We show that there is an infinite class of partition functions with world-sheet metric, space-time coordinates and first order systems, that correspond to volume forms on the moduli space of Riemann surfaces and are free of singularities at the Deligne-Mumford boundary. An example is the partition function with 4 = 2(c2 + c3 + c4 − c5) space-time coordinates, a b-c system of weight 3, one of weight 4 and a β-γ system of weight 5. Such partition functions are derived from the mapping of the Mumford forms to non-factorized scalar forms on Mg introduced in arXiv:1209.6049.

Finite strings from non-chiral Mumford forms

MATONE, MARCO
2012

Abstract

We show that there is an infinite class of partition functions with world-sheet metric, space-time coordinates and first order systems, that correspond to volume forms on the moduli space of Riemann surfaces and are free of singularities at the Deligne-Mumford boundary. An example is the partition function with 4 = 2(c2 + c3 + c4 − c5) space-time coordinates, a b-c system of weight 3, one of weight 4 and a β-γ system of weight 5. Such partition functions are derived from the mapping of the Mumford forms to non-factorized scalar forms on Mg introduced in arXiv:1209.6049.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2532044
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