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arXiv 1707.07572hep-th
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二重几何和例外几何中的质点作用和膜张力

Particle actions and brane tensions from double and exceptional geometry

Chris D. A. Blair

备注：
36 pages plus appendices, v2: typos, minor clarifications etc, v3: ditto, v4: corrected accidental use of D instead of n in the definitions of the generalised fluxes
发表信息：
JHEP 1710 (2017) 004
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摘要：

$n+1$维中的无质量粒子在卡鲁扎-克莱因约化下导致$n$维中的有质量粒子。在弦论中，包裹膜导致了在$n$维中的重粒子多重态，即对偶群$G$的表示。通过将这些粒子的质量编码到辅助世界线标量中，并在$G$下进行变换，我们写出了一个类似于无质量粒子在扩展时空中的作用量。我们将这种扩展的时空与出现在双场论和例外场论中的时空联系起来，并在这些理论的广义双态对称下，给出了一个不变的作用量。这为弦论和M理论中质量和张力的起源提供了一个更高维度的视角。最后，我们考虑减少特殊的场论上的扭曲环面，这是众所周知的，给大规模IIA理论的罗马人。在这种情况下，我们的粒子作用量自然地导致了有质量IIA中D 0膜的作用量。在这里，一个额外的向量场存在于世界线上，它在例外场论中的起源是一个向量场，它被引入以确保在广义双同态下的不变性。

英文摘要：

Massless particles in $n+1$ dimensions lead to massive particles in $n$ dimensions on Kaluza-Klein reduction. In string theory, wrapped branes lead to multiplets of massive particles in $n$ dimensions, in representations of a duality group $G$. By encoding the masses of these particles in auxiliary worldline scalars, also transforming under $G$, we write an action which resembles that for a massless particle on an extended spacetime. We associate this extended spacetime with that appearing in double field theory and exceptional field theory, and formulate a version of the action which is invariant under the generalised diffeomorphism symmetry of these theories. This provides a higher-dimensional perspective on the origin of mass and tension in string theory and M-theory. Finally, we consider the reduction of exceptional field theory on a twisted torus, which is known to give the massive IIA theory of Romans. In this case, our particle action leads naturally to the action for a D0 brane in massive IIA. Here an extra vector field is present on the worldline, whose origin in exceptional field theory is a vector field introduced to ensure invariance under generalised diffeomorphisms.

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