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From quantum monodromy to duality

Gómez, César
López, Esperanza
Published in Physics letters. B. 1995, vol. 357, no. 4, p. 558-565
Abstract For N = 2 SUSY theories with non-vanishing β-function and a one-dimensional quantum modulus, we study the representation on the special coordinates of the group of motions on the quantum moduli defined by , with Γm the quantum monodromy group. Γw contains both the global symmetries and the strong-weak coupling duality. The action of Γw on the special coordinates is not part of the symplectic group Sl(2; Z). After coupling to gravity, namely in the context of a non-rigid special geometry, we can define the action of Γw as part of Sp(4; Z). To do that requires singular gauge transformations on the “scalar” component of the graviphoton field. In terms of these singular gauge transformations the topological obstruction to a strong-weak duality can be interpreted as a σ-model anomaly, indicating the possible dynamical role of the dilaton field in S-duality.
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GÓMEZ, César, LÓPEZ, Esperanza. From quantum monodromy to duality. In: Physics Letters. B, 1995, vol. 357, n° 4, p. 558-565. doi: 10.1016/0370-2693(95)00892-O https://archive-ouverte.unige.ch/unige:102534

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Deposited on : 2018-02-26

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