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Flux-branes and the Dielectric Effect in String Theory

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Miguel S. Costa (ENS), Carlos A.R. Herdeiro (DAMTP), Lorenzo Cornalba (ENS)

High Energy Physics - Theory · Submitted 2 May 2001

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

The authors' main claim This provides a new setup to consider the gauge theory/gravity duality.

how it is stated · asserted 0.82 read the record →

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arXiv IDhep-th/0105023 (version 2)
Pith IDXM623F36, Pith's permanent record of this paper and its review
CitationCarlos A.R. Herdeiro (DAMTP), Lorenzo Cornalba (ENS), Miguel S. Costa (ENS). "Flux-branes and the Dielectric Effect in String Theory." arXiv:hep-th/0105023 (2001). https://pith.science/paper/XM623F36
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The compiled record

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, 7,105 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.29 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.13 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We consider the generalization to String and M-theory of the Melvin solution. These are flux p-branes which have (p+1)-dimensional Poincare invariance and are associated to an electric (p+1)-form field strength along their worldvolume. When a stack of Dp-branes is placed along the worldvolume of a flux (p+3)-brane it will expand to a spherical D(p+2)-brane due to the dielectric effect. This provides a new setup to consider the gauge theory/gravity duality. Compactifying M-theory on a circle we find the exact gravity solution of the type IIA theory describing the dielectric expansion of N D4-branes into a spherical bound state of D4-D6-branes, due to the presence of a flux 7-brane. In the decoupling limit, the deformation of the dual field theory associated with the presence of the flux brane is irrelevant in the UV. We calculate the gravitational radius and energy of the dielectric brane which give, respectively, a prediction for the VEV of scalars and vacuum energy of the dual field theory. Consideration of a spherical D6-brane probe with n units of D4-brane charge in the dielectric brane geometry suggests that the dual theory arises as the Scherk-Schwarz reduction of the M5-branes (2,0) conformal field theory. The probe potential has one minimum placed at the locus of the bulk dielectric brane and another associated to an inner dielectric brane shell.

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 consider the generalization to String and M-theory of the Melvin solution. contribution 0.66 0.75 0.04 asserted 0.59
s1 These are flux p-branes which have (p+1)-dimensional Poincare invariance and are associated to an electric (p+1)-form field strength along their worldvolume. background 0.69 0.21 0.05 asserted 1.00
s2 When a stack of Dp-branes is placed along the worldvolume of a flux (p+3)-brane it will expand to a spherical D(p+2)-brane due to the dielectric effect. result 0.51 0.30 0.23 asserted 1.00
s3 This provides a new setup to consider the gauge theory/gravity duality. interpretation 0.95 0.30 0.15 asserted 0.82
s4 Compactifying M-theory on a circle we find the exact gravity solution of the type IIA theory describing the dielectric expansion of N D4-branes into a spherical bound state of D4-D6-branes, due to the presence of a flux 7-brane. result 0.80 0.92 0.22 asserted 1.00
s5 In the decoupling limit, the deformation of the dual field theory associated with the presence of the flux brane is irrelevant in the UV. result 0.80 0.62 0.10 asserted 1.00
s6 We calculate the gravitational radius and energy of the dielectric brane which give, respectively, a prediction for the VEV of scalars and vacuum energy of the dual field theory. contribution 0.46 0.95 0.18 asserted 1.00
s7 Consideration of a spherical D6-brane probe with n units of D4-brane charge in the dielectric brane geometry suggests that the dual theory arises as the Scherk-Schwarz reduction of the M5-branes (2,0) conformal field theory. interpretation 0.74 0.65 0.16 hedged possibility 1.00
s8 The probe potential has one minimum placed at the locus of the bulk dielectric brane and another associated to an inner dielectric brane shell. result 1.00 0.77 0.09 asserted 0.97

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

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  • references and citing sentences
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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 consider the generalization to String and M-theory of the Melvin solution. These are flux p-branes which have (p+1)-dimensional Poincare invariance and are associated to an electric (p+1)-form field strength along their worldvolume. When a stack of Dp-branes is placed along the worldvolume of a flux (p+3)-brane it will expand to a spherical D(p+2)-brane due to the dielectric effect. This provides a new setup to consider the gauge theory/gravity duality. Compactifying M-theory on a circle we find the exact gravity solution of the type IIA theory describing the dielectric expansion of N D4-branes into a spherical bound state of D4-D6-branes, due to the presence of a flux 7-brane. In the decoupling limit, the deformation of the dual field theory associated with the presence of the flux brane is irrelevant in the UV. We calculate the gravitational radius and energy of the dielectric brane which give, respectively, a prediction for the VEV of scalars and vacuum energy of the dual field theory. Consideration of a spherical D6-brane probe with n units of D4-brane charge in the dielectric brane geometry suggests that the dual theory arises as the Scherk-Schwarz reduction of the M5-branes (2,0) conformal field theory. The probe potential has one minimum placed at the locus of the bulk dielectric brane and another associated to an inner dielectric brane shell.

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References
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5 arXiv papers cite this in 6 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 · 1 sentence without a confident label

Cites it as background 4 papers
  • It lends itself to many applications and generalizations ($e.g.$ [ref] ), including accommodating a Schwarzschild [ref] (or Reissner-Nordström [ref] or Kerr [ref] ) black hole (BH).

    Black holes in scalar multipolar Universes · Introduction · 0.86

  • Melvin twist applied to the $Dp$-brane background and the subsequent near horizon limit gives rise to supergravity duals for a variety of decoupled field theories[An earlier discussion of a construction of this type is [ref] .] depending on the orientation of the brane and the Melvin twist.

    Melvin Twists of global AdS_5 \times S_5 and their Non-Commutative Field Theory Dual · Introduction · 0.82

  • Melvin twist, also known as the T-s-T transformation, is a powerful solution generating technique in string and supergravity theories [ref] .

    Microscopic Formulation of Puff Field Theory · Introduction · 0.93

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