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

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We determine the one-loop deformation of the conformal symmetry of a general 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) 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)×SU(N) and two hypermultiplets in the bifundamental representations and . 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 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.
Original languageEnglish
Pages (from-to)131-155
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - 2003


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