Towards Generalized Mirror Symmetry for Twisted Connected Sum $G_2$ Manifolds

A. Corti, M. Haskins, J. Nordström, and T. Pacini, “Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds,” Geom. Topol

1955

Earlier work this paper cites.

V. S. Kulikov, “Degenerations of k 3 surfaces and enriques surfaces,” Mathematics of the USSR-Izvestiya

1977

Earlier work this paper cites.

V. V. Nikulin, “Integer symmetric bilinear forms and some of their geometric applications,” Izv. Akad. Nauk SSSR Ser. Mat

1979

Earlier work this paper cites.

U. Persson and H. Pinkham, “Degeneration of surfaces with trivial canonical bundle,” Annals of Mathematics

1981

Earlier work this paper cites.

I. Affleck, J. A. Harvey, and E. Witten, “Instantons and (Super)Symmetry Breaking in (2+1)-Dimensions,” Nucl. Phys

1982

Earlier work this paper cites.

R. Harvey and H. B. Lawson, Jr., “Calibrated geometries,” Acta Math

1982

Earlier work this paper cites.

C. Vafa, “Modular Invariance and Discrete Torsion on Orbifolds,” Nucl. Phys

1986

Earlier work this paper cites.

N. J. Hitchin, A. Karlhede, U. Lindstrom, and M. Rocek, “Hyperkahler Metrics and Supersymmetry,” Commun. Math. Phys

1987

Earlier work this paper cites.

S. Cecotti, S. Ferrara, and L. Girardello, “Geometry of Type II Superstrings and the Moduli of Superconformal Field Theories,” Int. J. Mod. Phys

1989

Earlier work this paper cites.

V. V. Batyrev, “Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties,” J. Alg. Geom

1994

Earlier work this paper cites.

S. L. Shatashvili and C. Vafa, “Superstrings and manifold of exceptional holonomy,” Selecta Math

1995

Earlier work this paper cites.

G. Papadopoulos and P. K. Townsend, “Compactification of D = 11 supergravity on spaces of exceptional holonomy,” Phys. Lett

1995

Earlier work this paper cites.

D. D. Joyce, “Compact riemannian 7-manifolds with holonomy g 2 g_{2} . i,” J. Differential Geom

1996

Earlier work this paper cites.

D. D. Joyce, “Compact riemannian 7-manifolds with holonomy g 2 g_{2} . ii,” J. Differential Geom

1996

Earlier work this paper cites.

M. Bershadsky, K. A. Intriligator, S. Kachru, D. R. Morrison, V. Sadov, and C. Vafa, “Geometric singularities and enhanced gauge symmetries,” Nucl. Phys

1996

Earlier work this paper cites.

R. C. Mclean, “Deformations of calibrated submanifolds,” Commun. Analy. Geom

1996

Earlier work this paper cites.

P. S. Aspinwall, D. R. Morrison, and M. Gross, “Stable singularities in string theory,” Commun. Math. Phys

1996

Earlier work this paper cites.

K. Becker, M. Becker, D. R. Morrison, H. Ooguri, Y. Oz, and Z. Yin, “Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau 4 folds,” Nucl. Phys

1996

Earlier work this paper cites.

B. S. Acharya, “Dirichlet Joyce manifolds, discrete torsion and duality,” Nucl. Phys

1997

Earlier work this paper cites.

J. M. Figueroa-O’Farrill, “A Note on the extended superconformal algebras associated with manifolds of exceptional holonomy,” Phys. Lett

1997

Earlier work this paper cites.

S. H. Katz and C. Vafa, “Geometric engineering of N=1 quantum field theories,” Nucl. Phys

1997

Earlier work this paper cites.

J. de Boer, K. Hori, Y. Oz, and Z. Yin, “Branes and mirror symmetry in N=2 supersymmetric gauge theories in three-dimensions,” Nucl. Phys

1997

Cited alongside, same era.

S. H. Katz and C. Vafa, “Matter from geometry,” Nucl. Phys

1997

Cited alongside, same era.

G. Curio and D. Lust, “A Class of N=1 dual string pairs and its modular superpotential,” Int. J. Mod. Phys

1997

Cited alongside, same era.

E. Perevalov and H. Skarke, “Enhanced gauged symmetry in type II and F theory compactifications: Dynkin diagrams from polyhedra,” Nucl. Phys

1997

Cited alongside, same era.

B. S. Acharya, “On mirror symmetry for manifolds of exceptional holonomy,” Nucl. Phys

1998

Cited alongside, same era.

M. Atiyah and E. Witten, “M theory dynamics on a manifold of G(2) holonomy,” Adv. Theor. Math. Phys

2003

Later among the works it cites.

B. S. Acharya and S. Gukov, “M theory and singularities of exceptional holonomy manifolds,” Phys. Rept

2004

Later among the works it cites.

M. R. Gaberdiel and P. Kaste, “Generalized discrete torsion and mirror symmetry for g(2) manifolds,” JHEP

2004

Later among the works it cites.

B. Fiol, “The BPS spectrum of N=2 SU(N) SYM and parton branes,” JHEP

2006

Later among the works it cites.

J. de Boer, A. Naqvi, and A. Shomer, “The Topological G(2) string,” Adv. Theor. Math. Phys

2008

Later among the works it cites.

Ph.D. Thesis. Cambridge University, 2008

J. Nordström, ”Deformations and gluing of asymptotically cylindrical manifolds with exceptional holonomy” · 2008