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Freedman, Daniel Z.; Mathur, Samir D.; Matusis, Alec; Rastelli, Leonardo, E-mail: dzf@math.mit.edu, E-mail: me@ctpdown.mit.edu, E-mail: alec-m@ctp.mit.edu, E-mail: rastelli@ctp.mit.edu1999
AbstractAbstract
[en] Conformal techniques are applied to the calculation of integrals on AdSd+1 space which define correlators of composite operators in the superconformal field theory on the d-dimensional boundary. The 3-point amplitudes for scalar fields of arbitrary mass and gauge fields in the AdS supergravity are calculated explicitly. For three gauge fields we compare in detail with the known conformal structure of the SU(4) flavor current correlator < JiaJjbJkc> of the N = 4, d = 4 SU(N) SYM theory. Results agree with the free field approximation as would be expected from superconformal non-renormalization theorems. In studying the Ward identity relating < JiaOIOJ> to < OIOJ> for (non-marginal) scalar composite operators OI, we find that there is a subtlety in obtaining the normalization of < OIOJ> from the supergravity action integral
Primary Subject
Source
S055032139900053X; Copyright (c) 1999 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: Germany
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Journal Article
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ACTION INTEGRAL, AMPLITUDES, CONFORMAL INVARIANCE, CORRELATION FUNCTIONS, FIELD OPERATORS, FOUR-DIMENSIONAL CALCULATIONS, INTEGRAL CALCULUS, INTERMEDIATE VECTOR BOSONS, MANY-DIMENSIONAL CALCULATIONS, RENORMALIZATION, REST MASS, SPACE-TIME, STRING MODELS, SU-4 GROUPS, SUPERGRAVITY, SUPERSYMMETRY, UNIFIED GAUGE MODELS, VECTOR FIELDS, WARD IDENTITY, YANG-MILLS THEORY
BOSONS, COMPOSITE MODELS, ELEMENTARY PARTICLES, EXTENDED PARTICLE MODEL, FIELD THEORIES, FUNCTIONS, INTEGRALS, INTERMEDIATE BOSONS, INVARIANCE PRINCIPLES, LIE GROUPS, MASS, MATHEMATICAL MODELS, MATHEMATICAL OPERATORS, MATHEMATICS, PARTICLE MODELS, QUANTUM FIELD THEORY, QUANTUM OPERATORS, QUARK MODEL, SU GROUPS, SYMMETRY, SYMMETRY GROUPS, UNIFIED-FIELD THEORIES
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