F-Theory

String Theory
All Roads Lead to String Theory (Polchinski)
Prior to the First Superstring Revolution
Early History	S-Matrix Theory Regge Trajectory
Bosonic String Theory	Worldsheet String Bosonic String Theory String Perturbation Theory Tachyon Condensation
Supersymmetric Revolution	Supersymmetry RNS Formalism GS Formalism BPS
Superstring Revolutions
First Superstring Revolution	GSO Projection Type II String Theory Type IIB String Theory Type IIA String Theory Type I String Theory Type H String Theory Type HO String Theory Type HE String Theory
Second Superstring Revolution	T-Duality D-Brane S-Duality Horava-Witten String Theory M-Theory Holographic Principle N=4 Super-Yang-Mills Theory AdS CFT BFSS Matrix Theory Matrix String Theory (2,0) Theory Twistor String Theory F-Theory String Field Theory Pure Spinor Formalism
After the Revolutions
Phenomenology	String Theory Landscape Minimal Supersymmetric Standard Model String Phenomenology

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F-Theory is a formalism for the construction of Type IIB String Theory as a 12-dimensional theory. Type IIB String Theory has an $SL\left(2,\mathbb{Z}\right)$ symmetry, which can be naturally realised if it is equivalent by an $T^2$ (torus) compactification, which is an exact equivalence through T-Duals, to a 12-dimensional theory. This 12-dimensional theory is F-Theory. F-Theory is a popular area of study in String Phenomenolgy.