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Correlators in W_N minimal model revisited

Chi-Ming Chang Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, U.S.A. Xi Yin Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, U.S.A.

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2206.74031

Journal of High Energy Physics, 10, (50), 2012.10
In this paper, we study a class of sphere and torus correlation functions in the W_N minimal model. In particular, we show that a large class of exact sphere three-point functions of W_N primaries, derived using affine Toda theory, exhibit large N factorization. This allows us to identify some fundamental particles and their bound states in the holographic dual, including light states. We also derive the torus two-point function of basic primaries, by directly constructing the relevant conformal blocks. The result can then be analytically continued to give the Lorentzian thermal two-point functions.
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@inproceedings{chi-ming2012correlators,
  title={Correlators in W_N minimal model revisited},
  author={Chi-Ming Chang, and Xi Yin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220629153656778034494},
  booktitle={Journal of High Energy Physics},
  volume={10},
  number={50},
  year={2012},
}
Chi-Ming Chang, and Xi Yin. Correlators in W_N minimal model revisited. 2012. Vol. 10. In Journal of High Energy Physics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220629153656778034494.
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