Strings and membranes from -theory five brane
arXiv:2410.11197
Abstract
The -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) 5-brane world-volume Lagrangian yield Lagrangians of the -string with O(D,D) T-duality symmetry, the conventional string, the 5-brane with GL(4) duality symmetry, and the non-perturbative M2-brane in supergravity theory. The GL(4) covariant Lagrangian of the 5-brane derived in this manner is a new, perturbatively quantizable theory.
45 pages, minor revision