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Differential Equations in Moduli Space

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Quantum Mechanics of Fundamental Systems 2

Abstract

It is well known that conformal field theories are governed by their tight algebraic structures. Central charge of a conformal theory and dimension of its fields are dictated by the representation theory of Virasoro algebra [1, 2]. Furthermore, irreducibility of a representation, decoupling of null states, leads to differential equations for correlation functions [1]. These equations have been used to determine operator-product expansion coefficients [3, 4].

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References

  1. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, Nocl. Phys. B 241, 333 (1984).

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© 1989 Plenum Press, New York

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Eguchi, T., Ooguri, H. (1989). Differential Equations in Moduli Space. In: Teitelboim, C., Zanelli, J. (eds) Quantum Mechanics of Fundamental Systems 2. Series of the Centro de Estudios Científicos de Santiago. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0797-6_7

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  • DOI: https://doi.org/10.1007/978-1-4613-0797-6_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8087-3

  • Online ISBN: 978-1-4613-0797-6

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