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

TL;DR

This paper develops a unified framework for strings and membranes from $ ext{A}$-theory five brane, revealing new connections between various duality symmetries and deriving a novel, quantizable $ ext{M}$5-brane Lagrangian.

Contribution

It introduces a new approach to derive string and membrane theories from the $ ext{A}$-theory five brane, unifying dualities and producing a novel $ ext{M}$5-brane Lagrangian.

Findings

Derived Lagrangians of ${ m T}$-string, $ ext{M}$5-brane, and M2-brane from $ ext{A}$-theory five brane.

Demonstrated consistent sectionings yield known duality symmetric theories.

Presented a new perturbatively quantizable $ ext{M}$5-brane Lagrangian.

Abstract

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.