On the Spectrum of PP-Wave Matrix Theory
On the Spectrum of PP-Wave Matrix Theory
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PP波矩阵理论的谱
DOI：
10.1016/s0550-3213(02)00738-1
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
J. Plefka
中科院分区：
文献类型：
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作者：
Nakwoo Kim;J. Plefka
我们研究了最近提出的 DLCQ M 理论矩阵模型在平行平面 (pp) 波背景下的频谱。与平坦背景中的矩阵理论相反，该模型包含质量项，它提升了势的平坦方向并使其频谱离散。该模型的超对称代数将能量本征态分组为超多重态，其成员因固定能量而异，与 AdS 空间中超对称性的表示非常相似。有一个独特且精确的零能量基态以及许多长和短的激发态多重态。对于大质量，量子力学模型可以进行微扰处理，我们研究第一激发态到第二级的主阶能量变化。最有趣的是，我们在第二级发现了一个受保护的短多重态，其能量不接受微扰校正。此外，我们推测 pp 波矩阵模型中存在无限级数的相似保护多重态。
We study the spectrum of the recently proposed matrix model of DLCQ M-theory in a parallel plane (pp)-wave background. In contrast to matrix theory in a flat background this model contains mass terms, which lift the flat directions of the potential and renders its spectrum discrete. The supersymmetry algebra of the model groups the energy eigenstates into supermultiplets, whose members differ by fixed amounts of energy in great similarity to the representation of supersymmetry in AdS spaces. There is a unique and exact zero-energy groundstate along with a multitude of long and short multiplets of excited states. For large masses the quantum mechanical model may be treated perturbatively and we study the leading order energy shifts of the first excited states up to level two. Most interestingly we uncover a protected short multiplet at level two, whose energies do not receive perturbative corrections. Moreover, we conjecture the existence of an infinite series of similar protected multiplets in the pp-wave matrix model.