Low energy dynamics from deformed conformal symmetry in quantum 4D N = 2 SCFTs

Abstract

We determine the one-loop deformation of the conformal symmetry of a general N}=2 superconformally invariant Yang-Mills theory. The deformation is computed for several explicit examples which have a realization as world-volume theories on a stack of D3 branes. These include (i) N=4 SYM with gauge groups SU(N), USp(2N) and SO(N); (ii) USp(2N) gauge theory with one hypermultiplet in the traceless antisymmetric representation and four hypermultiplets in the fundamental; (iii) quiver gauge theory with gauge group SU(N)xSU(N) and two hypermultiplets in the bifundamental representations (N,\bar N) and (bar N,N). The existence of quantum corrections to the conformal transformations imposes restrictions on the effective action which we study on a subset of the Coulomb branch corresponding to the separation of one brane from the stack. In the N=4 case, the one-loop corrected transformations provide a realization of the conformal algebra; this deformation is shown to be one-loop exact. For the other two models, higher-loop corrections are necessary to close the algebra. Requiring closure, we infer the two-loop conformal deformation.

arXiv comment30 pages, 0 figures

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• Self-dual effective action of N = 4 SYM revisited
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• One-loop effective action for $\mathcal{N}=4$ SYM theory in the hypermultiplet sector - leading low-energy approximation and beyond
• Hypermultiplet dependence of one-loop effective action in the $\mathcal{N}=2$ superconformal theories
• Low-energy effective actions in three-dimensional extended SYM theories
• Relaxed super self-duality and N = 4 SYM at two loops
• On the two-loop four-derivative quantum corrections in 4D N = 2 superconformal field theories
• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• BRST-BV quantization of gauge theories with global symmetries