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.
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Herraez, A. A note on membrane interactions and the scalar potential. J. High Energ. Phys. 2020, 9 (2020). https://doi.org/10.1007/JHEP10(2020)009
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DOI: https://doi.org/10.1007/JHEP10(2020)009