N=2 Supersymmetry and U(1)-Duality

Abstract

Understanding the consequences of the E_{7(7)} duality on the UV properties of N=8 supergravity requires unravelling when and how duality-covariant actions can be constructed so as to accommodate duality-invariant counter-terms. For non-supersymmetric abelian gauge theories exhibiting U(1)-duality, with and without derivative couplings, it was shown that such a covariant construction is always possible. In this paper we describe a similar procedure for the construction of covariant non-linear deformations of U(1)-duality invariant theories in the presence of rigid N=2 supersymmetry. This is a concrete step towards studying the interplay of duality and extended supersymmetry.

20 pages

References in corpus (10)

• Three-Loop Superfiniteness of N=8 Supergravity
• Duality and Dilaton
• Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
• Generating Tree Amplitudes in N=4 SYM and N=8 SG
• E7(7) constraints on counterterms in N=8 supergravity
• Stringy KLT relations, global symmetries, and E_7(7) violation
• Covariant procedures for perturbative non-linear deformation of duality-invariant theories
• N=8 Counterterms and E7(7) Current Conservation
• The footprint of E7 in amplitudes of N=8 supergravity
• Born-Infeld with Higher Derivatives

Cited by in corpus (22)

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• Covariant actions for models with non-linear twisted self-duality
• Superconformal duality-invariant models and $\mathcal{N}=4$ SYM effective action
• Interactions of N Goldstini in Superspace
• New E77 invariants and amplitudes
• Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity
• Nonlinear self-duality in N = 2 supergravity
• Generalized Born--Infeld Actions and Projective Cubic Curves
• A superfield constraint for N=2 --> N=0 breaking
• Manifestly duality-invariant interactions in diverse dimensions
• Massive Born--Infeld and Other Dual Pairs
• On Absence of 3-loop Divergence in N=4 Supergravity
• Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
• Self-Dual N=2 Born-Infeld Theory Through Auxiliary Superfields
• Supersymmetry constraints on U-duality invariant deformations of $N\ge 5$ Supergravity
• Two-Field Born-Infeld with Diverse Dualities
• Self-duality for $\mathcal{N}$-extended superconformal gauge multiplets
• Self-dual supersymmetric nonlinear sigma models
• Dual formulation of covariant nonlinear duality-symmetric action of kappa-symmetric D3-brane
• Majorana Fermions, Supersymmetry Breaking, and Born-Infeld Theory