Central charges of ? = 2 superconformal field theories in four dimensions
Central charges of ? = 2 superconformal field theories in four dimensions
复制标题
? = 2 个四维超共形场论的中心电荷
DOI：
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发表时间：
2008
影响因子：
5.4
通讯作者：
Yuji Tachikawa
中科院分区：
文献类型：
--
作者：
A. Shapere;Yuji Tachikawa
We present a general method for computing the central charges a and c of N=2 superconformal field theories corresponding to singular points in the moduli space of N=2 gauge theories. Our method relates a and c to the U(1)_R anomalies of the topologically twisted gauge theory. We evaluate these anomalies by studying the holomorphic dependence of the path integral measure on the moduli. We calculate a and c for superconformal points in a variety of gauge theories, including N=4 SU(N), N=2 pure SU(N) Yang-Mills, and USp(2N) with 1 massless antisymmetric and 4 massive fundamental hypermultiplets. In the latter case, we reproduce the conformal and flavor central charges previously calculated using the gravity duals of these gauge theories. For any SCFT in the class under consideration, we derive a previously conjectured expression for 2a-c in terms of the sum of the dimensions of operators parameterizing the Coulomb branch. Finally, we prove that the ratio a/c is bounded above by 5/4 and below by 1/2.
