How can you define a static data member of type const std::string?

I'd like to have a private static constant for a class (in this case a shape-factory).

I'd like to have something of the sort.

class A {
   private:
      static const string RECTANGLE = "rectangle";
}

Unfortunately I get all sorts of error from the C++ (g++) compiler, such as:

ISO C++ forbids initialization of member ‘RECTANGLE’

invalid in-class initialization of static data member of non-integral type ‘std::string’

error: making ‘RECTANGLE’ static

This tells me that this sort of member design is not compliant with the standard. How do you have a private literal constant (or perhaps public) without having to use a #define directive (I want to avoid the uglyness of data globality!)