Arguments for F-theory

TL;DR

This paper discusses the concept of F-theory, proposing an extension of spacetime and introducing new particle structures, while acknowledging its provisional status and the need for further development.

Contribution

It presents arguments for F-theory with an enlarged spacetime signature and introduces a supersymmetric 27-plet of particles linked to exceptional geometry.

Findings

Proposes enlarging spacetime to (2,10) signature for F-theory.

Introduces a supersymmetric 27-plet of particles.

Highlights the provisional nature and future directions of F-theory.

Abstract

After a brief review of string and $M$-Theory we point out some deficiencies. Partly to cure them, we present several arguments for ``$F$-Theory'', enlarging spacetime to $(2, 10)$ signature, following the original suggestion of C. Vafa. We introduce a suggestive Supersymmetric 27-plet of particles, associated to the exceptional symmetric hermitian space $E_{6}/Spin^{c}(10)$. Several possible future directions, including using projective rather than metric geometry, are mentioned. We should emphasize that $F$-Theory is yet just a very provisional attempt, lacking clear dynamical principles.