C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167] [INSPIRE].
E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85 [hep-th/9503124] [INSPIRE].
B.S. Acharya, N = 1 heterotic/M theory duality and Joyce manifolds, Nucl. Phys. B 475 (1996) 579 [hep-th/9603033] [INSPIRE].
B.S. Acharya and E. Witten, Chiral fermions from manifolds of G2 holonomy, hep-th/0109152 [INSPIRE].
S. Gukov, S.-T. Yau and E. Zaslow, Duality and fibrations on G2 manifolds, Turk. J. Math. 27 (2003) 61.
A. Strominger, S.-T. Yau and E. Zaslow, Mirror symmetry is T duality, Nucl. Phys. B 479 (1996) 243 [hep-th/9606040] [INSPIRE].
D.R. Morrison, Half K3 surfaces, talk given at Strings, (2002).
O. Biquard and V. Minerbe, A Kummer construction for gravitational instantons, Commun. Math. Phys. 308 (2011) 773 [arXiv:1005.5133] [INSPIRE].
D.R. Morrison, Limits of K3 metrics, to appear.
A.P. Braun and S. Schäfer-Nameki, Compact, singular G2-holonomy manifolds and M/heterotic/F-theory duality, JHEP 04 (2018) 126 [arXiv:1708.07215] [INSPIRE].
B.S. Acharya, M theory, Joyce orbifolds and super Yang-Mills, Adv. Theor. Math. Phys. 3 (1999) 227 [hep-th/9812205] [INSPIRE].
D.D. Joyce, Compact Riemannian 7-manifolds with holonomy G2. I, J. Diff. Geom. 43 (1996) 291.
D.D. Joyce, Compact Riemannian 7-manifolds with holonomy G2. II, J. Diff. Geom. 43 (1996) 329.
C.-H. Liu, On the global structure of some natural fibrations of Joyce manifolds, hep-th/9809007 [INSPIRE].
M. Gross and P.M.H. Wilson, Mirror symmetry via 3-tori for a class of Calabi-Yau threefolds, Math. Ann. 309 (1997) 505 [alg-geom/9608004].
C. Borcea, K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds, AMS/IP Stud. Adv. Math. 1 (1996) 717.
C. Voisin, Miroirs et involutions sur les surfaces K3 (in French), Astérisque 218 (1993) 273.
R. Friedman, J. Morgan and E. Witten, Vector bundles and F-theory, Commun. Math. Phys. 187 (1997) 679 [hep-th/9701162] [INSPIRE].
M. Bershadsky, K.A. Intriligator, S. Kachru, D.R. Morrison, V. Sadov and C. Vafa, Geometric singularities and enhanced gauge symmetries, Nucl. Phys. B 481 (1996) 215 [hep-th/9605200] [INSPIRE].
P.S. Aspinwall and R.Y. Donagi, The heterotic string, the tangent bundle, and derived categories, Adv. Theor. Math. Phys. 2 (1998) 1041 [hep-th/9806094] [INSPIRE].
V. Kaplunovsky, J. Sonnenschein, S. Theisen and S. Yankielowicz, On the duality between perturbative heterotic orbifolds and M-theory on T4/ZN, Nucl. Phys. B 590 (2000) 123 [hep-th/9912144] [INSPIRE].
E. Gorbatov, V.S. Kaplunovsky, J. Sonnenschein, S. Theisen and S. Yankielowicz, On heterotic orbifolds, M-theory and type-I-prime brane engineering, JHEP 05 (2002) 015 [hep-th/0108135] [INSPIRE].
M. Marquart and D. Waldram, F theory duals of M-theory on S1/Z2 × T4/ZN, hep-th/0204228 [INSPIRE].
L.B. Anderson, J. Gray, A. Lukas and B. Ovrut, The Atiyah class and complex structure stabilization in heterotic Calabi-Yau compactifications, JHEP 10 (2011) 032 [arXiv:1107.5076] [INSPIRE].
K.-M. Lee, Instantons and magnetic monopoles on R3 × S1 with arbitrary simple gauge groups, Phys. Lett. B 426 (1998) 323 [hep-th/9802012] [INSPIRE].
T.C. Kraan and P. van Baal, Periodic instantons with nontrivial holonomy, Nucl. Phys. B 533 (1998) 627 [hep-th/9805168] [INSPIRE].
M. Berkooz, R.G. Leigh, J. Polchinski, J.H. Schwarz, N. Seiberg and E. Witten, Anomalies, dualities, and topology of D = 6 N = 1 superstring vacua, Nucl. Phys. B 475 (1996) 115 [hep-th/9605184] [INSPIRE].
J. de Boer et al., Triples, fluxes, and strings, Adv. Theor. Math. Phys. 4 (2002) 995 [hep-th/0103170] [INSPIRE].
D.R. Morrison and C. Vafa, Compactifications of F-theory on Calabi-Yau threefolds. 2, Nucl. Phys. B 476 (1996) 437 [hep-th/9603161] [INSPIRE].
A. Sen, Duality and orbifolds, Nucl. Phys. B 474 (1996) 361 [hep-th/9604070] [INSPIRE].
S. Donaldson, Adiabatic limits of co-associative Kovalev-Lefschetz fibrations, in Algebra, geometry, and physics in the 21st century, Springer, Cham, Switzerland (2017), pg. 1.
P.S. Aspinwall and D.R. Morrison, Point-like instantons on K3 orbifolds, Nucl. Phys. B 503 (1997) 533 [hep-th/9705104] [INSPIRE].
L.B. Anderson, A.B. Barrett, A. Lukas and M. Yamaguchi, Four-dimensional effective M-theory on a singular G2 manifold, Phys. Rev. D 74 (2006) 086008 [hep-th/0606285] [INSPIRE].
B.S. Acharya and B.J. Spence, Flux, supersymmetry and M-theory on seven manifolds, hep-th/0007213 [INSPIRE].
B.S. Acharya, A moduli fixing mechanism in M-theory, hep-th/0212294 [INSPIRE].
R. Donagi and K. Wendland, On orbifolds and free fermion constructions, J. Geom. Phys. 59 (2009) 942 [arXiv:0809.0330] [INSPIRE].
S. Groot Nibbelink and P.K.S. Vaudrevange, Schoen manifold with line bundles as resolved magnetized orbifolds, JHEP 03 (2013) 142 [arXiv:1212.4033] [INSPIRE].
G. Aldazabal, A. Font, L.E. Ibáñez, A.M. Uranga and G. Violero, Nonperturbative heterotic D = 6, D = 4, N = 1 orbifold vacua, Nucl. Phys. B 519 (1998) 239 [hep-th/9706158] [INSPIRE].
G. Aldazabal, A. Font, L.E. Ibáñez and G. Violero, D = 4, N = 1, type IIB orientifolds, Nucl. Phys. B 536 (1998) 29 [hep-th/9804026] [INSPIRE].
A.P. Braun and T. Watari, Heterotic-type IIA duality and degenerations of K3 surfaces, JHEP 08 (2016) 034 [arXiv:1604.06437] [INSPIRE].
E. Looijenga, Root systems and elliptic curves, Invent. Math. 38 (1976) 17.
E. Looijenga, Invariant theory for generaized root systems, Invent. Math. 61 (1980) 1.
K.-S. Choi and T. Kobayashi, Transitions of orbifold vacua, JHEP 07 (2019) 111 [arXiv:1901.11194] [INSPIRE].
N. Seiberg and E. Witten, Comments on string dynamics in six-dimensions, Nucl. Phys. B 471 (1996) 121 [hep-th/9603003] [INSPIRE].
O.J. Ganor and A. Hanany, Small E8 instantons and tensionless noncritical strings, Nucl. Phys. B 474 (1996) 122 [hep-th/9602120] [INSPIRE].
B.A. Ovrut, T. Pantev and J. Park, Small instanton transitions in heterotic M-theory, JHEP 05 (2000) 045 [hep-th/0001133] [INSPIRE].
H. Lü, C.N. Pope and K.S. Stelle, M theory/heterotic duality: a Kaluza-Klein perspective, Nucl. Phys. B 548 (1999) 87 [hep-th/9810159] [INSPIRE].
P.S. Aspinwall and D.R. Morrison, Nonsimply connected gauge groups and rational points on elliptic curves, JHEP 07 (1998) 012 [hep-th/9805206] [INSPIRE].
K.A. Intriligator, New string theories in six-dimensions via branes at orbifold singularities, Adv. Theor. Math. Phys. 1 (1998) 271 [hep-th/9708117] [INSPIRE].
Y. Tachikawa, Frozen singularities in M and F-theory, JHEP 06 (2016) 128 [arXiv:1508.06679] [INSPIRE].
P.S. Aspinwall, Compactification, geometry and duality: N = 2, in Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 99): strings, branes, and gravity, (2000), pg. 723 [hep-th/0001001] [INSPIRE].
C. Lüdeling and F. Ruehle, F-theory duals of singular heterotic K3 models, Phys. Rev. D 91 (2015) 026010 [arXiv:1405.2928] [INSPIRE].
J.D. Blum and K.A. Intriligator, New phases of string theory and 6D RG fixed points via branes at orbifold singularities, Nucl. Phys. B 506 (1997) 199 [hep-th/9705044] [INSPIRE].
M. Bianchi and A. Sagnotti, Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519 [INSPIRE].
E.G. Gimon and J. Polchinski, Consistency conditions for orientifolds and d manifolds, Phys. Rev. D 54 (1996) 1667 [hep-th/9601038] [INSPIRE].
J.A. Harvey, D.A. Lowe and A. Strominger, N = 1 string duality, Phys. Lett. B 362 (1995) 65 [hep-th/9507168] [INSPIRE].
A.P. Braun, R. Ebert, A. Hebecker and R. Valandro, Weierstrass meets Enriques, JHEP 02 (2010) 077 [arXiv:0907.2691] [INSPIRE].
S. Kachru and J. McGreevy, M theory on manifolds of G2 holonomy and type IIA orientifolds, JHEP 06 (2001) 027 [hep-th/0103223] [INSPIRE].
E.G. Gimon and C.V. Johnson, K3 orientifolds, Nucl. Phys. B 477 (1996) 715 [hep-th/9604129] [INSPIRE].
M. Berkooz and R.G. Leigh, A D = 4, N = 1 orbifold of type-I strings, Nucl. Phys. B 483 (1997) 187 [hep-th/9605049] [INSPIRE].
A. Dabholkar and J. Park, An orientifold of type IIB theory on K3, Nucl. Phys. B 472 (1996) 207 [hep-th/9602030] [INSPIRE].
K.S. Narain, M.H. Sarmadi and C. Vafa, Asymmetric orbifolds, Nucl. Phys. B 288 (1987) 551 [INSPIRE].
I. Antoniadis, E. Dudas and A. Sagnotti, Supersymmetry breaking, open strings and M-theory, Nucl. Phys. B 544 (1999) 469 [hep-th/9807011] [INSPIRE].
I. Antoniadis, G. D’Appollonio, E. Dudas and A. Sagnotti, Partial breaking of supersymmetry, open strings and M-theory, Nucl. Phys. B 553 (1999) 133 [hep-th/9812118] [INSPIRE].
J. Scherk and J.H. Schwarz, Spontaneous breaking of supersymmetry through dimensional reduction, Phys. Lett. B 82 (1979) 60 [INSPIRE].
A. Gregori, String string triality for d = 4, Z2 orbifolds, JHEP 06 (2002) 041 [hep-th/0110201] [INSPIRE].
J. Majumder, Type IIA orientifold limit of M-theory on compact Joyce 8 manifold of Spin(7) holonomy, JHEP 01 (2002) 048 [hep-th/0109076] [INSPIRE].
B.S. Acharya, Dirichlet Joyce manifolds, discrete torsion and duality, Nucl. Phys. B 492 (1997) 591 [hep-th/9611036] [INSPIRE].
J.A. Harvey and G.W. Moore, Superpotentials and membrane instantons, hep-th/9907026 [INSPIRE].
P. Hořava and E. Witten, Heterotic and type-I string dynamics from eleven-dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209] [INSPIRE].
P. Hořava and E. Witten, Eleven-dimensional supergravity on a manifold with boundary, Nucl. Phys. B 475 (1996) 94 [hep-th/9603142] [INSPIRE].
M.J. Duff, R. Minasian and E. Witten, Evidence for heterotic/heterotic duality, Nucl. Phys. B 465 (1996) 413 [hep-th/9601036] [INSPIRE].
B.S. Acharya, M theory compactification and two-brane/five-brane duality, hep-th/9605047 [INSPIRE].
J. Claussen and V. Kaplunovsky, Deconstructing the E0 SCFT to solve the orbifold paradox of the heterotic M-theory, arXiv:1606.08081 [INSPIRE].
T. Pantev and M. Wijnholt, Hitchin’s equations and M-theory phenomenology, J. Geom. Phys. 61 (2011) 1223 [arXiv:0905.1968] [INSPIRE].
A.P. Braun, S. Cizel, M. Hübner and S. Schäfer-Nameki, Higgs bundles for M-theory on G2-manifolds, JHEP 03 (2019) 199 [arXiv:1812.06072] [INSPIRE].
R. Barbosa, M. Cvetič, J.J. Heckman, C. Lawrie, E. Torres and G. Zoccarato, T-branes and G2 backgrounds, Phys. Rev. D 101 (2020) 026015 [arXiv:1906.02212] [INSPIRE].
B.S. Acharya, A. Kinsella and E.E. Svanes, T3-invariant heterotic Hull-Strominger solutions, JHEP 01 (2021) 197 [arXiv:2010.07438] [INSPIRE].