A Critical behavior of anomalous currents, electric - magnetic universality and CFT in four-dimensions
Jan, 199631 pages
Published in:
- Nucl.Phys.B 491 (1997) 221-248
e-Print:
- hep-th/9601023 [hep-th]
Report number:
- HUTP-95-A048,
- BRX-TH-388
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Abstract:
We discuss several aspects of conformal field theories in four dimensions (CFT), in the context of electric-magnetic duality. We analyse the behaviour of anomalous currents under RG flow to a conformal fixed point in , supersymmetric gauge theories and we extend the duality map to non-chiral operators. We compute the anomalous dimension of the Konishi current and find that it is related to the slope of the beta function at the critical point. This fact can be combined with electric-magnetic duality to establish a universality of the subleading behaviour of the non-critical theory near the critical point. As a byproduct we compute the slope of the beta function in the strong coupling regime. We study some basic features of CFT. We note that the OPE of with itself does not close, but mixes with a special additional operator which in the free supersymmetric case is the Konishi current. We also observe that there are {\sl two} central charges; they allow us to count both the vector multiplet and the matter multiplet effective degrees of freedom. We discuss implications in generic interacting CFT's, in particular the fact that CFT seems to be naturally equipped with a privileged off-critical deformation .- 11.30.Pb
- 11.25.Hf
- 11.10.Hi
- 11.15.-q
- Duality
- Anomalies
- Supersymmetry
- Renormalization group
- CFT
- gauge field theory: SU(N)
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