Five dimensional O(N) -symmetric CFTs from conformal bootstrap
Five dimensional O(N) -symmetric CFTs from conformal bootstrap
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来自共形自举的五维 O(N) 对称 CFT
DOI：
10.1016/j.physletb.2014.05.058
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Tomoki Ohtsuki
中科院分区：
文献类型：
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作者：
Yu Nakayama;Tomoki Ohtsuki
我们研究了五个维度上O（N）对称CFTs的共形引导方法，特别强调了当前中心电荷的下限。对于所有N> 1，该界都有一个局部极小值，在大N极限下，我们提出该极小值在UV不动点处被临界O（N）向量模型饱和，Fei，Giombi和Klebanov最近论证了该极小值的存在性。当N较小时，最小值的位置一般与能量动量张量中心电荷下界的最小值不同。为了更好地理解这种情况，我们研究了三维O（N）对称CFTs的当前中心电荷的下界进行比较。我们发现类似的协议在大N限制，但较小的N与其他部门的共形引导的差异。
We investigate the conformal bootstrap approach to O (N) symmetric CFTs in five dimensions with particular emphasis on the lower bound on the current central charge. The bound has a local minimum for all N> 1, and in the large N limit we propose that the minimum is saturated by the critical O (N) vector model at the UV fixed point, the existence of which has been recently argued by Fei, Giombi, and Klebanov. The location of the minimum is generically different from the minimum of the lower bound of the energy–momentum tensor central charge when it exists for smaller N. To better understand the situation, we examine the lower bounds of the current central charge of O (N) symmetric CFTs in three dimensions to compare. We find the similar agreement in the large N limit but the discrepancy for smaller N with the other sectors of the conformal bootstrap.