3 research outputs found
Nonholomorphic N=2 terms in N=4 SYM: 1-Loop Calculation in N=2 superspace
The effective action of N=2 gauge multiplets in general includes
higher-dimension UV finite nonholomorphic corrections integrated with the full
N=2 superspace measure. By adding a hypermultiplet in the adjoint
representation we study the effective action of N=4 SYM. The nonanomalous SU(4)
R-symmetry of the classical N=4 theory must be also present in the on-shell
effective action, and therefore we expect to find similar nonholomorphic terms
for each of the scalars in the hypermultiplet. The N=2 path integral
quantization formalism developed in projective superspace allows us to compute
these hypermultiplet nonholomorphic terms directly in N=2 superspace. The
corresponding gauge multiplet expression can be successfully compared with the
result inferred from a N=1 calculation in the abelian subsector.Comment: 12 pages, LaTex, includes 4 .eps figures, sign convention in path
integral definition changed, sign of nonholomorphic potential change
Calculation of Four Point Correlation Function of Logarithmic Conformal Field Theory Using AdS/CFT Correspondence
We use the correspondence between scalar field theory on AdS and induced
conformal field theory on its boundary to calculate correlation functions of
logarithmic conformal field theory in arbitrary dimensions.Our calculations
utilize the newly proposed method of nilpotent weights.We derive expressions
for the four point function assuming a generic interaction termComment: 7 pages, no figure
Correlation Functions and AdS/LCFT Correspondence
Correlation functions of Logarithmic conformal field theory is investigated
using the ADS/CFT correspondence and a novel method based on nilpotent weights
and 'super fields'. Adding an specific form of interaction, we introduce a
perturbative method to calculate the correlation functions.Comment: 11 pages, 4 figure