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arXiv · 2412.00189

Quantum corrections to DGKT and the Weak Gravity Conjecture

Miguel Montero·Irene Valenzuela
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Abstract

We study D4 brane domain walls in the scale-separated 4d $\mathcal{N}$=1 AdS$_4$ DGKT scenario. Classically, these are BPS and satisfy a no-force condition since their tension equals their charge. We show that this property is not stable against quantum corrections and that these increase the brane tension-to-charge ratio, rendering the branes self-attractive. As a result, DGKT seems to be in tension with the Weak Gravity Conjecture for membranes. The quantum effects we consider include non-perturbative gaugino condensation on the D4-brane worldvolume and Euclidean D2 brane instantons, which correct the tension-to-charge ratio because the DGKT construction breaks all parity symmetries. Similar results hold in other 4d $\mathcal{N}$=1 setups not protected by parity symmetries.

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Miguel Montero, Irene Valenzuela. 2024-11-29. Quantum corrections to DGKT and the Weak Gravity Conjecture. https://arxiv.org/abs/2412.00189

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