arXiv 1502.005102015-02-02hep-th

基本五膜的F-理论

F-theory from Fundamental Five-branes

William D Linch, Warren Siegel

备注：: 13pp

摘要：

我们描述了低维F-理论的玻色子扇区的世界体积，它嵌入了4D，N=1 M-理论和3D II型超弦。世界体积（5-膜）理论是一个单一的6维规范2-形式$X_{MN}(σ^P)$，其场强是自对偶的。因此，与弦论不同，时空指数与世界面指数联系在一起：在哈密顿形式中，时空坐标是5个$σ$的GL（5）的一个$\mathbf{10}$（忽略$τ$）。当前代数给出了F-括号的重导。维拉索罗代数的背景独立子代数给出了通常的截面条件，而一种新的截面条件则来自于高斯定律，将世界体积与时空联系起来：只解旧的条件就得到了M理论，而只解新的条件就得到了弦的明显的T-对偶形式，两者的结合就产生了通常的弦。我们还发现了一个协变形式的条件，减少维度的弦坐标。

英文摘要：

We describe the worldvolume for the bosonic sector of the lower-dimensional F-theory that embeds 4D, N=1 M-theory and the 3D Type II superstring. The worldvolume (5-brane) theory is that of a single 6D gauge 2-form $X_{MN}(σ^P)$ whose field strength is selfdual. Thus unlike string theory, the spacetime indices are tied to the worldsheet ones: In the Hamiltonian formalism, the spacetime coordinates are a $\mathbf{10}$ of the GL(5) of the 5 $σ$'s (neglecting $τ$). The current algebra gives a rederivation of the F-bracket. The background-independent subalgebra of the Virasoro algebra gives the usual section condition, while a new type of section condition follows from Gauß's law, tying the worldvolume to spacetime: Solving just the old condition yields M-theory, while solving only the new one gives the manifestly T-dual version of the string, and the combination produces the usual string. We also find a covariant form of the condition that dimensionally reduces the string coordinates.

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