Explanation of the central charge ratio 27/32 in four-dimensional renormalization group flows between superconformal theories.
Explanation of the central charge ratio 27/32 in four-dimensional renormalization group flows between superconformal theories.
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四维重正化群中中心电荷比27/32在超共形理论之间流动的解释。
DOI：
10.1103/physrevlett.103.061601
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发表时间：
2009
影响因子：
8.6
通讯作者：
B. Wecht
中科院分区：
文献类型：
--
作者：
Y. Tachikawa;B. Wecht
我们证明了当四维N = 2超共形场论（SCFT）通过在边缘耦合的矢量多重态中给伴随手征超场一个质量流到N = 1 SCFT时，只要在红外区不存在偶然对称性，N = 2理论的中心电荷a和c与N = 1理论的中心电荷a和c通过普适线性变换相关联.在大N极限下，中心电荷服从a_{IR}/a_{UV} = c_{IR}/c_{UV} = 27/32。这给出了一个物理解释，许多例子，这个数字在文献中发现，也表明存在一个流动之间的一些理论以前没有被认为是连接。
We show that when a four-dimensional N = 2 superconformal field theory (SCFT) flows to an N = 1 SCFT via giving a mass to the adjoint chiral superfield in a vector multiplet with marginal coupling, the central charges a and c of the N = 2 theory are related to those of the N = 1 theory by a universal linear transformation as long as there are no accidental symmetries in the infrared. In the large N limit, this relationship implies that the central charges obey a_{IR}/a_{UV} = c_{IR}/c_{UV} = 27/32. This gives a physical explanation to many examples of this number found in the literature, and also suggests the existence of a flow between some theories not previously thought to be connected.