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Strings and membranes from mathcal{A}-theory five brane

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arxiv 2410.11197 v7 pith:O4MCPXYO submitted 2024-10-15 hep-th

Strings and membranes from mathcal{A}-theory five brane

Machiko Hatsuda , Ond\v{r}ej Hul\'ik , William D. Linch , Warren D. Siegel , Di Wang , Yu-Ping Wang This is my paper
classification hep-th
keywords symmetrybranemathcaltheoryu-dualityworld-volumefieldslagrangian
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The $\mathcal{A}$-theory takes U-duality symmetry as a guiding principle, with the SL(5) U-duality symmetry being described as the world-volume theory of a 5-brane. Furthermore, by unifying the 6-dimensional world-volume Lorentz symmetry with the SL(5) spacetime symmetry, it extends to SL(6) U-duality symmetry. The SL(5) spacetime vielbein fields and the 5-brane world-volume vielbein fields are mixed under the SL(6) U-duality transformation. We demonstrate that consistent sectionings of the SL(6) $\mathcal{A}$5-brane world-volume Lagrangian yield Lagrangians of the ${\cal T}$-string with O(D,D) T-duality symmetry, the conventional string, the $\mathcal{M}$5-brane with GL(4) duality symmetry, and the non-perturbative M2-brane in supergravity theory. The GL(4) covariant Lagrangian of the $\mathcal{M}$5-brane derived in this manner is a new, perturbatively quantizable theory.

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Cited by 2 Pith papers

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  1. Gauss law constraint in A-theory branes

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    In D=3 and D=4 A-theory, all consistent solutions of the Gauss-law dimensional-reduction condition are strings, and the brane Virasoro algebra reduces to the ordinary string Virasoro algebra.

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    hep-th 2025-12 conditional novelty 5.0

    Tensionless p-branes and branes in degenerate-metric spacetimes admit symmetry transformations built from Killing tensors of arbitrary rank, extending string W-symmetries to all brane dimensions.