On the affine (D)over-cap(4) mirror geometry

Authors
Belhaj, A Elfallah, A Saidi, EH
Citation
A. Belhaj et al., On the affine (D)over-cap(4) mirror geometry, CLASS QUANT, 16(10), 1999, pp. 3297-3306
Citations number
36
Categorie Soggetti
Physics
Journal title
CLASSICAL AND QUANTUM GRAVITY
ISSN journal
02649381 → ACNP
Volume
16
Issue
10
Year of publication
1999
Pages
3297 - 3306
Database
ISI
SICI code
0264-9381(199910)16:10<3297:OTA(MG>2.0.ZU;2-9
Abstract
We study the mirror geometry of the blow-up of the affine (D) over cap(4) s ingularity by using a special tetravalent geometry based on an irreducible tetravalent vertex. The latter is a toric geometry of polytopes of the cubi c half-integer lattice. Our construction allows us to derive a new represen tation of the affine (D) over cap(n) geometries including the special (D) o ver cap(4) case. Comments on the various types of irreducible and reducible tetravalent vertices are also made.