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Higher-genus characters for the level-two SU(2) WZW model and GKO coset construction
Phys. Rev. D 41, 1908 – Published 15 March, 1990
DOI: https://doi.org/10.1103/PhysRevD.41.1908
Abstract
We obtain the characters for the level-two SU(2) Wess-Zumino-Witten model on the higher-genus Riemann surfaces from the Goddard-Kent-Olive coset construction using the characters for the Ising model. The two-point correlators are constructed by pinching the nonzero-homology cycle and it is easy to obtain the n-point correlators by repeating the pinching limits.
References (11)
- J. H. Choi and J. K. Kim, Phys. Rev. D 41, 484 (1990).
- P. Di Vecchia, Report No. NORDITA-89/30 P (unpublished), and see references therein.
- D. Bernard, Nucl. Phys. B303, 77 (1988); ibid. B309, 145 (1988).
- P. Goddard, A. Kent and D. Olive, Commun. Math. Phys. 103, 105 (1986).
- J. H. Choi and I. G. Koh, Phys. Rev. D 39, 3163 (1989).
- V. G. Kac, Infinite Dimensional Lie Algebras (Birkhauser, Boston, 1983); V. G. Kac and D. H. Peterson, Adv. Math. 53, 125 (1984).
- This was conjectured in I. G. Koh and M. Yu, Phys. Lett. B 203, 263 (1988).
- D. Friedan and S. Shenker, Nucl. Phys. B281, 509 (1987).
- J. D. Fay, Theta Functions on Riemann Surfaces (Springer, Berlin, 1970).
- S. D. Mathur, S. Mukhi and A. Sen, Nucl. Phys. B305, 219 (1988).
- D. Mumford, Tata Lectures on Theta (Birkhauser, Boston, 1983).