论文标题

关于膜相互作用和标量电势的注释

A Note on Membrane Interactions and the Scalar potential

论文作者

Herraez, Alvaro

论文摘要

由于标量,重力量和$(P+1)$ - 表格,我们计算了两个平行$ p $ branes之间的树级潜力。对于4d $ \ Mathcal {n} = 1 $ SuperGravity中的BPS膜,这提供了对经典Cremmer等人的有趣重新解释。根据标量,重力和3型交换方面的F端标量潜力的公式。通过这种方式,我们在标量场空间中每个点的标量电势与两个相互作用的BPS膜的系统之间提出了对应关系。通过提供一种具体的方式将有关标量电位形式的猜想与有关带电对象的频谱的猜想相关联,这可能会导致对Swampland程序的有趣含义。

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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