Supersymmetric duality rotations

Kuzenko, Sergei M.; Theisen, Stefan

doi:10.1088/1126-6708/2000/03/034

Cited by 113 publications

(250 citation statements)

References 34 publications

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“…Satisfied by sourceless Maxwell electrodynamics, this natural duality has inspired analyses and generalizations that have been key to understanding aspects of supersymmetry, symmetry breaking, and string theory, starting with perhaps most famously the Born-Infeld non-linear generalization of electromagnetics [75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92][93]. The emergence of duality invariance in the form of Born-Infeld scattering due to a double-copy interplay between YM and the low-energy limit of abelian Z-theory is remarkable.…”

Section: Jhep06(2017)093mentioning

confidence: 99%

Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string

Carrasco

Mafra

Schlotterer

2017

J. High Energ. Phys.

144

232

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In this paper we derive the tree-level S-matrix of the effective theory of Goldstone bosons known as the non-linear sigma model (NLSM) from string theory. This novel connection relies on a recent realization of tree-level open-superstring S-matrix predictions as a double copy of super-Yang-Mills theory with Z-theory -the collection of putative scalar effective field theories encoding all the α ′ -expansion of the open superstring. Here we identify the color-ordered amplitudes of the NLSM as the low-energy limit of abelian Z-theory. This realization also provides natural higher-derivative corrections to the NLSM amplitudes arising from higher powers of α ′ in the abelian Z-theory amplitudes, and through double copy also to Born-Infeld and Volkov-Akulov theories. The amplitude relations due to Kleiss-Kuijf as well as Bern, Johansson and one of the current authors obeyed by Z-theory amplitudes thereby apply to all α ′ -corrections of the NLSM. As such we naturally obtain a cubic-graph parameterization for the abelian Z-theory predictions whose kinematic numerators obey the duality between color and kinematics to all orders in α ′ .

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Section: Jhep06(2017)093mentioning

confidence: 99%

Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string

Carrasco

Mafra

Schlotterer

2017

J. High Energ. Phys.

144

232

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“…The supersymmetric Born-Infeld action inherits the property of its bosonic counterpart, in that it is self-dual in Superspace [6,7,[13][14][15][16]. It is the aim of this paper to explore the mass generation mechanism induced in these non-linear theories by some additional geometric couplings that are connected to the Stueckelberg mass generation for p-form gauge fields.…”

Section: Introductionmentioning

confidence: 99%

Massive Born-Infeld and other dual pairs

Ferrara

Sagnotti

2015

J. High Energ. Phys.

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Abstract:We consider massive dual pairs of p-forms and (D − p − 1)-forms described by non-linear Lagrangians, where non-linear curvature terms in one theory translate into non-linear mass-like terms in the dual theory. In particular, for D = 2p and p even the two non-linear structures coincide when the non-linear massless theory is self-dual. This state of affairs finds a natural realization in the four-dimensional massive N = 1 supersymmetric Born-Infeld action, which describes either a massive vector multiplet or a massive linear (tensor) multiplet with a Born-Infeld mass-like term. These systems should play a role for the massive gravitino multiplet obtained from a partial super-Higgs in N = 2 Supergravity.

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“…We show that even when allowing for nonlinear field redefinitions, the action of Ref. [21,20] does not satisfy this property. It is therefore not the correct model for partial N = 4 → N = 2 supersymmetry breaking, based on the N = 2 Goldstone-Maxwell multiplet.…”

Section: Introductionmentioning

confidence: 90%

“…4 admits a natural generalization to N = 2 supersymmetry [20], although here much less explicit results have been obtained so far. We will discuss the case of one single Abelian gauge multiplet only, the generalization to an arbitrary number being straightforward.…”

Section: Self-duality and Gauge Field Democracymentioning

confidence: 98%

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Nonlinear self-duality and supersymmetry

Kuzenko¹,

Theisen²

2000

Proceedings of Non-Perturbative Quantum Effects 2000 — PoS(tmr2000)

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We review self-duality of nonlinear electrodynamics and its extension to several Abelian gauge fields coupled to scalars. We then describe self-duality in supersymmetric models, both N = 1 and N = 2. The self-duality equations, which have to be satisfied by the action of any self-dual system, are found and solutions are discussed. One important example is the Born-Infeld action. We explain why the N = 2 supersymmetric actions proposed so far are not the correct world-volume actions for D3 branes in d = 6. * Based on talks given at the XII Workshop 'Beyond the Standard Model'

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Supersymmetric duality rotations

Cited by 113 publications

References 34 publications

Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string

Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string

Massive Born-Infeld and other dual pairs

Nonlinear self-duality and supersymmetry

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