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Four-Dimensional Superconformal Theories with Interacting Boundaries or Defects

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Johanna Erdmenger, Zachary Guralnik, Ingo Kirsch (HU Berlin)

High Energy Physics - Theory · Submitted 3 Mar 2002

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

The authors' main claim Moreover we derive Callan-Symanzik equations for these models using their superconformal transformation properties and show that the beta functions vanish to all orders in perturbation theory, such that the models remain superconformal upon quantization.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0203020 (version 2)
Pith IDFGN3IXW6, Pith's permanent record of this paper and its review
CitationIngo Kirsch (HU Berlin), Johanna Erdmenger, Zachary Guralnik. "Four-Dimensional Superconformal Theories with Interacting Boundaries or Defects." arXiv:hep-th/0203020 (2002). https://pith.science/paper/FGN3IXW6
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,394 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.20 · compares with prior results 0.66 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We study four-dimensional superconformal field theories coupled to three-dimensional superconformal boundary or defect degrees of freedom. Starting with bulk N=2, d=4 theories, we construct abelian models preserving N=2, d=3 supersymmetry and the conformal symmetries under which the boundary/defect is invariant. We write the action, including the bulk terms, in N=2, d=3 superspace. Moreover we derive Callan-Symanzik equations for these models using their superconformal transformation properties and show that the beta functions vanish to all orders in perturbation theory, such that the models remain superconformal upon quantization. Furthermore we study a model with N=4 SU(N) Yang-Mills theory in the bulk coupled to a N=4, d=3 hypermultiplet on a defect. This model was constructed by DeWolfe, Freedman and Ooguri, and conjectured to be conformal based on its relation to an AdS configuration studied by Karch and Randall. We write this model in N=2, d=3 superspace, which has the distinct advantage that non-renormalization theorems become transparent. Using N=4, d=3 supersymmetry, we argue that the model is conformal.

background contribution method result interpretation main claim

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 study four-dimensional superconformal field theories coupled to three-dimensional superconformal boundary or defect degrees of freedom. contribution 0.90 0.86 0.06 asserted 0.94
s1 Starting with bulk N=2, d=4 theories, we construct abelian models preserving N=2, d=3 supersymmetry and the conformal symmetries under which the boundary/defect is invariant. contribution 0.60 0.94 0.07 asserted 1.00
s2 We write the action, including the bulk terms, in N=2, d=3 superspace. method 0.83 0.95 0.03 asserted 1.00
s3 Moreover we derive Callan-Symanzik equations for these models using their superconformal transformation properties and show that the beta functions vanish to all orders in perturbation theory, such that the models remain superconformal upon quantization. result 0.92 0.95 0.49 asserted 1.00
s4 Furthermore we study a model with N=4 SU(N) Yang-Mills theory in the bulk coupled to a N=4, d=3 hypermultiplet on a defect. contribution 0.99 0.78 0.04 asserted 0.98
s5 This model was constructed by DeWolfe, Freedman and Ooguri, and conjectured to be conformal based on its relation to an AdS configuration studied by Karch and Randall. background 0.98 0.04 0.05 speculative 0.48
s6 We write this model in N=2, d=3 superspace, which has the distinct advantage that non-renormalization theorems become transparent. method 0.83 0.91 0.05 asserted 0.99
s7 Using N=4, d=3 supersymmetry, we argue that the model is conformal. result 0.71 0.90 0.30 asserted 0.74

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

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not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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 study four-dimensional superconformal field theories coupled to three-dimensional superconformal boundary or defect degrees of freedom. Starting with bulk N=2, d=4 theories, we construct abelian models preserving N=2, d=3 supersymmetry and the conformal symmetries under which the boundary/defect is invariant. We write the action, including the bulk terms, in N=2, d=3 superspace. Moreover we derive Callan-Symanzik equations for these models using their superconformal transformation properties and show that the beta functions vanish to all orders in perturbation theory, such that the models remain superconformal upon quantization. Furthermore we study a model with N=4 SU(N) Yang-Mills theory in the bulk coupled to a N=4, d=3 hypermultiplet on a defect. This model was constructed by DeWolfe, Freedman and Ooguri, and conjectured to be conformal based on its relation to an AdS configuration studied by Karch and Randall. We write this model in N=2, d=3 superspace, which has the distinct advantage that non-renormalization theorems become transparent. Using N=4, d=3 supersymmetry, we argue that the model is conformal.

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References
How later papers used it

63 later papers cite it

Evidence: substantial. 61 of the citing papers share no author with it, and 10 of those carry a confident label from Pith's citation classifier.

Pith read 19 of the 92 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its method or tool 1 of 4 papers with this label
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60 arXiv papers cite this in 88 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 · 35 sentences without a confident label

Builds on it 3 papers
  • In this paper we will study the dynamics of the theory on the world volume of a mixed D3 and D5 brane construction with a 2+1 dimensional intersection$^1$ , which has previously been studied at zero temperature in the absence of chemical potential in [ref] .

    R-Charge Chemical Potential in a 2+1 Dimensional System · Introduction · 0.91

  • In this paper we will study the dynamics of the theory on the world volume of a mixed D3 and D5 brane construction with a 2+1 dimensional intersection, which has previously been studied at zero temperature in the absence of chemical potential in [ref] .

    Chemical Potential in the Gravity Dual of a 2+1 Dimensional System · Introduction · 0.89

  • This is the nonabelian version of the map given in [ref] 's equations (2.18)-(2.21).

    Supersymmetry of the D3/D5 Defect Field Theory · Mapping Between Superspace-Based Formulations · 0.97

Uses its method or tool 4 papers
Compares with it 3 papers
Cites it as support 1 paper
Cites it as background 36 papers
  • Holographic descriptions of $N=4$ super Yang-Mills theory [ref] with defect D5 probe branes [ref] (and other related systems [ref] ) provide a calculable system with similar gross properties - fermions on the defect interacting by higher dimension conformal gauge fields.

    Holographic Graphene in a Cavity · Introduction · 0.91

  • In the string-theory literature conformal interfaces were first studied as holographic duals [ref] to codimension-one anti-de Sitter branes [ref] .

    On the Symmetries of Classical String Theory · Interfaces as spectrum-generating symmetries · 0.86

  • We consider four-dimensional $𝒩=4$ SYM theory in the bulk interacting with a defect of codimension one situated at $x_3=0$ [ref] .

    Two-point functions in AdS/dCFT and the boundary conformal bootstrap equations · Action and propagators · 0.89

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