# How to compute Physical Constants from given Calabi-Yau Compactification of Effective Field Theory of corresponding String Theory?

I got some interest in String Theory when I was listening to lectures of David Tong and Brian Greene. I remember them stating that the spacetime manifold is compactified to resemble our usual 3+1 dimensions, using Calabi Yau Manifolds. But String Theory offers a lot of different possibilities of Calabi - Yau Manifolds one of which may resemble our universe.

And the other point is, if we let the strings(particles) vibrate in a particular manifold, we can essentially compute the physical constant related to it.

So, my question is, can I have resources like reviews, textbooks and any other resources related to this which will help me compute the physical constants from a given Calabi-Yau Manifold?

My Background: I know QFT in the level of Peskin. I know General Topology and Differential Geometry to some extent(I have taken a course in General Relativity, equivalent to Eric Poisson's lectures here)

Addendum: I don't know how to compute constants from a manifold, I also don't know how those manifolds are represented(metric or connections??). I also don't know how much math is required as a prerequisite. I would be glad if you can share me with a roadmap to reach the above state.

• The question might be broad in the sense that there may be different ways to compute different coupling constants and things like that. But I really need most of the resources specific to each if it exists or general if it is the same procedure for all physical constants. Commented Jul 24, 2020 at 2:56
• physics.stackexchange.com/questions/488218/… Also, people with expertise in string theory may help me answering this general question too. Commented Jul 24, 2020 at 3:01

The question is broater. It strongly depends on what exactly you want to compute and from what string theory you want to obtain it.