I began to read the book 'Vertex Algebras for Beginners' written by V. Kac for the reading course. Even though the title says that this book is for beginners, the first chapter of this book starts with 'Wightman axioms of a QFT(quantum field theory) ' which I have never studied. It may not be a book for true beginners.
Anyway, I just skipped those parts about QFT. After that, I met some 'super' things like superspace and super Lie algebra which I am not familiar with also. So I complained to the Prof. B that "I am not familiar with those super things" and he answered "Ignore it!". What a word of wisdom!
Since I didn't know anything from the beginning of a book for beginners, he gave me some advice for reading.
Vertex algebras are not generalization of Lie algebras but that of commutative rings. For example, locality is just commutativity. When you study vertex algebras, find something analogous in commutative ring theory.
Thus have I heard.