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On Low-Energy Effective Actions in N = 2, 4 Superconformal Theories in Four Dimensions
High Energy Physics - Theory · Submitted 27 Nov 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim While our explicit computations are done in the one-loop approximation, our conclusions about the structure of the effective actions in N=2 superconformal theories are general.
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The abstract, sentence by sentence
We study some aspects of low-energy effective actions in 4-d superconformal gauge theories on the Coulomb branch. We describe superconformal invariants constructed in terms of N=2 abelian vector multiplet which play the role of building blocks for the N=2,4 supersymmetric low-energy effective actions. We compute the one-loop effective actions in constant N=2 field strength background in N=4 SYM theory and in N=2 SU(2) SYM theory with four hypermultiplets in fundamental representation. Using the classification of superconformal invariants we then find the manifestly N=2 superconformal form of these effective actions. While our explicit computations are done in the one-loop approximation, our conclusions about the structure of the effective actions in N=2 superconformal theories are general. We comment on some applications to supergravity - gauge theory duality in the description of D-brane interactions.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study some aspects of low-energy effective actions in 4-d superconformal gauge theories on the Coulomb branch. | contribution 0.79 | 0.91 | 0.05 | asserted 0.85 |
| s1 | We describe superconformal invariants constructed in terms of N=2 abelian vector multiplet which play the role of building blocks for the N=2,4 supersymmetric low-energy effective actions. | contribution 0.96 | 0.89 | 0.12 | asserted 1.00 |
| s2 | We compute the one-loop effective actions in constant N=2 field strength background in N=4 SYM theory and in N=2 SU(2) SYM theory with four hypermultiplets in fundamental representation. | contribution 0.59 | 0.96 | 0.05 | asserted 1.00 |
| s3 | Using the classification of superconformal invariants we then find the manifestly N=2 superconformal form of these effective actions. | result 0.55 | 0.96 | 0.25 | asserted 1.00 |
| s4 | While our explicit computations are done in the one-loop approximation, our conclusions about the structure of the effective actions in N=2 superconformal theories are general. | limitation 0.83 | 0.68 | 0.33 | asserted 1.00 |
| s5 | We comment on some applications to supergravity - gauge theory duality in the description of D-brane interactions. | interpretation 0.75 | 0.60 | 0.04 | unclear 0.74 |
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The paper
Original abstract
We study some aspects of low-energy effective actions in 4-d superconformal gauge theories on the Coulomb branch. We describe superconformal invariants constructed in terms of N=2 abelian vector multiplet which play the role of building blocks for the N=2,4 supersymmetric low-energy effective actions. We compute the one-loop effective actions in constant N=2 field strength background in N=4 SYM theory and in N=2 SU(2) SYM theory with four hypermultiplets in fundamental representation. Using the classification of superconformal invariants we then find the manifestly N=2 superconformal form of these effective actions. While our explicit computations are done in the one-loop approximation, our conclusions about the structure of the effective actions in N=2 superconformal theories are general. We comment on some applications to supergravity - gauge theory duality in the description of D-brane interactions.
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References
How the literature uses it
13 arXiv papers cite this in 27 sentences
Papers citing it · 16 sentences without a confident label
Builds on it 4 papers
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which generalize those introduced in [ref] .
Super-Weyl anomalies in N=2 supergravity and (non)local effective actions · Discussion · 0.87
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This is a curved superspace generalisation of the conformal primary weight-zero chiral superfield introduced in [ref] .
Superconformal duality-invariant models and $\mathcal{N} = 4$ SYM effective action · Superconformal duality-invariant models · 1.00
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We can then construct $^-2 Δ(^-2 Δ̅ U)$, and so on and so forth.[This is a generalization of the construction [ref] of rigid superconformal invariants containing $F^n$.]
Generating higher-derivative couplings in N=2 supergravity · Higher derivative couplings of tensor and vector multiplets · 1.00
Uses its method or tool 1 paper
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Taking into account such an analogy, the calculations of the effective action ([ref]) can be carried out using the methods developed earlier for the study of the effective action in $N=2$ supersymmetric quantum gauge theory (see, e.g. [ref] ).
On a structure of the one-loop divergences in $4D, {\cal N}=2$ supersymmetric sigma-model · One-loop divergences · 0.99
Cites it as background 5 papers
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Superconformal actions of the form [ref] were discussed in [ref] in the rigid supersymmetric case, and later in the supergravity framework [ref] .
Non-compact duality, super-Weyl invariance and effective actions · Local $=2$ supersymmetry · 0.91
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Some higher-derivative invariants in $N=2$ supersymmetry and supergravity have been known for some time, such as those involving functions of the field strengths for supersymmetric gauge theories [ref] , the chiral invariant containing the square of the Weyl tensor (possibly coupled to matter chiral multiplets) [ref] and invariants for tensor multiplets [ref] .
New higher-derivative invariants in N=2 supergravity and the Gauss-Bonnet term · Introduction · 1.00
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It yields important contributions to the effective action of $N=2$ supersymmetric gauge theories (for some additional references, see e.g., [ref] ).
New supersymmetric higher-derivative couplings: Full N=2 superspace does not count! · Introduction · 0.93
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