Built on

A. E. Fischer and J. A. Wolf, The Structure of Compact Ricci-Flat Riemannian Manifolds , Journal of Differential Geometry 10
1975
Earlier work this paper cites.
A. Schwimmer and N. Seiberg, Comments on the N=2, N=3, N=4 Superconformal Algebras in Two-Dimensions , Phys. Lett. B184
1987
Earlier work this paper cites.
A. Sen, Black hole solutions in heterotic string theory on a torus , Nucl. Phys. B440
1995
Earlier work this paper cites.
G. T. Horowitz and J. Polchinski, A Correspondence principle for black holes and strings , Phys. Rev. D55
1997
Earlier work this paper cites.
G. T. Horowitz and J. Polchinski, Selfgravitating fundamental strings , Phys. Rev. D57
1998
Earlier work this paper cites.
N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, The Hierarchy problem and new dimensions at a millimeter , Phys. Lett. B429
1998
Earlier work this paper cites.
N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, Phenomenology, astrophysics and cosmology of theories with submillimeter dimensions and TeV scale quantum gravity , Phys. Rev. D59
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity , Phys. Rept. 323
2000
Earlier work this paper cites.
J. M. Maldacena and C. Nunez, Supergravity description of field theories on curved manifolds and a no go theorem , Int. J. Mod. Phys. A16
2001
Earlier work this paper cites.
S. B. Giddings and S. D. Thomas, High-energy colliders as black hole factories: The End of short distance physics , Phys. Rev. D65
2002
Earlier work this paper cites.
T. Banks, M. Johnson and A. Shomer, A Note on Gauge Theories Coupled to Gravity , JHEP 0609
2006
Earlier work this paper cites.
C. Voisin, On integral hodge classes on uniruled or calabi-yau threefolds , Advanced Studies in Pure Mathematics 45
2006
Earlier work this paper cites.
H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland , Nucl.Phys. B766
2007
Earlier work this paper cites.
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force , JHEP 0706
2007
Earlier work this paper cites.
Y. Kats, L. Motl and M. Padi, Higher-order corrections to mass-charge relation of extremal black holes , JHEP 12
2007
Earlier work this paper cites.
S. Dimopoulos, S. Kachru, J. McGreevy and J. G. Wacker, N-flation , JCAP 0808
2008
Earlier work this paper cites.
G. Dvali and M. Redi, Black Hole Bound on the Number of Species and Quantum Gravity at LHC , Phys. Rev. D77
Original
2008
Earlier work this paper cites.
T. A. Wagner, S. Schlamminger, J. H. Gundlach and E. G. Adelberger, Torsion-balance tests of the weak equivalence principle , Class. Quant. Grav. 29
Original
2012
Earlier work this paper cites.
C. Cheung and G. N. Remmen, Infrared Consistency and the Weak Gravity Conjecture , JHEP 1412
Original
2014
Earlier work this paper cites.

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2016

Evidence for a Lattice Weak Gravity Conjecture

Heidenreich, Ben, Reece, Matthew, Rudelius, Tom

Understand

The Weak Gravity Conjecture postulates the existence of superextremal charged particles, i.e.

those with mass smaller than or equal to their charge in Planck units.
We present further evidence for our recent observation that in known examples a much stronger statement is true: an infinite tower of superextremal particles of different charges exists.
We show that effective Kaluza-Klein field theories and perturbative string vacua respect the Sublattice Weak Gravity Conjecture, namely that a finite index sublattice of the full charge lattice exists with a superextremal particle at each site.

Built on

A. E. Fischer and J. A. Wolf, The Structure of Compact Ricci-Flat Riemannian Manifolds , Journal of Differential Geometry 10
1975
Earlier work this paper cites.
A. Schwimmer and N. Seiberg, Comments on the N=2, N=3, N=4 Superconformal Algebras in Two-Dimensions , Phys. Lett. B184
1987
Earlier work this paper cites.
A. Sen, Black hole solutions in heterotic string theory on a torus , Nucl. Phys. B440
1995
Earlier work this paper cites.
G. T. Horowitz and J. Polchinski, A Correspondence principle for black holes and strings , Phys. Rev. D55
1997
Earlier work this paper cites.
G. T. Horowitz and J. Polchinski, Selfgravitating fundamental strings , Phys. Rev. D57
1998
Earlier work this paper cites.
N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, The Hierarchy problem and new dimensions at a millimeter , Phys. Lett. B429
1998
Earlier work this paper cites.
N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, Phenomenology, astrophysics and cosmology of theories with submillimeter dimensions and TeV scale quantum gravity , Phys. Rev. D59
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity , Phys. Rept. 323
2000
Earlier work this paper cites.
J. M. Maldacena and C. Nunez, Supergravity description of field theories on curved manifolds and a no go theorem , Int. J. Mod. Phys. A16
2001
Earlier work this paper cites.
S. B. Giddings and S. D. Thomas, High-energy colliders as black hole factories: The End of short distance physics , Phys. Rev. D65
2002
Earlier work this paper cites.
T. Banks, M. Johnson and A. Shomer, A Note on Gauge Theories Coupled to Gravity , JHEP 0609
2006
Earlier work this paper cites.
C. Voisin, On integral hodge classes on uniruled or calabi-yau threefolds , Advanced Studies in Pure Mathematics 45
2006
Earlier work this paper cites.
H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland , Nucl.Phys. B766
2007
Earlier work this paper cites.
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force , JHEP 0706
2007
Earlier work this paper cites.
Y. Kats, L. Motl and M. Padi, Higher-order corrections to mass-charge relation of extremal black holes , JHEP 12
2007
Earlier work this paper cites.
S. Dimopoulos, S. Kachru, J. McGreevy and J. G. Wacker, N-flation , JCAP 0808
2008
Earlier work this paper cites.
G. Dvali and M. Redi, Black Hole Bound on the Number of Species and Quantum Gravity at LHC , Phys. Rev. D77
Original
2008
Earlier work this paper cites.
T. A. Wagner, S. Schlamminger, J. H. Gundlach and E. G. Adelberger, Torsion-balance tests of the weak equivalence principle , Class. Quant. Grav. 29
Original
2012
Earlier work this paper cites.
C. Cheung and G. N. Remmen, Infrared Consistency and the Weak Gravity Conjecture , JHEP 1412
Original
2014
Earlier work this paper cites.