TY - JOUR

T1 - Discrete torsion in singular G2-manifolds and real LG

AU - Roiban, Radu

AU - Römelsberger, Christian

AU - Walcher, Johannes

N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2002/3

Y1 - 2002/3

N2 - We investigate strings at singularities of G2-holonomy manifolds which arise in Z{double-struck}2 orbifolds of Calabi-Yau spaces times a circle. The singularities locally look like R4/Z{double-struck}2 fibered over a SLAG, and can globally be embedded in CICYs in weighted projective spaces. The local model depends on the choice of a discrete torsion in the fibration, and the global model on an anti-holomorphic involution of the Calabi-Yau hypersurface. We determine how these choices are related to each other by computing a Wilson surface detecting discrete torsion. We then follow the same orbifolds to the non-geometric Landau-Ginzburg region of moduli space. We argue that the symmetry-breaking twisted sectors are effectively captured by real Landau-Ginzburg potentials. In particular, we find agreement in the low-energy spectra of strings computed from geometry and Gepner-model CFT. Along the way, we construct the full modular data of orbifolds of J\f = 2 minimal models by the mirror automorphism, and give a real-LG interpretation of their modular invariants. Some of the models provide examples of the mirror-symmetry phenomenon for G2 holonomy.

AB - We investigate strings at singularities of G2-holonomy manifolds which arise in Z{double-struck}2 orbifolds of Calabi-Yau spaces times a circle. The singularities locally look like R4/Z{double-struck}2 fibered over a SLAG, and can globally be embedded in CICYs in weighted projective spaces. The local model depends on the choice of a discrete torsion in the fibration, and the global model on an anti-holomorphic involution of the Calabi-Yau hypersurface. We determine how these choices are related to each other by computing a Wilson surface detecting discrete torsion. We then follow the same orbifolds to the non-geometric Landau-Ginzburg region of moduli space. We argue that the symmetry-breaking twisted sectors are effectively captured by real Landau-Ginzburg potentials. In particular, we find agreement in the low-energy spectra of strings computed from geometry and Gepner-model CFT. Along the way, we construct the full modular data of orbifolds of J\f = 2 minimal models by the mirror automorphism, and give a real-LG interpretation of their modular invariants. Some of the models provide examples of the mirror-symmetry phenomenon for G2 holonomy.

UR - http://www.scopus.com/inward/record.url?scp=19844367307&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=19844367307&partnerID=8YFLogxK

U2 - 10.4310/ATMP.2002.v6.n2.a2

DO - 10.4310/ATMP.2002.v6.n2.a2

M3 - Article

AN - SCOPUS:19844367307

VL - 6

SP - 207

EP - 278

JO - Advances in Theoretical and Mathematical Physics

JF - Advances in Theoretical and Mathematical Physics

SN - 1095-0761

IS - 2

ER -