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On the ODE/IM correspondence for minimal models

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Patrick Dorey1,2, Clare Dunning3, Ferdinando Gliozzi4 and Roberto Tateo4

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Within the framework of the ODE/IM correspondence, we show that the minimal conformal field theories with c < 1 emerge naturally from the monodromy properties of certain families of ordinary differential equations.


PACS

11.25.Hf Conformal field theory, algebraic structures

02.30.Hq Ordinary differential equations

MSC

58K10 Monodromy

81T40 Two-dimensional field theories, conformal field theories, etc.

34M35 Singularities, monodromy, local behavior of solutions, normal forms

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 13 (4 April 2008)

Received 4 January 2008

Published 14 March 2008



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