New Results on the "$a$-theorem" in Four Dimensional Supersymmetric Field Theory
New Results on the "$a$-theorem" in Four Dimensional Supersymmetric Field Theory
复制标题
四维超对称场论“$a$定理”的新结果
DOI：
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发表时间：
2003
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通讯作者：
D. Kutasov
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文献类型：
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作者：
D. Kutasov
在四维N=1超对称场论中，在红外不动点处成为超共形代数一部分的$U(1)_R$流在整个重整化群(RG)流中是守恒的。我们证明了当这种情况发生时，中心电荷$a$在RG流下减小。我们使用的主要工具是从RG的固定点出发，扩展最近关于`$a$-最大化‘的想法。这一推广在研究超对称理论中的RG流时更为普遍。
In four dimensional N=1 supersymmetric field theory it is often the case that the $U(1)_R$ current that becomes part of the superconformal algebra at the infrared fixed point is conserved throughout the renormalization group (RG) flow. We show that when that happens, the central charge $a$ decreases under RG flow. The main tool we employ is an extension of recent ideas on ``$a$-maximization' away from fixed points of the RG. This extension is useful more generally in studying RG flows in supersymmetric theories.