Quantum metamorphosis of conformal symmetry in N = 4 super Yang-Mills theory

Abstract

In gauge theories, not all rigid symmetries of the classical action can be maintained manifestly in the quantization procedure, even in the absence of anomalies. If this occurs for an anomaly-free symmetry, the effective action is invariant under a transformation that differs from its classical counterpart by quantum corrections. As shown by Fradkin and Palchik years ago, such a phenomenon occurs for conformal symmetry in quantum Yang-Mills theories with vanishing beta function, such as the N = 4 super Yang-Mills theory. More recently, Jevicki et al demonstrated that the quantum metamorphosis of conformal symmetry sheds light on the nature of the AdS/CFT correspondence. In this paper, we derive the conformal Ward identity for the bosonic sector of the N = 4 super Yang-Mills theory using the background field method. We then compute the leading quantum modification of the conformal transformation for a specific Abelian background which is of interest in the context of the AdS/CFT correspondence. In the case of scalar fields, our final result agrees with that of Jevicki et al. The resulting vector and scalar transformations coincide with those which are characteristic of a D3-brane embedded in AdS5 x S5.

20 pages, latex, no figures; comments and references added, the final version to appear in NPB, the title changed on referee's request

References in corpus (4)

• Two-loop N=4 Super Yang Mills effective action and interaction between D3-branes
• Effective action of N = 4 super Yang-Mills: N = 2 superspace approach
• Hypermultiplet effective action: N = 2 superspace approach
• Goldstone multiplet for partially broken superconformal symmetry

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• Relaxed super self-duality and N = 4 SYM at two loops
• Low energy dynamics from deformed conformal symmetry in quantum 4D N = 2 SCFTs
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• BRST-BV quantization of gauge theories with global symmetries
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