M theory dimension change and large N_c, are they related?

[arivero]

Reading old text about the limit of large N_c, there are some remarks telling that for finite N we have a colour tube and that it becomes a string in the limit. It sounds as the extra dimension of M-Theory, and I wonder if the math of both calculations are related somehow. Is the transition to d=10 something similar to a large number of colours limit?

 

[MathematicalPhysicist]

Usually we reveal our sources (i.e. citation) even though there's the saying:"the secret to creativity is to know how to hide your sources"... ;-)

 

[mitchell porter]

In terms of AdS/CFT, one has N (as in SU(N)) and g (gauge coupling) to work with. In string theory, the eleventh dimension emerges when string coupling is large, and string coupling is proportional to g^2. So at first glance there is no relationship, though in practice there are limits defined by behavior of N and g, so there may be an interplay.

 

[arivero]

Usually we reveal our sources (i.e. citation) even though there's the saying:"the secret to creativity is to know how to hide your sources"... ;-)

I think I got the idea from

Quark confinement in the infinite-momentum frame
Charles Thorn
Phys. Rev. D 19, 639 – Published 15 January 1979