Superb!
I think the concept works really well, and the multiple ways you can approach each puzzle give the game a nice level of depth.
It kept me wondering if it would have been better to have to fight against enemies first since is the most expected thing to do with the swords, and after that give away the main feature of the game which is the warp powers; Just leaving the thought, and that's up to testing.
I think the shword-warping warping mechanic has a lot of potential for a complete and longer game, it reminded me of Portal, but it can also be used for pretty different results. The last fading room was a pretty fun challenge as I kept discovering new ways to make my run more efficient; It was a cool way to end the game, but it also kept me wanting to play more levels of that kind.
Good work!