Duality Group for Calabi-Yau 2-Moduli Space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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25 pages and 7 figures (1 .ps figure is now attached at end of file), phyzzx, POLFIS-TH. 05/93, DFTT 34/93

Scientific paper

10.1016/0550-3213(94)90439-1

We present an efficient method for computing the duality group $\Gamma$ of the moduli space \cM for strings compactified on a Calabi-Yau manifold described by a two-moduli deformation of the quintic polynomial immersed in $\CP(4)$, $\cW={1\over5}(\iy_1^5+\cdots+\iy_5^5)-a\,\iy_4^3 \iy_5^2 -b\, \iy_4^2 \iy_5^3$. We show that $\Gamma$ is given by a $3$--dimensional representation of a central extension of $B_5$, the braid group on five strands.

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