Array in an array - how to assign to individual array?

I have 2 arrays.

a=["array1", "array2"] that stores the names of arrays as a string and

b=[["1","2"],["3","4"]] that has the values for each of these arrays.

I want to access individual arrays specifically and the contents of a
and b keep changing. So, I have to store it in a different array.
I want to create 2 new arrays array1 and array2 with values from b. Like
this.

array1= ["1","2"]
array2= ["3","4"]

Can you please suggest some ideas?

-Champak

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