Arguments for 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 $E_6/Spi{n}^c(10)$. 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.

arXiv commentTo appear in early 2006 in Mod. Phys. Lett. A as Brief Review

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Cited by in corpus (8)

• F-theory and the Witten Index
• On Hexagonal Structures in Higher Dimensional Theories
• On Local F-theory Geometries and Intersecting D7-branes
• F-theory Yukawa Couplings and Supersymmetric Quantum Mechanics
• Holonomy Groups Coming From F-Theory Compactification
• Special Holonomy Manifolds in Physics
• Composition algebras and the two faces of $G_2$
• Graded Geometric Structures Underlying F-Theory Related Defect Theories