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A Note on Membrane Interactions and the Scalar potential

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arxiv 2006.01160 v2 pith:KEOZQST5 submitted 2020-06-01 hep-th

A Note on Membrane Interactions and the Scalar potential

classification hep-th
keywords scalarpotentialconjecturesexchangeforminterestingmembranesbranes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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    In codimension-one warped compactifications with exponential potentials, the KK mass decay rate λ_KK is reduced by warping but still satisfies the Sharpened Distance Conjecture precisely when the higher-dimensional po...