I cut my skin bad with a razor? Will I die?? Please help?

I accidentally held the razor wrong and it went side ways down my skin and shaved it and cut it..it didn't bleed much..it more gave it like a carpet burn like feel and look...it is really long line and it is very red 6hrs later still and hurts awful when touched or if my shirt hits it..it feels like it is burning like a carpet burn..I let it breathe for a bit and used antibiotic cream a lot..every time I put it on though it burns awful..antibiotic cream shouldn't burn when applied but when I do with this it hurts so so bad. I covered it up and it hurts and is red..will I die? It didn't bleed..whys it hurt so bad? Will I die? I'm 19