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2017

Compact, Singular G2-Holonomy Manifolds and M/Heterotic/F-Theory Duality

Braun, Andreas P., Schafer-Nameki, Sakura

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We study the duality between M-theory on compact holonomy G2-manifolds and the heterotic string on Calabi-Yau three-folds.

The duality is studied for K3-fibered G2-manifolds, called twisted connected sums, which lend themselves to an application of fiber-wise M-theory/Heterotic Duality.
For a large class of such G2-manifolds we are able to identify the dual heterotic as well as F-theory realizations.
First we establish this chain of dualities for smooth G2-manifolds.

Compact, Singular G2-Holonomy Manifolds and M/Heterotic/F-Theory Duality · Around

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T. Pantev and M. Wijnholt, Hitchin’s Equations and M-Theory Phenomenology , J. Geom. Phys. 61
Original
1968
Earlier work this paper cites.
K. S. Narain, New Heterotic String Theories in Uncompactified Dimensions ¡ 10 , Phys. Lett. B169
1986
Earlier work this paper cites.
C. Schoen, On fiber products of rational elliptic surfaces with section , Math. Z. 197
1988
Earlier work this paper cites.
V. V. Batyrev, Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties , J. Alg. Geom. 3
1994
Earlier work this paper cites.
S. L. Shatashvili and C. Vafa, Superstrings and manifold of exceptional holonomy , Selecta Math. 1
1995
Earlier work this paper cites.
E. Witten, String theory dynamics in various dimensions , Nucl. Phys. B443
1995
Earlier work this paper cites.
A. Strominger, S.-T. Yau and E. Zaslow, Mirror symmetry is T duality , Nucl. Phys. B479
1996
Earlier work this paper cites.
hep-th/9611137
P. S. Aspinwall, K3 surfaces and string duality , in Fields, strings and duality. Proceedings, Summer School, Theoretical Advanced Study Institute in Elementary Particle Physics, TASI’96, Boulder, USA, June 2-28, 1996 , pp. 421–540, 1996 · 1996
Earlier work this paper cites.
R. Donagi, A. Grassi and E. Witten, A Nonperturbative superpotential with E(8) symmetry , Mod. Phys. Lett. A11
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. B481
1996
Earlier work this paper cites.
G. Curio and D. Lust, A Class of N=1 dual string pairs and its modular superpotential , Int. J. Mod. Phys. A12
1997
Earlier work this paper cites.

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