A Note on Membrane Interactions and the Scalar potential

Abstract

We compute the tree-level potential between two parallel $p$-branes due to the exchange of scalars, gravitons and $(p+1)$-forms. In the case of BPS membranes in 4d $\mathcal{N}=1$ supergravity, this provides an interesting reinterpretation of the classical Cremmer et al. formula for the F-term scalar potential in terms of scalar, graviton and 3-form exchange. In this way, we present a correspondence between the scalar potential at every point in scalar field space and a system of two interacting BPS membranes. This could potentially lead to interesting implications for the swampland program by providing a concrete way to relate conjectures about the form of scalar potentials with conjectures regarding the spectrum of charged objects.

arXiv comment13 pages. Some typos corrected and references added, published version

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Cited by in corpus (6)

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• Swampland Conjectures for Strings and Membranes
• A Gravitino Distance Conjecture
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• Membranes in AdS4 orientifold vacua and their Weak Gravity Conjecture
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