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Strings and membranes from A-theory five brane

Machiko Hatsuda, Ondřej Hulík, William D. Linch, Warren D. Siegel, Di Wang, Yu-Ping Wang

SciPost Phys. 19, 009 (2025) · published 7 July 2025

Abstract

The 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) A5-brane world-volume Lagrangian yield Lagrangians of the T-string with O(D,D) T-duality symmetry, the conventional string, the M5-brane with GL(4) duality symmetry, and the non-perturbative M2-brane in supergravity theory. The GL(4) covariant Lagrangian of the M5-brane derived in this manner is a new, perturbatively quantizable theory.


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Dualities String theory

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