F-theory
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| String theory |
|---|
 |
| Fundamental objects |
| Perturbative theory |
| Non-perturbative results |
| Phenomenology |
| Mathematics |
In
vacua described by F-theory were discovered by Vafa and allowed string theorists to construct new realistic vacua — in the form of F-theory compactified on elliptically fibered Calabi–Yau four-folds. The letter "F" supposedly stands for "Father".[2]
Compactifications
F-theory is formally a 12-dimensional theory, but the only way to obtain an acceptable background is to
SL(2,Z) S-duality symmetry of the resulting type IIB string theory is manifest because it arises as the group of large diffeomorphisms of the two-dimensional torus
.
More generally, one can compactify F-theory on an elliptically fibered
heterotic string
theory on a two-torus. Also, the moduli spaces of those theories should be isomorphic.
The large number of semirealistic solutions to string theory referred to as the string theory landscape, with elements or so, is dominated by F-theory compactifications on
Calabi–Yau four-folds.[3]
There are about of those solutions consistent with the Standard Model of particle physics.[4]
Phenomenology
New models of Grand Unified Theory have recently been developed using F-theory.[5]
Extra time dimension
F-theory has the metric signature (10,2), which means that it includes a second time dimension.[6]
See also
References
- S2CID 6511691.
- ^ Michio Kaku: The Universe Is a Symphony of Vibrating Strings – YouTube
- S2CID 41149049.
- ^ [1903.00009] A Quadrillion Standard Models from F-theory
- .
- ^ Penrose, Roger. (2004). The Road to Reality. Jonathan Cape. Page 915. (Penrose cites Vafa. (1996) and also Bars, I. (2000). "Survey of Two-Time Physics". https://arxiv.org/abs/hep-th/0008164 )
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