F-theory with Worldvolume Sectioning

TL;DR

This paper develops a worldvolume formulation for a lower-dimensional F-theory that unifies aspects of M-theory and type II superstring theories, introducing new section conditions and a double dimensional reduction approach.

Contribution

It presents a novel worldvolume theory for F-theory with explicit Lagrangian and Hamiltonian formulations, including three types of section conditions and a reduction mechanism.

Findings

Identifies three types of section conditions: in spacetime, on the worldvolume, and linking them.

Derives the 5-brane theory via double dimensional reduction.

Provides a complexified framework embedding 5D M-theory and 4D type II superstring.

Abstract

We describe the worldvolume for the bosonic sector of the lower-dimensional F-theory that embeds 5D, N=1 M-theory and the 4D type II superstring. This theory is a complexification of the fundamental 5-brane theory that embeds the 4D, N=1 M-theory of the 3D type II string in a sense that we make explicit at the level of the Lagrangian and Hamiltonian formulations. We find three types of section condition: in spacetime, on the worldvolume, and one tying them together. The 5-brane theory is recovered from the new theory by a double dimensional reduction.