references see [ref] .

    Semiclassical framed BPS states · Introduction · 0.97

  • This construction has been applied to the study of semiclassical BPS states by the work of [ref] and many others.

    Wall Crossing from Dirac Zeromodes · Asymptotic Regions of Moduli Space · 0.81

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