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Current correlators in the Coulomb branch of N=4 SYM
High Energy Physics - Theory · Submitted 6 Oct 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find the surprising result that all 2-point functions of gauge currents fall into the same universality class, irrespectively of whether they correspond to broken or unbroken symmetries.
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The abstract, sentence by sentence
We study correlators of R-symmetry currents in the Coulomb branch of N = 4 supersymmetric gauge theory in the large-N limit, using the AdS/CFT correspondence. In particular, we consider gauge fields in the presence of gravity and scalar fields parameterizing the coset SL(6,R)/SO(6) in the context of five-dimensional gauged supergravity. From a ten-dimensional point of view these backgrounds correspond to continuous D3-brane distributions. We find the surprising result that all 2-point functions of gauge currents fall into the same universality class, irrespectively of whether they correspond to broken or unbroken symmetries. We show that the problem of finding the spectrum can be mapped into an equivalent Schroedinger problem for supersymmetric quantum mechanics. The corresponding potential is the supersymmetric partner of the potential arising in studies of the spectrum for massless scalars and transverse graviton fluctuations in these backgrounds and the associated spectra are also identical. We discuss in detail two examples where these computations can be done explicitly as in the conformal case.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study correlators of R-symmetry currents in the Coulomb branch of N = 4 supersymmetric gauge theory in the large-N limit, using the AdS/CFT correspondence. | contribution 0.98 | 0.94 | 0.05 | asserted 0.93 |
| s1 | In particular, we consider gauge fields in the presence of gravity and scalar fields parameterizing the coset SL(6,R)/SO(6) in the context of five-dimensional gauged supergravity. | method 0.75 | 0.51 | 0.03 | asserted 0.93 |
| s2 | From a ten-dimensional point of view these backgrounds correspond to continuous D3-brane distributions. | background 0.43 | 0.27 | 0.02 | asserted 1.00 |
| s3 | We find the surprising result that all 2-point functions of gauge currents fall into the same universality class, irrespectively of whether they correspond to broken or unbroken symmetries. | result 1.00 | 0.96 | 0.77 | asserted 1.00 |
| s4 | We show that the problem of finding the spectrum can be mapped into an equivalent Schroedinger problem for supersymmetric quantum mechanics. | method 0.86 | 0.94 | 0.08 | asserted 1.00 |
| s5 | The corresponding potential is the supersymmetric partner of the potential arising in studies of the spectrum for massless scalars and transverse graviton fluctuations in these backgrounds and the associated spectra are also identical. | result 0.92 | 0.85 | 0.09 | asserted 1.00 |
| s6 | We discuss in detail two examples where these computations can be done explicitly as in the conformal case. | contribution 0.88 | 0.88 | 0.05 | asserted 0.97 |
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The paper
Original abstract
We study correlators of R-symmetry currents in the Coulomb branch of N = 4 supersymmetric gauge theory in the large-N limit, using the AdS/CFT correspondence. In particular, we consider gauge fields in the presence of gravity and scalar fields parameterizing the coset SL(6,R)/SO(6) in the context of five-dimensional gauged supergravity. From a ten-dimensional point of view these backgrounds correspond to continuous D3-brane distributions. We find the surprising result that all 2-point functions of gauge currents fall into the same universality class, irrespectively of whether they correspond to broken or unbroken symmetries. We show that the problem of finding the spectrum can be mapped into an equivalent Schroedinger problem for supersymmetric quantum mechanics. The corresponding potential is the supersymmetric partner of the potential arising in studies of the spectrum for massless scalars and transverse graviton fluctuations in these backgrounds and the associated spectra are also identical. We discuss in detail two examples where these computations can be done explicitly as in the conformal case.
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References
How the literature uses it
6 arXiv papers cite this in 10 sentences
Papers citing it · 8 sentences without a confident label
Builds on it 1 paper
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Our aim is to extend this kind of analysis to the vector sector [ref] .
On Exact Symmetries and Massless Vectors in Holographic Flows and other Flux Vacua · Introduction · 0.91
Uses its method or tool 1 paper
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The Stückelberg formalism for the gauging of axionic shift symmetries is particularly convenient in this respect [ref] .
On Exact Symmetries and Massless Vectors in Holographic Flows and other Flux Vacua · Introduction · 0.89
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