## Advances in Theoretical and Mathematical Physics

- Adv. Theor. Math. Phys.
- Volume 10, Number 2 (2006), 217-237.

### Some remarks on fundamental physical $F$-theory

#### 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 time-like world volume. 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 are given. Finally, preliminary suggestions are made regarding a possible phenomenological compactification of $F$-theory from dimension (9, 3) to (3, 1).

#### Article information

**Source**

Adv. Theor. Math. Phys., Volume 10, Number 2 (2006), 217-237.

**Dates**

First available in Project Euclid: 30 July 2006

**Permanent link to this document**

https://projecteuclid.org/euclid.atmp/1154236303

**Mathematical Reviews number (MathSciNet)**

MR2249571

**Zentralblatt MATH identifier**

1129.81072

#### Citation

Kriz, Igor. Some remarks on fundamental physical $F$-theory. Adv. Theor. Math. Phys. 10 (2006), no. 2, 217--237. https://projecteuclid.org/euclid.atmp/1154236303