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Finiteness of volume of moduli spaces

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arxiv hep-th/0509224 v2 pith:2XS5RRLP submitted 2005-09-29 hep-th astro-phmath.DG

classification hep-thastro-phmath.DG
keywords modulispacesvolumeargumentauthorcertainconformalconjecture
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We give a ``physics proof'' of a conjecture made by the first author at Strings 2005, that the moduli spaces of certain conformal field theories are finite volume in the Zamolodchikov metric, using an RG flow argument.

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Cited by 1 Pith paper

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  1. Finiteness and the Emergence of Dualities

    hep-th 2024-12 conditional novelty 6.0 of 10

    Finiteness of quantum gravity amplitudes implies moduli spaces have at most Euclidean volume growth, which in turn implies duality groups act semisimply on charge lattices.

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