Francis Dolan

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Possible short and semi-short representations for N = 2 and N = 4 superconformal symmetry in four dimensions are discussed. For N = 4 the well known short supermultiplets whose lowest dimension conformal primary operators correspond to 1 2 -BPS or 1 4 -BPS states and are scalar fields belonging to the SU(4)r symmetry representations [0, p, 0] and [q, p, q](More)
We study four-point correlation functions of 12 -BPS operators in N = 4 SYM which are dual to massive KK modes in AdS5 supergravity. On the field theory side, the procedure of inserting the SYM action yields partial non-renormalisation of the four-point amplitude for such operators. In particular, if the BPS operators have dimensions equal to three or four,(More)
The results of Römelsberger for a N = 1 superconformal index counting protected operators, satisfying a BPS condition and which cannot be combined to form long multiplets, are analysed further. The index is expressible in terms of single particle superconformal characters for N = 1 scalar and vector multiplets. For SQCD, involving SU(Nc) gauge groups and(More)
We study the N = 2 four-dimensional superconformal index in various interesting limits, such that only states annihilated by more than one supercharge contribute. Extrapolating from the SU(2) generalized quivers, which have a Lagrangian description, we conjecture explicit formulae for all A-type quivers of class S, which in general do not have one. We test(More)
Superconformal transformations are derived for the N = 2, 4 supermultiplets corresponding to the simplest chiral primary operators. These are applied to two, three and four point correlation functions. When N = 4, results are obtained for the three point function of various descendant operators, including the energy momentum tensor and SU(4) current. For(More)
The free field partition function for a generic U(N) gauge theory, where the fundamental fields transform in the adjoint representation, is analysed in terms of symmetric polynomial techniques. It is shown by these means how this is related to the cycle polynomial for the symmetric group and how the large N result may be easily recovered. Higher order(More)