Weighed average over Narain moduli space as deformation of CFT target space
arXiv:2109.10382 · doi:10.1103/PhysRevD.105.086018
Abstract
We consider the weighted average of a two dimensional CFT, whose target space is , over its Narain moduli space. We take as the weighing function the integral kernel which gives rise to deformation when applied to the world sheet moduli data of the partition function viewed as vacuum amplitude when the world sheet is a torus. We compute the smeared partition function where this kernel is applied to the target space moduli. Smearing the partition function over the parameter space of a field theory generally leads to the breakdown in the ability to write the partition function as a sum over Boltzmann factor with unit coefficients. The weight function inspired by the deformation appears to be an exception to this general expectation. We show that this smearing leads to a marginal deformation corresponding to the overall rescaling of the target space .
arXiv comment15 pages
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