There are no direct permission levels for restricting standard fields by role.
But there is a convoluted way to do this.
Create a custom form and set those field's display type as disabled or inline. Now go to the role and set that form as their default/preferred form for that record type. That means user with role will not be able to change/edit those fields(inline/disabled) since record is loaded in the custom form.
Note that this is convoluted way, and can be problematic for keeping track of permissions.