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We show that the Weak Gravity Conjecture (WGC) implies a nontrivial upper bound on the volumes of the minimal-volume cycles in certain homology classes that admit no calibrated representatives.
H. Federer and W. H. Fleming, Normal and Integral Currents , Annals of Mathematics 72
1960
Earlier work this paper cites.
M. Buican and S. Franco, SUSY breaking mediation by D-brane instantons , JHEP 12
1964
Earlier work this paper cites.
Grundlehren der mathematischen Wissenschaften. Springer, 1969
H. Federer, Geometric measure theory · 1969
Earlier work this paper cites.
H. B. Lawson and J. Simons, On stable currents and their application to global problems in real and complex geometry , Annals of Mathematics 98
1973
Earlier work this paper cites.
F. J. Almgren, Jr., Q Q valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two , Bull. Amer. Math. Soc. (N.S.) 8
1983
Earlier work this paper cites.
S. X.-D. Chang, Two-dimensional area minimizing integral currents are classical minimal surfaces , J. Amer. Math. Soc. 1
1988
Earlier work this paper cites.
Amer. Math. Soc., Providence, RI, 1993
F. Almgren, Questions and answers about area-minimizing surfaces and geometric measure theory , in Differential geometry: partial differential equations on manifolds (Los Angeles, CA, 1990) , vol. 54 of Proc. Sympos. Pure Math. , pp. 29–53 · 1993
Earlier work this paper cites.
E. Witten, Nonperturbative superpotentials in string theory , Nucl.Phys. B474
1996
Earlier work this paper cites.
M. Marino, R. Minasian, G. W. Moore and A. Strominger, Nonlinear instantons from supersymmetric p-branes , JHEP 01
2000
Earlier work this paper cites.
W. Fulton, R. Macpherson, F. Sottile and B. Sturmfels, Intersection theory on spherical varieties , J. Algebraic Geom. 4
2000
Earlier work this paper cites.
D. Eisenbud, M. Mustaţǎ and M. Stillman, Cohomology on toric varieties and local cohomology with monomial supports , J. Symbolic Comput. 29
2000
Earlier work this paper cites.
D. Maclagan and G. G. Smith, Multigraded Castelnuovo-Mumford regularity , J. Reine Angew. Math. 571
2004
Earlier work this paper cites.
C. Arezzo and G. L. Nave, Minimal two spheres in kähler–einstein fano manifolds , Advances in Mathematics 191
2005
Earlier work this paper cites.
F. Denef, M. R. Douglas, B. Florea, A. Grassi and S. Kachru, Fixing All Moduli in a Simple F-Theory Compactification , arXiv e-prints (Mar, 2005) hep–th/0503124, [ hep-th/0503124 ]
2005
Cited alongside, same era.
C. Beasley and E. Witten, New instanton effects in string theory , JHEP 02
2006
Cited alongside, same era.
M. Micallef and J. Wolfson, Area minimizers in a K3 surface and holomorphicity , Geometric & Functional Analysis GAFA 16
2006
Cited alongside, same era.
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force , JHEP 06
2007
Cited alongside, same era.
M. Cvetic, R. Richter and T. Weigand, (Non-)BPS bound states and D-brane instantons , JHEP 07
2008
Cited alongside, same era.
2016
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2016
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M. Montero, G. Shiu and P. Soler, The Weak Gravity Conjecture in three dimensions , JHEP 10
2016
Later among the works it cites.
2016
Later among the works it cites.
H. Ooguri and C. Vafa, Non-supersymmetric AdS and the Swampland , Adv. Theor. Math. Phys. 21
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2008
Cited alongside, same era.
2009
Cited alongside, same era.
A. Collinucci, New F-theory lifts , JHEP 08
2009
Cited alongside, same era.
A. Collinucci, New F-theory lifts. II. Permutation orientifolds and enhanced singularities , JHEP 04
2010
Cited alongside, same era.
2010
Cited alongside, same era.
C. Cheung and G. N. Remmen, Naturalness and the Weak Gravity Conjecture , Phys. Rev. Lett. 113
2014
Cited alongside, same era.
T. Rudelius, Constraints on Axion Inflation from the Weak Gravity Conjecture , JCAP 1509
2015
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2017
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2017
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2017
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2018
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2018
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2018
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2018
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2018
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S.-J. Lee, W. Lerche and T. Weigand, Tensionless Strings and the Weak Gravity Conjecture , JHEP 10
2018
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