Some remarks on fundamental physical F-theory

TL;DR

This paper explores the theoretical possibility of a 12-dimensional F-theory, introduces a new supergravity multiplet in (9,3) dimensions, and discusses potential phenomenological compactifications to four-dimensional spacetime.

Contribution

It proposes a novel (9,3) signature F-theory framework and constructs its relation to supergravity, expanding the theoretical landscape of higher-dimensional theories.

Findings

Constructed a (9,3) F-theory using dualities.

Introduced a new supergravity multiplet in (9,3) dimensions.

Suggested potential compactification to (3,1) dimensions.

Abstract

The purpose of this paper is to investigate the possibility of a physical 12-dimensional F-theory. We study the question of geometric interaction terms in the F-theory Lagrangians. We also introduce a new supergravity multiplet in dimension $(9,3)$ which is based on a particle with 3-dimensional timelike worldvolume. A construction of signature $(9,3)$ F-theory is given using dualities analogous to those considered by Hull, and possible matches of F-theory's low energy fields with the $(9,3)$-supergravity field content is given. Finally, preliminary suggestions are made regarding a possible phenomenological compactificaton of F-theory from dimension $(9,3)$ to $(3,1)$.