4,778 research outputs found
(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
The Wheel of Business Model Reinvention: How to Reshape Your Business Model and Organizational Fitness to Leapfrog Competitors
In today's rapidly changing business landscapes, new sources of sustainable competitive advantage can often only be attained from business model reinvention, based on disruptive innovation and not incremental change or continuous improvement. Extant literature indicates that business models and their reinvention have recently been the focus of scholarly investigations in the field of strategic management, especially focusing on the search for new bases of building strategic competitive advantage, not only to outperform competitors but to especially leapfrog them into new areas of competitive advantage. While the available results indicate that progress is being made on clarifying the nature and key dimensions of business models, relatively little guidance of how to reshape business models and its organizational fitness dimensions have emerged. This article presents a systemic framework for business model reinvention, illustrates its key dimensions, and proposes a systemic operationalization process. Moreover, it provides a tool that helps organizations to evaluate both existing and proposed new business models.
Operator mixing in N=4 SYM: The Konishi anomaly revisited
In the context of the superconformal N=4 SYM theory the Konishi anomaly can
be viewed as the descendant of the Konishi multiplet in the 10 of
SU(4), carrying the anomalous dimension of the multiplet. Another descendant
with the same quantum numbers, but this time without anomalous
dimension, is obtained from the protected half-BPS operator (the
stress-tensor multiplet). Both and are renormalized mixtures
of the same two bare operators, one trilinear (coming from the superpotential),
the other bilinear (the so-called "quantum Konishi anomaly"). Only the operator
is allowed to appear in the right-hand side of the Konishi anomaly
equation, the protected one does not match the conformal properties of
the left-hand side. Thus, in a superconformal renormalization scheme the
separation into "classical" and "quantum" anomaly terms is not possible, and
the question whether the Konishi anomaly is one-loop exact is out of context.
The same treatment applies to the operators of the BMN family, for which no
analogy with the traditional axial anomaly exists. We illustrate our abstract
analysis of this mixing problem by an explicit calculation of the mixing matrix
at level g^4 ("two loops") in the supersymmetric dimensional reduction scheme.Comment: 28 pp LaTeX, 3 figure
Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM_4
We show that certain classes of apparently unprotected operators in N=4 SYM_4
do not receive quantum corrections as a consequence of a partial
non-renormalization theorem for the 4-point function of chiral primary
operators. We develop techniques yielding the asymptotic expansion of the
4-point function of CPOs up to order O(\lambda^2) and we perform a detailed OPE
analysis. Our results reveal the existence of new non-renormalized operators of
approximate dimension 6.Comment: an error in Sect. 4 corrected; references adde
- …