Elsevier

Nuclear Physics B

Volume 275, Issue 4, 29 December 1986, Pages 580-616
Nuclear Physics B

Two-dimensional conformal invariant theories on a torus

https://doi.org/10.1016/0550-3213(86)90576-6Get rights and content

Abstract

The study of unitary conformal invariant theories on a torus reveals two important properties: the partition function and correlation functions may be expressed in terms of free (gaussian) field modes, and the modular invariance dictates the operator content of the theory: for a generic value of the central charge c = 1−/m(m + 1), there exist at least two distinct models depending whether m = 0,3 mod or m = 1,2 mod 4. The case of non-unitary c < 1 theories is also briefly discussed.

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