A Massive Study of M2-brane Proposals
A Massive Study of M2-brane Proposals
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DOI：
10.1088/1126-6708/2008/09/113
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发表时间：
2008-07
期刊：
影响因子：
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通讯作者：
J. Gomis;D. Rodríguez-Gómez;M. Raamsdonk;H. Verlinde
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文献类型：
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作者：
J. Gomis;D. Rodríguez-Gómez;M. Raamsdonk;H. Verlinde
我们通过研究M2膜的最大超对称质量形变来检验对世界体积理论的建议。我们检验了质量变形理论在N个M2膜上的最简单的预言：在N上应该有一组与分区一一对应的离散真空。对于质量变形的洛伦兹三代数理论，我们只发现了一个经典真空，这使人们对它的M2膜的解释产生了怀疑。对于质量形变的ABJM理论，我们确实找到了一组离散的解，但这些解的数量比预测的要多。我们讨论了这一令人费解的差异的可能解决方案。我们认为，质量形变ABJM理论的经典真空解表现出模糊三球的性质，正如它们的引力对偶解释所预期的那样。
We test the proposals for the worldvolume theory of M2-branes by studying its maximally supersymmetric mass-deformation. We check the simplest prediction for the mass-deformed theory on N M2-branes: that there should be a set of discrete vacua in one-to-one correspondence with partitions on N. For the mass-deformed Lorentzian three-algebra theory, we find only a single classical vacuum, casting doubt on its M2-brane interpretation. For the mass-deformed ABJM theory, we do find a discrete set of solutions, but these are more numerous than predicted. We discuss possible resolutions of this puzzling discrepancy. We argue that the classical vacuum solutions of the mass-deformed ABJM theory display properties of fuzzy three-spheres, as expected from their gravitational dual interpretation.