Pure spinor superspace action for D = 6, N = 1 super-Yang-Mills theory

Cederwall, Martin

doi:10.1007/jhep05(2018)115

Cited by 12 publications

(4 citation statements)

References 27 publications

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“…ref. [56]), the new ambi-twistor strings of [57], the construction of superconformal theories with a second, nonlinearly realized supersymmetry [40], superspaces with boundaries [58], and the comparison to interesting recent lower-dimensional results (e.g. ref.…”

Section: Applicationsmentioning

confidence: 99%

Superforms in six-dimensional superspace

Arias

Linch

Ridgway

2016

J. High Energ. Phys.

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Abstract:We investigate the complex of differential forms in curved, six-dimensional, N = (1, 0) superspace. The superconformal group acts on this complex by super-Weyl transformations. An ambi-twistor-like representation of a second conformal group arises on a pure spinor subspace of the cotangent space. The p-forms are defined by super-Weylcovariant tensor fields on this pure spinor subspace. The on-shell dynamics of such fields is superconformal. We construct the superspace de Rham complex by successively obstructing the closure of forms. We then extend the analysis to composite forms obtained by wedging together forms of lower degree. Finally, we comment on applications to integration in curved superspace and propose a superspace formulation of the abelian limit of the nonabelian tensor hierarchy of N = (1, 0) superconformal models.

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Section: Applicationsmentioning

confidence: 99%

Superforms in six-dimensional superspace

Arias

Linch

Ridgway

2016

J. High Energ. Phys.

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“…Color-kinematics duality followed directly from the second order nature of the b-ghost, without kinematic structure constants appearing in the action, so it would be interesting to find other theories with a similar action and propagator-numerator. Since it has been observed that the colorkinematics duality has connections to supersymmetry [62], exploring pure spinor type formulations of theories in lower dimensions [5,63,64] seems promising. Perhaps in lower dimensions numerators would be more tractable for direct computations.…”

Section: Jhep12(2021)014mentioning

confidence: 99%

10D super-Yang-Mills scattering amplitudes from its pure spinor action

Ben-Shahar

Guillen

2021

J. High Energ. Phys.

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Using the pure spinor master action for 10D super-Yang-Mills in the gauge b0V = QΞ, tree-level scattering amplitudes are calculated through the perturbiner method, and shown to match those obtained from pure spinor CFT techniques. We find kinematic numerators made of nested b-ghost operators, and show that the Siegel gauge condition b0V = 0 gives rise to color-kinematics duality satisfying numerators whose Jacobi identity follows from the Jacobi identity of a kinematic algebra.

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“…The maximally supersymmetric Yang-Mills theories can be constructed in a manifestly supersymmetric way in the pure spinor superfield formalism[35,36]. However, the quantum aspects of this formulation have not been worked out for the time being, and for this reason we do not discuss it here.…”

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confidence: 99%

Harmonic Superspace Approach to the Effective Action in Six-Dimensional Supersymmetric Gauge Theories

Buchbinder

Ivanov²,

Мерзликин

et al. 2019

Symmetry

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We review the recent progress in studying the quantum structure of 6D, N = (1, 0) and N = (1, 1) supersymmetric gauge theories formulated through unconstrained harmonic superfields. The harmonic superfield approach allows one to carry out the quantization and calculations of the quantum corrections in a manifestly N = (1, 0) 1 way. The quantum effective action is constructed with the help of the background field method that secures the manifest gauge invariance of the results. Although the theories under consideration are not renormalizable, the extended supersymmetry essentially improves the ultraviolet behavior of the lowest-order loops. The N = (1, 1) supersymmetric Yang-Mills theory turns out to be finite in the one-loop approximation in the minimal gauge. Also some two-loop divergences are shown to be absent in this theory. Analysis of the divergences is performed both in terms of harmonic supergraphs and by the manifestly gauge covariant superfield proper-time method. The finite one-loop leading low-energy effective action is calculated and analyzed. Also in the abelian case we discuss the gauge dependence of the quantum corrections and present its precise form for the one-loop divergent part of the effective action.

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Pure spinor superspace action for D = 6, N = 1 super-Yang-Mills theory

Cited by 12 publications

References 27 publications

Superforms in six-dimensional superspace

Superforms in six-dimensional superspace

10D super-Yang-Mills scattering amplitudes from its pure spinor action

Harmonic Superspace Approach to the Effective Action in Six-Dimensional Supersymmetric Gauge Theories

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