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Nonlinear Self-Duality in Even Dimensions

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arxiv hep-th/9909021 v4 pith:ARWNV3O4 submitted 1999-09-05 hep-th

Nonlinear Self-Duality in Even Dimensions

Paolo Aschieri , Daniel Brace , Bogdan Morariu , Bruno Zumino This is my paper
classification hep-th
keywords dualityfieldsgroupcomplexdimensionsevenrealtheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the Born-Infeld theory with n complex abelian gauge fields written in an auxiliary field formulation has a U(n,n) duality group. We conjecture the form of the Lagrangian obtained by eliminating the auxiliary fields and then introduce a new reality structure leading to a Born-Infeld theory with n real fields and an Sp(2n,R) duality symmetry. The real and complex constructions are extended to arbitrary even dimensions. The maximal noncompact duality group is U(n,n) for complex fields. For real fields the duality group is Sp(2n,R) if half of the dimension of space-time is even and O(n,n) if it is odd. We also discuss duality under the maximal compact subgroup, which is the self-duality group of the theory obtained by fixing the expectation value of a scalar field. Supersymmetric versions of self-dual theories in four dimensions are also discussed.

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Cited by 2 Pith papers

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  1. Nonlinear self-duality for arbitrary spin, superspin, and supersymmetry type

    hep-th 2026-02 conditional novelty 4.0

    Every U(1) duality-invariant (super)conformal gauge theory of arbitrary (super)spin obeys a universal self-duality equation, is Legendre self-dual, and (for spin > 1) lives only on conformally flat backgrounds.

  2. On nonlinear self-duality in $4p$ dimensions

    hep-th 2026-01 conditional novelty 4.0

    Every 4D self-dual nonlinear electrodynamics model extends, via the same L(S,P) ansatz and equation, to U(1) duality-invariant (2p−1)-form theories in 4p dimensions (already in [19]); new here are a ModMax-type deform...