28 research outputs found
Superconformal and Super-BRS Invariance of the N = 1 Supersymmetric WZW Model Based on Lie Superalgebra
We study the superconformal and super-BRS invariance of the supersymmetric
Wess-Zumino-Witten model based on Lie superalgebra. The computation of the
critical super-dimension of this model is done using the Fujikawa
regularization. Finally, we recover the well-known result which fixes the
relative coupling constant a2 = 1 in a rigorous way.Comment: 14 page
Composite fields, generalized hypergeometric functions and the symmetry in the AdS/CFT correspondence
We discuss the concept of composite fields in flat CFT as well as in the
context of AdS/CFT. Furthermore we show how to represent Green functions using
generalized hypergeometric functions and apply these techniques to four-point
functions. Finally we prove an identity of symmetry for four-point
functions.Comment: 12 pages, 2 figure
AdS Box Graphs, Unitarity and Operator Product Expansions
We develop a method of singularity analysis for conformal graphs which, in particular, is applicable to the holographic image of AdS supergravity theory. It can be used to determine the critical exponents for any such graph in a given channel. These exponents determine the towers of conformal blocks that are exchanged in this channel. We analyze the scalar AdS box graph and show that it has the same critical exponents as the corresponding CFT box graph. Thus pairs of external fields couple to the same exchanged conformal blocks in both theories. This is looked upon as a general structural argument supporting the Maldacena hypothesis
Maps between Deformed and Ordinary Gauge Fields
In this paper, we introduce a map between the q-deformed gauge fields defined
on the GL-covariant quantum hyperplane and the ordinary gauge fields.
Perturbative analysis of the q-deformed QED at the classical level is presented
and gauge fixing la BRST is discussed. An other star product
defined on the hybrid % -plane is explicitly constructed .Comment: 10 page
q-deformed conformal correlation functions
A q-analogue of four dimensional conformally invariant field theory based on
the quantum algebra U_{q}(so(4,2)) is proposed. The two- and three-point
correlation functions are calculated. The construction is elaborated in order
to fit the Hopf algebra structure.Comment: 13 pages, minor corrections, Journal-ref adde
Conformal partial wave analysis of AdS amplitudes for dilaton-axion four-point functions
Operator product expansions are applied to dilaton-axion four-point
functions. In the expansions of the bilocal fields ,
and , the conformal fields which
are symmetric traceless tensors of rank and have dimensions or
and are identified. The
unidentified fields have dimension with . The anomalous dimensions are calculated at order
for both and and are found to be the same, proving
symmetry. The relevant coupling constants are given at order .Comment: 27 pages, 1 graph, 12 figures, Corrections in eqns. (1.10), (1.11