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arXiv 1302.5534hep-th
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M2/D2-Branes上作为瞬子的边缘涨落

Marginal Fluctuations as Instantons on M2/D2-Branes

M. Naghdi

备注：
21 pages, main structure unchanged, some discussions and references added mainly in the last section, title changed slightly, some typos fixed
发表信息：
Eur. Phys. J. C 74, 2826 (2014)
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摘要：

我们在AdS_4 x M^（7/6）空间上引入了一些（反）M/D-膜，通过打开11维和10维超引力理论的相应场强，其中我们使用S^7/Z_k和CP^3作为内部空间。事实上，当我们在Aharony-Bergman-Jafferis-Maldacena模型的近视界膜的相同方向上添加M2/D2-膜时，所有的对称性和超对称性都被平凡地保留了。在这种情况下，我们得到了一个位于视界中的定域物体。这种可归一化的体无质量标量模是SO（8）和SU（4）× U（1）的单态，并且与共形维数Δ +=3的边缘边界算子一致。然而，在进行了一个特殊的保角变换后，我们看到解是局部化在欧几里得化的AdS_4空间中的，并且归因于所包含的反M2/D2-膜，这也是确保没有反反应所必需的。由此产生的理论现在打破了所有N= 8，6的超对称N=0，而其他对称是如此保存。对偶边界算子则分别从超荷和标量的表示8_s和8_v的斜向摆动建立，而费米子保持固定在原始理论的8_c中。此外，我们还提出了另一种替代的体-边界匹配方法，即在与AdS_5/CFT_4对应中所面临的类似情况相同的线上打开全U（N）_k × U（N）_-k规范群中的一个规范场。后一种方法也涵盖了k= 1，2的体边界匹配过程已经面临的困难。

英文摘要：

We introduce some (anti)M/D-branes through turning on the corresponding field strengths of the eleven- and ten-dimensional supergravity theories over AdS_4 x M^(7/6) spaces, where we use S^7/Z_k and CP^3 for the internal spaces. Indeed, when we add M2/D2-branes on the same directions with the near horizon branes of Aharony-Bergman-Jafferis-Maldacena model, all symmetries and supersymmetries are preserved trivially. In the case, we gain a localized object just in the horizon. This normalizable bulk massless scalar mode is a singlet of SO(8) and SU(4)x U(1), and agrees with a marginal boundary operator of the conformal dimension of Δ_+=3. However, after performing a special conformal transformation, we see that the solution is localized in the Euclideanized AdS_4 space and is attributable to the included anti-M2/D2-branes, which are also necessary to ensure that there is no backreaction. The resultant theory now breaks all N=8,6 supersymmetries to N=0 while other symmetries are so preserved. The dual boundary operator then sets up from the skew-whiffing of the representations 8_s and 8_v for the supercharges and scalars respectively, while the fermions remain fixed in 8_c of the original theory. Besides, we also address another alternate bulk to boundary matching procedure through turning on one of the gauge fields of the full U(N)_k x U(N)_-k gauge group in the same lines with the similar situation faced in AdS_5/CFT_4 correspondence. The latter approach covers the difficulty already faced with of the bulk-boundary matching procedure for k=1,2 as well.

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