NSR measures on hyperelliptic locus and non-renormalization of 1,2,3-point functions
High Energy Physics - Theory
2008-11-26 v1
Abstract
We demonstrate (under a modest assumption) that the sums over spin-structures of the simplest combinations of fermionic correlators (Szego kernels) and DHP/CDG/Grushevsky NSR measures vanish at least on the hyperelliptic loci in the moduli space of Riemann surfaces -- despite the violation of the theta_e^4 hypothesis at g>2. This provides an additional important support to validity of these measures and is also a step towards a proof of the non-renormalization theorems in the NSR approach.
Keywords
Cite
@article{arxiv.0805.0011,
title = {NSR measures on hyperelliptic locus and non-renormalization of 1,2,3-point functions},
author = {A. Morozov},
journal= {arXiv preprint arXiv:0805.0011},
year = {2008}
}
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8 pages