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$D=6$, $\mathcal{N}=(2,0)$ and $\mathcal{N}=(4,0)$ theories

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arxiv 1708.02573 v3 pith:473GWIJF submitted 2017-08-08 hep-th gr-qc

classification hep-thgr-qc
keywords mathcalgaugetheorygravitytheoriesabelianchiralconformal
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abstract

Using a convolutive field theoretic product, it is shown here that the "square" of an Abelian $D=6$, $\mathcal{N}=(2,0)$ theory yields the free $D=6$, $\mathcal{N}=(4,0)$ theory constructed by Hull, together with its generalised (super)gauge transformations. This offers a new perspective on the $(4, 0)$ theory and chiral theories of conformal gravity more generally, while at the same time extending the domain of the "gravity = gauge $\times$ gauge" paradigm.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Covariant quantization of totally antisymmetric tensor-spinor field in $AdS_d$

    hep-th 2025-09 conditional novelty 7.0 of 10

    The BV quantization of the reducible fermionic p-form gauge theory in AdS_d gives Z(p) as a product over functional determinants of Dirac-like operators with degree-dependent masses.

  2. Duality Anomalies in Linearized Gravity

    hep-th 2025-04 conditional novelty 7.0 of 10

    Under the proposed instanton prescription, the linearized gravity partition function and its dual differ by a factor (κ/κ̃)^(1/2 χ(M;T*M)), so the theories are quantum inequivalent in even dimensions.

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