# Looking for easy materials on Conformal Field Theory for beginners

Question:
I'm a math student in senior year. I want to know about CFT(as the title explained). For related knowledge, I've learned basics about Differential Geometry, Differential manifolds. I want to just "touch", or get a sketch of this field, not to dive in for jargon and details. Are there any books, or papers easy enough for me to understand?

Below is a picture of Blumenhagen and Plauschinn 's Introduction to Conformal Field Theory With Applications to String Theory. The red-underlined equation, for example, is something I can't understand. What is $$\varphi^*$$ ? What is $$g$$ and $$g'$$ ? I'm thinking it may appears in some preliminary materials that I forgot or need to learn.
• $\varphi^*$ is the pullback, and $g$ in a metric on$M$, $g'$ is a metric on $M'$. doubt this notation was introduced before, I think you were supposed to understand it from the context. – user2520938 Oct 27 '18 at 7:41