Nonlinear Self-Duality and Supersymmetry

Kuzenko, Sergei M.; Theisen, Stefan

doi:10.1002/1521-3978(200102)49:1/3<273::aid-prop273>3.0.co;2-0

Cited by 97 publications

(326 citation statements)

References 43 publications

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“…As discussed in [6,14,15], the superspace Born-Infeld action enjoys a self-duality, which is the direct counterpart of what we have seen in components in eq. (3.7) and translates into the condition [14,15] …”

Section: Jhep04(2015)032supporting

confidence: 53%

“…This property of self-reproduction reflects, in fact, the invariance of the four-dimensional massless Maxwell system, or of generalizations thereof as the Born-Infeld system, under duality rotations, which translates into the condition [14,15,20,21] …”

Section: Jhep04(2015)032mentioning

confidence: 98%

“…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%

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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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Section: Jhep04(2015)032supporting

confidence: 53%

Section: Jhep04(2015)032mentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Massive Born-Infeld and other dual pairs

Ferrara

Sagnotti

2015

J. High Energ. Phys.

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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.

140

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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“…This action has been interpreted as the world-volume dynamics of a D3-brane propagating in six dimensions [17]. The properties required for such model have been studied in [10]. It is important to remark that our derivation is in both cases off-shell.…”

Section: Introductionmentioning

confidence: 99%

N=2 Super-Born-Infeld from Partially BrokenN=3 Supersymmetry ind=4

Castro¹,

Quevedo²,

Restuccia³

2004

J. High Energy Phys.

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We employ the non-linear realization techniques to relate the N = 1 chiral, and the N = 2 vector multiplets to the Goldstone spin 1/2 superfield arising from partial supersymmetry breaking of N = 2 and N = 3 respectively. In both cases, we obtain a family of non-linear transformation laws realizing an extra supersymmetry. In the N = 2 case, we find an invariant action which is the low energy limit of the supersymmetric Born-Infeld theory expected to describe a D3-brane in six dimensions.

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Nonlinear Self-Duality and Supersymmetry

Cited by 97 publications

References 43 publications

Massive Born-Infeld and other dual pairs

Massive Born-Infeld and other dual pairs

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

N=2 Super-Born-Infeld from Partially BrokenN=3 Supersymmetry ind=4

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