# State operator correpondence and $S^1 \times S^1$ to $R^2$

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I want to know the "state operator correspondence" in detail.

What i want to know is the correspondence of SS1 to R2 How the states and the operator match to each other?

I know that for SS1 via radial quantization one circle plays a role for time, which produce the states.

And for R2, we have operators.

But i don't know how these two (states in SS1 and operators in R2) match each other. Can you explain this in detail? (Recommendation of any references will be helpful to me!)

This post is imported from Physics StackExchange at 2016-06-02 04:57 (UTC) posted by SE User phy_math, SE users associated with first three comments below are ACuriousMind, phy_math and ACuriousMind respectively.

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