Open AccessTwistingK3 ×T2orbifolds
Author(s) -
Mirjam Cvetič,
Tao Liu,
Michael Schulz
Publication year - 2007
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2007/09/092
Subject(s) - orientifold , fibered knot , pure mathematics , superpotential , calabi–yau manifold , class (philosophy) , type (biology) , brane , physics , mathematics , combinatorics , theoretical physics , mathematical physics , brane cosmology , computer science , geology , supersymmetry , artificial intelligence , paleontology
We construct a class of geometric twists of Calabi-Yau manifolds ofVoisin-Borcea type (K3 x T^2)/Z_2 and study the superpotential in a type IIAorientifold based on this geometry. The twists modify the direct product byfibering the K3 over T^2 while preserving the Z_2 involution. As an importantapplication, the Voisin-Borcea class contains T^6/(Z_2 x Z_2), the usualsetting for intersecting D6 brane model building. Past work in this contextconsidered only those twists inherited from T^6, but our work extends thesetwists to a subset of the blow-up modes. Our work naturally generalizes toarbitrary K3 fibered Calabi-Yau manifolds and to nongeometric constructions.Comment: 57 pages, 4 figures; uses harvmac.tex, amssym.tex; v3: minor corrections, references adde
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