Physics: Problems and Solutions

Proof of F-Theory being equivalent to a Toroidal Compactification of M-Theory

150pages on
this wiki
Add New Page
Talk0 Share
This question is taken from this Physics Stack Exchange question by "Trung Phan" with it's answer given by "Lubos Motl".


Prove that F=MA_{\left(T^2\to0\right)} where "F" and "M" are F-Theory and M-Theory.

How does one solve this? It doesn't make much sense to me. F-Theory is obviously a 12-dimensional theory, whereas M-Theory is 11-dimensional, and when compactified on a torus, 9-dimensional. So, how can a 12-dimensional theory be equal to a 9-dimensional theory? This doesn't make sense to me.



Answer 1Edit

The keyword here is T-Duality. When M-Theory is compactified on a torus, that's like compactifying it on 2 circles. When you compactify M-Theory once on a circle, you get Type IIA String Theory. If you compactify it, again on a circle, by w:c:psiepsilon:T-Duality, this is Type IIB String Theory.

By the definition of F-Theory, the conclusion follows trivially.


Ad blocker interference detected!

Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.