Here is the code without an infinite loop:

```python
a = 1
while a == 1:
  b = input("what's your name ?")
  a = 0
print("Hi ",b, " this is infinity loop !")
```

You may have wanted the loop to print the fourth line within the loop. The code for that is given below:
```python
a = 1
while a == 1:
  b = input("what's your name ?")
  print("Hi ",b, " this is infinity loop !")
```
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