The advantages of object and array literals over using the respective constructors are:
- Shorter and more readable
- Safer: literals will still work when the
Array or Object constructors have been overridden
- Possibly faster, though it's unlikely to be a major consideration (any bottlenecks will almost certainly originate elsewhere in code)
In the case of arrays, there's an additional advantage of a literal: it's impossible to create an array with a single member using the Array constructor alone. For example, [3] will create an array with one element which is the number 3, while new Array(3) creates an array of length 3.
Update: the following paragraph is no longer relevant now the question has been edited.
Regarding Booleans, you seem to have a misconception: new Boolean(false) is not the same as false. The Boolean() constructor creates a Boolean object whereas false and true are Boolean primitives. In fact, new Boolean(false) evaluates to true when coerced into a Boolean in, for example, an if statement. In short, there's very rarely a reason to use the Boolean() constructor. Use true and false instead. Similarly, other primitives such as strings and numbers have corresponding String() and Number() constructors that produce String and Number objects that are different to primitive strings and numbers and should generally be avoided.