On the non-simply laced mirror geometries in type II strings

Details On the non-simply laced mirror geometries in type II strings On the non-simply laced mirror geometries in type II strings

Feb 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cqgra..17..515b&link_type=abstract

Classical and Quantum Gravity, Volume 17, Issue 3, pp. 515-532 (2000).

Physics

19

Scientific paper

Using an analytic analysis, we derive and solve the constraint equations obtained by folding the 2-spheres which are permuted under the outer automorphism groups icons/Journals/Common/Gamma" ALT="Gamma" ALIGN="TOP"/> of the toric graphs of affine ADE geometries in type II strings. We show that there are classes of solutions depending on the actions of icons/Journals/Common/Gamma" ALT="Gamma" ALIGN="TOP"/> on the elliptic curve E on which flat ADE bundles are fibred. We give two classes of four-dimensional N = 2 superconformal field theory solutions for affine BCFG geometries; one having the right space dimension but exhibiting mirror potentials with branch cuts and a second class sharing the main features with the solutions given by Mayr.

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