Should be
private ArrayList<String[]> action = new ArrayList<String[]>();
action.add(new String[2]);
...
You can’t specify the size of the array within the generic parameter, only add arrays of specific size to the list later. This also means that the compiler can’t guarantee that all sub-arrays be of the same size, it must be ensured by you.
A better solution might be to encapsulate this within a class, where you can ensure the uniform size of the arrays as a type invariant.