Twistors, harmonics and holomorphic Chern-Simons

Schwab, B.; Vergu, Cristian

doi:10.1007/jhep03(2013)046

Cited by 5 publications

(5 citation statements)

References 50 publications

(88 reference statements)

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“…The form of this Lagrangian resembles the Chern-Simons Lagrangians, though the action (5.63) describes the full-fledged N = 3 super Yang-Mills theory. In fact, as was pointed out in [70], the N = 3 superfield Lagrangian does acquire the literal Chern-Simons form for the properly defined one-form of gauge connection.…”

Section: Classical N = 3 Sym Actionmentioning

confidence: 68%

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The low-energy N = 4 SYM effective action in diverse harmonic superspaces

Buchbinder

Ivanov²,

Samsonov

2017

Phys. Part. Nuclei

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We review various superspace approaches to the description of the low-energy effective action in N = 4 super Yang-Mills (SYM) theory. We consider the four-derivative part of the low-energy effective action in the Coulomb branch. The typical components of this effective action are the gauge field F 4 /X 4 and the scalar field Wess-Zumino terms. We construct N = 4 supersymmetric completions of these terms in the framework of different harmonic superspaces supporting N = 2, 3, 4 supersymmetries. These approaches are complementary to each other in the sense that they make manifest different subgroups of the total SU(4) R-symmetry group. We show that the effective action acquires an extremely simple form in those superspaces which manifest the non-anomalous maximal subgroups of SU(4). The common characteristic feature of our construction is that we restore the superfield effective actions exclusively by employing the N = 4 supersymmetry and/or superconformal P SU(2, 2|4) symmetry.

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Section: Classical N = 3 Sym Actionmentioning

confidence: 68%

“…Recall that the hypermultiplet obeys the off-shell analyticity constraint 70) while the N = 2 gauge superfield strengths W andW are chiral and anti-chiral…”

Section: N = 4 Sym Classical Actionmentioning

confidence: 99%

The low-energy N = 4 SYM effective action in diverse harmonic superspaces

Buchbinder

Ivanov²,

Samsonov

2017

Phys. Part. Nuclei

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“…The N ¼ 3 superspace also manifests the full superconformal symmetry, and using such symmetry arguments, low-energy effective action for N ¼ 3 and N ¼ 4 were considered by Zupnik and collaborators in [5][6][7][8]. A "twistorial" perspective on the N ¼ 3 SYM action was presented in [9] a few years ago, but no concrete progress has yet been made "to bring the quantization scheme into a form suitable for computations" [2].…”

Section: Introductionmentioning

confidence: 99%

Simplifying 4D N=3 harmonic superspace

Jain

Siegel

2020

Phys. Rev. D

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We quantize super Yang-Mills action in N ¼ 3 harmonic superspace using "Fermi-Feynman" gauge and also develop the background field formalism. This leads to simpler propagators and Feynman rules that are useful in performing explicit calculations. The superspace rules are used to show that divergences do not appear at one loop and beyond. We also compute a finite contribution to the effective action from a fourpoint diagram at one loop, which matches the expected covariant result.

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“…We do not have anything to say about cubic harmonic superspace actions[22,23], which also take a Chern-Simons form, cf [24]2.…”

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confidence: 99%