我们从描述AdS_4 x S^7/ Z_k上单个M2-膜的经典作用量出发，考虑了围绕一个静态的1/2 BPS组态（其形状为AdS_2 x S^1）的半经典涨落。内流形S^7/ Z_k被描述为CP ^3上的U（1）纤维化，静态构形被包裹在U（1）纤维上。然后通过对S^1的Kaluza-Klein约化，将该构型约化为AdS_4 × CP^3上IIA型弦的AdS_2世界单。结果表明，当k= 1，2时，这些涨落在AdS_2上形成一个N=1的超多重态的无限集合.该集合在SO（8）下是不变的，这可能与AdS_2上的N=8超对称性一致.讨论了AdS_2边界附近涨落的行为及其与威尔逊圈算子形变的关系。
英文摘要：
We start from the classical action describing a single M2-brane on AdS_4 x S^7/ Z_k and consider semiclassical fluctuaitions around a static, 1/2 BPS configuration whose shape is AdS_2 x S^1. The internal manifold S^7/ Z_k is described as a U(1) fibration over CP^3 and the static configuration is wrapped on the U(1) fiber. Then the configuration is reduced to an AdS_2 world-sheet of type IIA string on AdS_4 x CP^3 through the Kaluza-Klein reduction on the S^1. It is shown that the fluctuations form an infinite set of N=1 supermultiplets on AdS_2, for k=1,2. The set is invariant under SO(8) which may be consistent with N=8 supersymmetry on AdS_2. We discuss the behavior of the fluctuations around the boundary of AdS_2 and its relation to deformations of Wilson loop operator.
We obtain explicit formulas for the eight bosonic and eight fermionic fluctuations around the mixed-flux generalization of the Hofman-Maldacena giant magnon on AdS$_3 \times$S$^3 \times$T$^4$ and AdS$_3 \times$S$^3 \times$S$^3 \times$S$^1$. As a check of our results, we confirm that the semiclassical quantization of these fluctuations leads to a vanishing one-loop correction to the magnon energy, as expected from symmetry based arguments.
We compute structure constants in three-point functions of three string states in AdS_4 x CP^3 in the framework of the semiclassical approach. We consider HHL correlation functions where two of the states are "heavy" string states of finite-size giant magnons carrying one or two angular momenta and the other one corresponds to such "light" states as dilaton operators with non-zero momentum, primary scalar operators, and singlet scalar operators with higher string levels.
Nonstatic AdS_2 Branes and the Isometry Group of AdS_3 Spacetime
对于SL（2，R）WZW模型上的D-膜，我们给出了一个特殊的外自同构的选择，导致一个特殊的AdS_2膜配置的电流的粘合条件。这种构形在柱坐标系下是一个静态解，在庞加莱坐标系下是D弦的Dirac Born Infeld作用量的非线性运动方程的非静态解.它的推广给出了一族非静态AdS_2膜解。它们在AdS_3时空的等距群下相互转化。
In the background of a charged AdS dilaton black hole, we investigate the movement of a self-graviting 3-brane and relevant holographic effects as the brane move close to the AdS boundary. The induced metric on brane corresponds to an exact FLRW geometry, while the evolution of brane is determined by Israel junction condition and the effective Einstein field equation on brane together. When the brane approaches the AdS boundary, AdS/CFT correspondence implies that a radiation dominated FLRW-universe ($P=\frac{1}{3}ρ$) should be given. According to the holographic renormalization procedure, we …
我们进一步研究了在AdS_{4/7} x S^{7/4}背景下的开放超膜。开超膜可以有M5-膜和9-膜作为Dirichlet膜。在AdS和pp-波的情况下，Dirichlet膜的构型是受限制的。在hep-th/0310035中给出了一种可能的狄利克雷膜的分类，该分类直到并包括费米子变量的四阶，即使在全阶的情况下也是有效的。我们还讨论了AdS_{4/7} x S^{7/4}上的开M5-膜.
In six- and seven-dimensional gauged supergravity, each scalar potential has one supersymmetric and one non-supersymmetric fixed points. The non-supersymmetric $AdS_7$ fixed point is perturbatively unstable. On the other hand, the non-supersymmetric $AdS_6$ fixed point is known to be perturbatively stable. In this note we examine the newly proposed non-perturbative decay channel, called brane-jet instabilities of the $AdS_6$ and $AdS_7$ vacua. We find that when they are uplifted to massive type IIA and eleven-dimensional supergravity, respectively, the non-supersymmetric $AdS_6$ and $AdS_7$ va…
We show that the first $AdS_6$ backgrounds in Type IIB supergravity known in the literature, namely those constructed via T-duality from the Brandhuber-Oz solution to massive IIA, fit within an extension of the global $AdS_6 \times S^2$ solutions with 7-branes warped over a Riemann surface $Σ$, recently classified by D'Hoker, Gutperle and Uhlemann, that describes delocalised 5-branes and 7-branes. The solution constructed through Abelian T-duality provides an explicit example of a Riemann surface with the topology of an annulus, that includes D7/O7-branes. In turn, the solution generated throu…
