Supersymmetric states in M5/M2 CFTs
Supersymmetric states in M5/M2 CFTs
复制标题
M5/M2 CFT 中的超对称态
DOI：
10.1088/1126-6708/2007/12/004
复制
发表时间：
2007
影响因子：
5.4
通讯作者：
Shiraz Minwalla
中科院分区：
文献类型：
--
作者：
Sayantani Bhattacharyya;Shiraz Minwalla
我们提出了N个重合M5膜世界体积的共形场论中1/4 BPS态和N个重合M2膜理论中1/8 BPS态的配分函数的精确、有限N公式。我们通过对这些理论的库仑分支进行径向量子化得到了我们的配分函数，并从AdS7 × S4和AdS4 × S7中的超对称巨引力子和对偶巨引力子的量子化中重新导出了同样的公式。我们的配分函数在性质上类似于= 4杨米尔斯中的类似量。它在低能量下简化为超对称多重引力子的总和，但在能量为N的正幂时偏离了这个超引力公式。
We propose an exact, finite N formula for the partition function over 1/4th BPS states in the conformal field theory on the world volume of N coincident M5 branes, and 1/8th BPS states in the theory of N conincident M2 branes. We obtain our partition function by performing the radial quantization of the Coulomb Branches of these theories and rederive the same formula from the quantization of supersymmetric giant and dual giant gravitons in AdS7 × S4 and AdS4 × S7. Our partition function is qualitatively similar to the analogous quantity in = 4 Yang Mills. It reduces to the sum over supersymmetric multi gravitons at low energies, but deviates from this supergravity formula at energies that scale like a positive power of N.