Perturbation of the Ground Varieties of C = 1 String Theory

Details Perturbation of the Ground Varieties of C = 1 String Theory Perturbation of the Ground Varieties of C = 1 String Theory

1993-08-13

arxiv.org/abs/hep-th/9308062v2

Mod.Phys.Lett.A8:3187-3200,1993

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, TIFR/TH/93-36, phyzzx macro.(A clarification added in Introduction, and a few references added)

Scientific paper

10.1142/S0217732393002129

We discuss the effect of perturbations on the ground rings of $c=1$ string theory at the various compactification radii defining the $A_N$ points of the moduli space. We argue that perturbations by plus-type moduli define ground varieties which are equivalent to the unperturbed ones under redefinitions of the coordinates and hence cannot smoothen the singularity. Perturbations by the minus-type moduli, on the other hand, lead to semi-universal deformations of the singular varieties that can smoothen the singularity under certain conditions. To first order, the cosmological perturbation by itself can remove the singularity only at the self-dual ($A_1$) point.}

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