Arguments for F-theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1142/S0217732306019335

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.

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