In my readings I came across some solutions of classical supergravity theories that are hard to understand. I am hoping some of you can give me either an explanation or a source to read. Consider a classical complex scalar field phi. Its complex conjugate is phi*. But some solutions I found imply that phi and phi* are complex conjugates of each other only at radial infinity, but not when you get too close to the origin (a brane is at the origin). What is the physical meaning of this? Isn't reality of the fields lost?