The Weak Gravity Conjecture in three dimensions

By M. Montero, Gary Shiu, Pablo Soler. 2016

172 citations recorded by the source corpus.

A bstractWe study weakly coupled U(1) theories in AdS3, their associated charged BTZ solutions, and their charged spectra. We find that modular invariance of the holographic dual two-dimensional CFT and compactness of the gauge group together imply the existence of charged operators with conformal dimension significantly below the black hole threshold. We regard this as a form of the Weak Gravity Conjecture (WGC) in three dimensions. We also explore the constraints posed by modular invariance on a particular discrete ℤN symmetry which arises in our discussion. In this case, modular invariance does not guarantee the existence of light ℤN -charged states. We also highlight the differences between our discussion and the usual heuristic arguments for the WGC based on black hole remnants.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/32ccca864ec402e95b82d8da84d4be31f0cc17c5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Eran Palti
2. Michael J. Reece
3. B. Heidenreich
4. Tom Rudelius

In Nuclear and High Energy Physics

1. Eran Palti
2. B. Heidenreich
3. Michael J. Reece
4. I. Valenzuela
5. Tom Rudelius
6. Delaram Mirfendereski
7. J. Calderón-Infante
8. Marieke van Beest

In Statistical and Nonlinear Physics

1. I. Valenzuela
2. Michael J. Reece
3. B. Heidenreich
4. Delaram Mirfendereski
5. J. Calderón-Infante
6. Marieke van Beest
7. Eran Palti
8. Tom Rudelius

Citations in the corpus

• A Tower Weak Gravity Conjecture from Infrared Consistency (2018, unknown): “This stronger version of the WGC was subsequently shown to not always hold [44, 45], though there are examples in string theory where the particles satisfying the WGC occupy a proper sub-lattice [44, 45].”
• Evidence for a sublattice weak gravity conjecture (2016, methodology): “Note added: we have learned that the modular invariance argument we present in §3.1 has been independently derived by Montero, Shiu, and Soler and applied to the Weak Gravity Conjecture in AdS3 [33].”
• The Swampland: Introduction and Review (2019, methodology): “The bosonic fields of chiral multiplets can be paired see [8, 70] for follow-up studies discussing subtleties with this.”
• Lectures on the Swampland Program in String Compactifications (2021, methodology): “Non-susy AdS/CFT: An instability in AdS, even if highly suppressed, has dramatic implications for the boundary CFT. Note that an observer at the boundary has access to an infinite volume of the bulk and hence can detect any bulk instability instantaneously.”