Nonlinear Self-Duality and Supergravity

Abstract

The concept of self-dual supersymmetric nonlinear electrodynamics is generalized to a curved superspace of N = 1 supergravity, for both the old minimal and the new minimal versions of N = 1 supergravity. We derive the self-duality equation, which has to be satisfied by the action functional of any U(1) duality invariant model of a massless vector multiplet, and construct a family of self-dual nonlinear models. This family includes a curved superspace extension of the N = 1 super Born-Infeld action. The supercurrent and supertrace in such models are proved to be duality invariant. The most interesting and unexpected result is that the requirement of nonlinear self-duality yields nontrivial couplings of the vector multiplet to Kahler sigma models. We explicitly derive the couplings to general Kahler sigma models in the case when the matter chiral multiplets are inert under the duality rotations, and more specifically to the dilaton-axion chiral multiplet when the group of duality rotations is enhanced to SL(2,R).

15 pages, latex. V2: proof of the duality invariance of the supercurrent completed, a reference added, typos corrected; V3: typos in eqs. (2.24) and (2.39) corrected

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• Phase space path integral in curved space

Cited by in corpus (26)

• On the component structure of N = 1 supersymmetric nonlinear electrodynamics
• Born-Infeld type Gravity
• Covariant procedures for perturbative non-linear deformation of duality-invariant theories
• The Fayet-Iliopoulos term and nonlinear self-duality
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• Duality-invariant (super)conformal higher-spin models
• 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
• Nilpotent chiral superfield in N=2 supergravity and partial rigid supersymmetry breaking
• Duality rotations in supersymmetric nonlinear electrodynamics revisited
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Ghostbusters in higher derivative supersymmetric theories: who is afraid of propagating auxiliary fields?
• Nonlinear self-duality in N = 2 supergravity
• New nilpotent $\mathcal{N}=2$ superfields
• Higher derivative three-form gauge theories and their supersymmetric extension
• Non-compact duality, super-Weyl invariance and effective actions
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• Massive vector multiplet inflation with Dirac-Born-Infeld type action
• Matter coupled Dirac-Born-Infeld action in 4-dimensional N=1 conformal supergravity
• Minimal Starobinsky supergravity coupled to dilaton-axion superfield
• DBI action of real linear superfield in 4D $\mathcal{N}=1$ conformal supergravity
• Ghostbusters in $f(R)$ supergravity
• More on DBI action in 4D $\mathcal{N}=1$ supergravity
• Self-dual supersymmetric nonlinear sigma models
• On Current-Squared Flows and ModMax Theories