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We test various conjectures about quantum gravity for six-dimensional string compactifications in the framework of F-theory.
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1996
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T. Kawai, String duality and modular forms
1997
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S. A. Cherkis and J. H. Schwarz, Wrapping the M theory five-brane on K3
1997
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T. Kawai, K3 surfaces, Igusa cusp form and string theory · 1997
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R. Dijkgraaf, G. W. Moore, E. P. Verlinde, and H. L. Verlinde, Elliptic genera of symmetric products and second quantized strings
1997
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J. A. Minahan, D. Nemeschansky, C. Vafa, and N. P. Warner, E strings and N=4 topological Yang-Mills theories
1998
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T. Kawai, String duality and enumeration of curves by Jacobi forms · 1998
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R. Wazir, Arithmetic on elliptic threefolds
2001
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T. C. Bachlechner, C. Long, and L. McAllister, Planckian Axions and the Weak Gravity Conjecture
2016
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A. Hebecker, F. Rompineve, and A. Westphal, Axion Monodromy and the Weak Gravity Conjecture
2016
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L. E. Ibanez, M. Montero, A. Uranga, and I. Valenzuela, Relaxion Monodromy and the Weak Gravity Conjecture
2016
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B. Heidenreich, M. Reece, and T. Rudelius, Sharpening the Weak Gravity Conjecture with Dimensional Reduction
2016
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F. Baume and E. Palti, Backreacted Axion Field Ranges in String Theory
2016
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M. Montero, G. Shiu, and P. Soler, The Weak Gravity Conjecture in three dimensions
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J. Polchinski, Monopoles, duality, and string theory
2004
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D. S. Berman and J. A. Harvey, The Self-dual string and anomalies in the M5-brane
2004
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M. Kreuzer and H. Skarke, PALP: A Package for analyzing lattice polytopes with applications to toric geometry
2004
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N. Arkani-Hamed, L. Motl, A. Nicolis, and C. Vafa, The String landscape, black holes and gravity as the weakest force
2007
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H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland
2007
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F. Denef, Les Houches Lectures on Constructing String Vacua
2008
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M. Del Zotto and G. Lockhart, On Exceptional Instanton Strings
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J. Gu, M.-x. Huang, A.-K. Kashani-Poor, and A. Klemm, Refined BPS invariants of 6d SCFTs from anomalies and modularity
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