M-theory Solutions Invariant under $D(2,1;\gamma) \oplus D(2,1;\gamma)$
M-theory Solutions Invariant under $D(2,1;\gamma) \oplus D(2,1;\gamma)$
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$D(2,1;gamma) oplus D(2,1;gamma)$ 下的 M 理论解不变式
DOI：
10.1002/prop.201300039
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
D. Krym
中科院分区：
文献类型：
--
作者：
C. Bachas;E. D'hoker;J. Estes;D. Krym
我们使用等距超代数 D(2,1;\gamma) \oplus D(2,1;\gamma) 简化并扩展了半 BPS 解的构造到 11 维超引力。它们的时空具有 AdS_3 x S^3 x S^3 的形式，在黎曼曲面 Sigma 上扭曲。它描述了 M2 膜的近地平线几何形状，该几何形状在 M5 膜上终止或沿着公共弦与 M5 膜相交。 BPS 方程的通解由一组简化的数据 (\gamma, h, G) 指定，其中 \gamma 是等距超代数的实参数，h 和 G 是 \Sigma 上的函数，其微分方程和正则条件仅取决于 \gamma 的符号。 γ 的大小仅通过 h、G 的映射进入超重力场，从而将所有解提升到由 |γ| 参数化的族中。通过分析超重力场的正则性条件，我们证明了两个一般定理：(i) 二维 CFT 对偶的唯一解是 AdS_3 x S^3 x S^3 x R^2，平坦 R^2 的模离散标识，以及 (ii) 该解具有 \gamma 0，但现在提升为由 |\gamma| 参数化的族。我们还构造了新的正则解，对于γ < 0，渐近到 AdS_4/Z_2，并推测它们是自对偶串的不同超共形极限。
We simplify and extend the construction of half-BPS solutions to 11-dimensional supergravity, with isometry superalgebra D(2,1;\gamma) \oplus D(2,1;\gamma). Their space-time has the form AdS_3 x S^3 x S^3 warped over a Riemann surface \Sigma. It describes near-horizon geometries of M2 branes ending on, or intersecting with, M5 branes along a common string. The general solution to the BPS equations is specified by a reduced set of data (\gamma, h, G), where \gamma is the real parameter of the isometry superalgebra, and h and G are functions on \Sigma whose differential equations and regularity conditions depend only on the sign of \gamma. The magnitude of \gamma enters only through the map of h, G onto the supergravity fields, thereby promoting all solutions into families parametrized by |\gamma|. By analyzing the regularity conditions for the supergravity fields, we prove two general theorems: (i) that the only solution with a 2-dimensional CFT dual is AdS_3 x S^3 x S^3 x R^2, modulo discrete identifications of the flat R^2, and (ii) that solutions with \gamma 0, but now promoted to families parametrized by |\gamma|. We also construct exactly new regular solutions which are asymptotic to AdS_4/Z_2 for \gamma < 0, and conjecture that they are a different superconformal limit of the self-dual string.
影响因子：
2.8
作者：
Berman D
通讯作者：
Berman D