Question

Quick tensor question, what does this mean:

Answer 1

What does this mean? \[\LARGE \delta^{ijk}_{rst}\] @ivancsc1996

Answer 2

It seems silly to say it's like a super kronecker delta which is 1 when all i,j,k,r,s,and t are all the same value, but I couldn't seem to find out where it was defined

Answer 3

Im sorry give me a second

Answer 4

There is a cool formula in page 137 of Pavel's book that treats the delta system as the determinant of the kronecker deltas. I don 't know how to write determinants in this page.

Answer 5

Does it help?

Answer 6

Take your time, it's pretty minor and just curious the past few days and saw you log in though I'd ask, but it's not very important. I have the kindle version of the book so it's pretty hard to just "flip" through pages and refer to stuff. Also I just finished chapter 8, so I'm starting to get into the good stuff, I understand the idea behind the covariant and invariant derivatives along with the christoffel symbol which is fun lol. Starting up the section with the levi-civitta symbol it looks like, after a nice long break lol

Answer 7

Ohhh what chapter is that in? I don't have page numbers, it's weird having an ebook lol

Answer 8

Chapter 9.4 called the delta system

Answer 9

Ohh, by the way the question comes from chapter 8, Exercise 140. I guess I'll get there soon enough, thanks, it feels like he tends to skip around a lot in the book, so it's sort of confusing at times. I think a couple times he's done something like this where he used something he hasn't told me about in the book.

Answer 10

Yeah, just skip that and the next question and you should be fine