304 research outputs found
On a Large N Degeneracy in N=4 SYM and the AdS/CFT Correspondence
We study the four-point correlator of 1/2-BPS operators of weight 4 in N=4
SYM, which are dual to massive KK modes in AdS_5 supergravity. General
field-theoretic arguments lead to a partially non-renormalized form of the
amplitude that depends on two a priori independent functions of the conformal
cross-ratios. We explicitly compute the amplitude in the large N limit at one
loop (order g^2) and in AdS_5 supergravity. Surprisingly, the one-loop result
shows that the two functions determining the amplitude coincide while in the
supergravity regime they are distinctly different. We discuss the possible
implications of this perturbative degeneracy for the AdS/CFT correspondence.Comment: 32 pages, 5 figures, LaTex, the Summary and Conclusions section
extended, references adde
Short representations of SU(2,2/N) and harmonic superspace analyticity
We consider the harmonic superspaces associated to SU(2,2/N) superconformal
algebras. For arbitrary N, we show that massless representations, other than
the chiral ones, correspond to [N/2] ``elementary'' ultrashort analytic
superfields whose first component is a scalar in the k antisymmetric irrep of
SU(N) (k=1... [N/2]) with top spin . For
N=2n we analyze UIR's obtained by tensoring the self-conjugate ultrashort
multiplet = (n/2,0) and show that N-1 different basic
products give rise to all possible UIR's with residual shortening.Comment: references adde
Four-point correlation function of stress-energy tensors in N=4 superconformal theories
We derive the explicit expression for the four-point correlation function of
stress-energy tensors in four-dimensional N=4 superconformal theory. We show
that it has a remarkably simple and suggestive form allowing us to predict a
large class of four-point correlation functions involving the stress-energy
tensor and other conserved currents. We then apply the obtained results on the
correlation functions to computing the energy-energy correlations, which
measure the flow of energy in the final states created from the vacuum by a
source. We demonstrate that they are given by a universal function independent
of the choice of the source. Our analysis relies only on N=4 superconformal
symmetry and does not use the dynamics of the theory.Comment: 31 pages; v2: references adde
(2,0) Superconformal OPEs in D=6, Selection Rules and Non-renormalization Theorems
We analyse the OPE of any two 1/2 BPS operators of (2,0) SCFT by
constructing all possible three-point functions that they can form with
another, in general long operator. Such three-point functions are uniquely
determined by superconformal symmetry. Selection rules are derived, which allow
us to infer ``non-renormalization theorems'' for an abstract superconformal
field theory. The latter is supposedly related to the strong-coupling dynamics
of coincident M5 branes, dual, in the large- limit, to the bulk
M-theory compactified on AdSS. An interpretation of extremal and
next-to-extremal correlators in terms of exchange of operators with protected
conformal dimension is given.Comment: some details correcte
Shortening of primary operators in N-extended SCFT_4 and harmonic-superspace analyticity
We present the analysis of all possible shortenings which occur for composite
gauge invariant conformal primary superfields in SU(2,2/N) invariant gauge
theories. These primaries have top-spin range N/2 \leq J_{max} < N with J_{max}
= J_1 + J_2, (J_1,J_2) being the SL(2,C) quantum numbers of the highest spin
component of the superfield. In Harmonic superspace, analytic and chiral
superfields give J_{max}= N/2 series while intermediate shortenings correspond
to fusion of chiral with analytic in N=2, or analytic with different analytic
structures in N=3,4. In the AdS/CFT language shortenings of UIR's correspond to
all possible BPS conditions on bulk states. An application of this analysis to
multitrace operators, corresponding to multiparticle supergravity states, is
spelled out.Comment: 44 pages, LaTeX; typos corrected, some references adde
A note on four-point correlators of half-BPS operators in N=4 SYM
International audienceWe calculate the four-point correlation function of half-BPS operators withweights 2, 3, 3, 4 in N=4 SYM to two-loop order. The OPE of this correlationfunction provides a nontrivial check of the integrability conjecture for aclass of three-point functions formulated in arXiv:1311.6404. Our perturbativecalculation exploits the supergraph formalism in N=2 harmonic superspace
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