Nonlinear Self-Duality and Supersymmetry

Abstract

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.

44 pages, latex, no figures

References in corpus (4)

• Supersymmetric Duality Rotations
• On Low-Energy Effective Actions in N = 2, 4 Superconformal Theories in Four Dimensions
• Electric-Magnetic Duality Invariant Lagrangians
• Nonlinear Self-Duality in Even Dimensions

Cited by in corpus (67)

• Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
• Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
• New approach to nonlinear electrodynamics: dualities as symmetries of interaction
• On the component structure of N = 1 supersymmetric nonlinear electrodynamics
• On the Goldstino actions and their symmetries
• N=3 supersymmetric Born-Infeld theory
• Two-loop N=4 Super Yang Mills effective action and interaction between D3-branes
• String Theory Origin of Constrained Multiplets
• Towards the complete N=2 superfield Born-Infeld action with partially broken N=4 supersymmetry
• Covariant procedures for perturbative non-linear deformation of duality-invariant theories
• Dirac-Born-Infeld-Volkov-Akulov and Deformation of Supersymmetry
• Taking a vector supermultiplet apart: Alternative Fayet-Iliopoulos-type terms
• The Fayet-Iliopoulos term and nonlinear self-duality
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• Minimal scalar-less matter-coupled supergravity
• Nonlinear Self-Duality and Supergravity
• Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Covariant actions for models with non-linear twisted self-duality
• Gauge Fields, Nonlinear Realizations, Supersymmetry
• Nilpotent chiral superfield in N=2 supergravity and partial rigid supersymmetry breaking
• N=2 Supersymmetry and U(1)-Duality
• Duality rotations in supersymmetric nonlinear electrodynamics revisited
• One-loop effective action for $\mathcal{N}=4$ SYM theory in the hypermultiplet sector - leading low-energy approximation and beyond
• Manifestly $SL(2,R)$ Duality-Symmetric Forms in ModMax Theory
• Constitutive relations and Schroedinger's formulation of nonlinear electromagnetic theories
• Nonlinear self-duality in N = 2 supergravity
• On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on Non-Abelian Background
• Auxiliary superfields in N=1 supersymmetric self-dual electrodynamics
• Superbranes and Super Born-Infeld Theories as Nonlinear Realizations
• Duality invariant self-interactions of abelian p-forms in arbitrary dimensions
• A superfield constraint for N=2 --> N=0 breaking
• On duality symmetry in perturbative quantum theory
• Manifestly duality-invariant interactions in diverse dimensions
• Higher derivative three-form gauge theories and their supersymmetric extension
• Supersymmetric Euler-Heisenberg effective action: Two-loop results
• Non-compact duality, super-Weyl invariance and effective actions
• Superconformal vector multiplet self-couplings and generalised Fayet-Iliopoulos terms
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• A supersymmetric nonlinear sigma model analogue of the ModMax theory
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
• Duality Rotations and BPS Monopoles with Space and Time Noncommutativity
• Selfduality of non-linear electrodynamics with derivative corrections
• Self-Dual N=2 Born-Infeld Theory Through Auxiliary Superfields
• Supersymmetry constraints on U-duality invariant deformations of $N\ge 5$ Supergravity
• Discretized Yang-Mills and Born-Infeld actions on finite group geometries
• Doubly Self-Dual Actions in Various Dimensions
• Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited: The U(N) Case
• On the road to N=2 supersymmetric Born-Infeld action
• A Note on Duality Symmetry in Nonlinear Gauge Theories
• Two-Field Born-Infeld with Diverse Dualities
• New Approach to Duality-Invariant Nonlinear Electrodynamics
• Ghostbusters in $f(R)$ supergravity
• On Duality Rotations in Light-Like Noncommutative Electromagnetism
• More on DBI action in 4D $\mathcal{N}=1$ supergravity
• Self-duality for $\mathcal{N}$-extended superconformal gauge multiplets
• C-map for Born-Infeld theories
• Self-dual supersymmetric nonlinear sigma models
• Effective actions in supersymmetric gauge theories: heat kernels for non-minimal operators
• Weyl invariance, non-compact duality and conformal higher-derivative sigma models
• N=2 Super-Born-Infeld from Partially Broken N=3 Supersymmetry in d=4
• Nonlinear (chiral) p-form electrodynamics
• Heat kernel approach to the one-loop effective action for nonlinear electrodynamics
• On Current-Squared Flows and ModMax Theories
• Component $d=6$ Born-Infeld theory with $N=(2,0)\to N=(1,0)$ supersymmetry breaking