Create New Line While in Insert Mode
Escape to Normal Mode
There are probably a number of ways to do what you want, but one option is to use CTRL-O to escape to normal mode to insert the line. For example CTRL-O o will open a new line below the current line and place your cursor there in insert mode.
If you want to map this rather than use it as a one-off, you can use an imap to set your mnemonic of choice. For example:
:imap \nn <C-O>o
will create an insert-mode mapping for \nn that will do the same thing.
<ESC> o
- To open a line below
<ESc> Shift + o
- To open a line above.