- #1
"pi"mp
- 129
- 1
Hi,
So in an informal sense, we hear about string theory requiring small, curled up dimensions locally at every point of spacetime. In my very, very limited knowledge of geometry, I would like to think of this as a fibre bundle structure over each point of Minkowski space. However, analogous to gauge theories, don't we need to specify the bundle connection [itex] A_{\mu}(x) [/itex]? I'm not sure if that's the right terminology, but I'm trying to refer to the difference between cylinder vs. Mobius band as line bundles, for example.
So what is the physical significance of this bundle connection, if any? Thanks!
So in an informal sense, we hear about string theory requiring small, curled up dimensions locally at every point of spacetime. In my very, very limited knowledge of geometry, I would like to think of this as a fibre bundle structure over each point of Minkowski space. However, analogous to gauge theories, don't we need to specify the bundle connection [itex] A_{\mu}(x) [/itex]? I'm not sure if that's the right terminology, but I'm trying to refer to the difference between cylinder vs. Mobius band as line bundles, for example.
So what is the physical significance of this bundle connection, if any? Thanks!