Finite strings from non-chiral Mumford forms

A bstract 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 p...

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Bibliographic Details
Published in:The journal of high energy physics 2012-11, Vol.2012 (11), Article 50
Main Author: Matone, Marco
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Mapping
Partitions (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Riemann surfaces
Spacetime
String Theory
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Summary:A bstract 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( c 2 + c 3 + c 4 − c 5 ) 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 M g introduced in arXiv:1209.6049 .
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2012)050