Built on

S. Deser, R. Jackiw and G. ’t Hooft, Three-Dimensional Einstein Gravity: Dynamics of Flat Space
1984
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P. van Nieuwenhuizen and A. Waldron, On Euclidean spinors and Wick rotations
1996
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A. Ritz and R. Delbourgo, The Low-energy effective Lagrangian for photon interactions in any dimension
1996
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I. G. Avramidi, Heat kernel and quantum gravity
2000
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D. V. Vassilevich, Heat kernel expansion: User’s manual
2003
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A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion
2006
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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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A. Sen, Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
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2012
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K. Hinterbichler, Theoretical Aspects of Massive Gravity
Original
2012
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T. W. Grimm, R. Savelli and M. Weissenbacher, On α ′ \alpha^{\prime} corrections in N=1 F-theory compactifications
Original
2013
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C. Cheung and G. N. Remmen, Naturalness and the Weak Gravity Conjecture
Original
2014
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A. Sen, Microscopic and Macroscopic Entropy of Extremal Black Holes in String Theory
Original
2014
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C. Cheung and G. N. Remmen, Infrared Consistency and the Weak Gravity Conjecture
Original
2014
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T. Rudelius, On the Possibility of Large Axion Moduli Spaces
Original
2015
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A. de la Fuente, P. Saraswat and R. Sundrum, Natural Inflation and Quantum Gravity
Original
2015
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M. Montero, A. M. Uranga and I. Valenzuela, Transplanckian axions!?
Original
2015
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J. Brown, W. Cottrell, G. Shiu and P. Soler, Fencing in the Swampland: Quantum Gravity Constraints on Large Field Inflation
Original
2015
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2018

A Tower Weak Gravity Conjecture from Infrared Consistency

Andriolo, Stefano, Junghans, Daniel, Noumi, Toshifumi et al.

Understand

We analyze infrared consistency conditions of 3D and 4D effective field theories with massive scalars or fermions charged under multiple $U(1)$ gauge fields.

At low energies, one can integrate out the massive particles and thus obtain a one-loop effective action for the gauge fields.
In the regime where charge-independent contributions to higher-derivative terms in the action are sufficiently small, it is then possible to derive constraints on the charge-to-mass ratios of the massive particles from requiring that photons propagate causally and have an analytic S-matrix.
We thus find that the theories need to contain bifundamentals and satisfy a version of the weak gravity conjecture known as the convex-hull condition.

Built on

S. Deser, R. Jackiw and G. ’t Hooft, Three-Dimensional Einstein Gravity: Dynamics of Flat Space
1984
Earlier work this paper cites.
P. van Nieuwenhuizen and A. Waldron, On Euclidean spinors and Wick rotations
1996
Earlier work this paper cites.
A. Ritz and R. Delbourgo, The Low-energy effective Lagrangian for photon interactions in any dimension
1996
Earlier work this paper cites.
I. G. Avramidi, Heat kernel and quantum gravity
2000
Earlier work this paper cites.
D. V. Vassilevich, Heat kernel expansion: User’s manual
2003
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion
2006
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
2007
Earlier work this paper cites.
H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland
2007
Earlier work this paper cites.
A. Sen, Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
Original
2012
Earlier work this paper cites.
K. Hinterbichler, Theoretical Aspects of Massive Gravity
Original
2012
Earlier work this paper cites.
T. W. Grimm, R. Savelli and M. Weissenbacher, On α ′ \alpha^{\prime} corrections in N=1 F-theory compactifications
Original
2013
Earlier work this paper cites.
C. Cheung and G. N. Remmen, Naturalness and the Weak Gravity Conjecture
Original
2014
Earlier work this paper cites.
A. Sen, Microscopic and Macroscopic Entropy of Extremal Black Holes in String Theory
Original
2014
Earlier work this paper cites.
C. Cheung and G. N. Remmen, Infrared Consistency and the Weak Gravity Conjecture
Original
2014
Earlier work this paper cites.
T. Rudelius, On the Possibility of Large Axion Moduli Spaces
Original
2015
Earlier work this paper cites.
A. de la Fuente, P. Saraswat and R. Sundrum, Natural Inflation and Quantum Gravity
Original
2015
Earlier work this paper cites.
M. Montero, A. M. Uranga and I. Valenzuela, Transplanckian axions!?
Original
2015
Earlier work this paper cites.
J. Brown, W. Cottrell, G. Shiu and P. Soler, Fencing in the Swampland: Quantum Gravity Constraints on Large Field Inflation
Original
2015
Earlier work this paper cites.