323 citations · 467 across the 4 of their papers we have counts for
7 papers
Reparameterisation Invariance and RG equations: Extension of the Local Potential Approximation
H. Osborn, D. E. Twigg
Equations related to the Polchinski version of the exact renormalisation group equations for scalar fields which extend the local potential approximation to first order in a deriva…
Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
F. A. Dolan, H. Osborn
The results of Romelsberger for a N=1 superconformal index counting protected operators, satisfying a BPS condition and which cannot be combined to form long multiplets, are analys…
N=4 Superconformal Characters and Partition Functions
M. Bianchi, F. A. Dolan, P. J. Heslop +1
Character formulae for positive energy unitary representations of the N=4 superconformal group are obtained through use of reduced Verma modules and Weyl group symmetry. Expansions…
Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions
F. A. Dolan, M. Nirschl, H. Osborn
An expression for the four point function for half-BPS operators belonging to the [0,p,0] SU(4) representation in N=4 superconformal theories at strong coupling in the large N limi…
Conformal Partial Wave Expansions for N=4 Chiral Four Point Functions
F. A. Dolan, H. Osborn
The conformal partial wave analysis of four point functions of half BPS operators belonging to the SU(4) [0,p,0] representation is undertaken for p=2,3,4. Using the results of N=4…
Local Couplings and Sl(2,R) Invariance for Gauge Theories at One Loop
Hugh Osborn
The response of the one loop effective action for a gauge theory with local couplings under a local Weyl rescaling of the background metric is calculated. Apart from te…