Extremal and next-to-extremal n-point correlators in four-dimensional SCFT

Eden, Burkhard; Howe, Paul; Sokatchev, E.; West, Peter

doi:10.1016/s0370-2693(00)01181-3

Cited by 57 publications

(88 citation statements)

References 23 publications

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“…This rather rough argument indicates how it can be that the only functions of invariants allowed for in extremal correlators are in fact constant. It is confirmed in more detail in [33] for four points and extended to n points in [34] using N = 2 superfieldsand the reduction formula which also allows one to show that the constant does not depend on the coupling, in a similar fashion to the non-renormalisation theorems for two-and three-point functions. Moreover, it is also possible to show that next-to-extremal correlators, for which p 1 = ( n i=2 p i ) − 2, are also trivial and non-renormalised, and this has been confirmed on the supergravity side [35].…”

Section: Extremal Correlatorssupporting

confidence: 61%

AdS/SCFT in superspace

Howe¹,

West²

2001

Class. Quantum Grav.

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A discussion of the AdS/CFT correspondence in IIB is given in a superspace context. The main emphasis is on the properties of SCFT correlators on the boundary which are studied using harmonic superspace techniques. These techniques provide the easiest way of implementing the superconformal Ward identities. The Ward identities, together with analyticity, can be used to give a compelling argument in support of the non-renormalisation theorems for two-and three-point functions, and to establish the triviality of extremal and next-to-extremal correlation functions. Further simplifications in other correlators are also implied. The OPE is also briefly discussed.

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Section: Extremal Correlatorssupporting

confidence: 61%

AdS/SCFT in superspace

Howe¹,

West²

2001

Class. Quantum Grav.

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“…In that case, the contributions of the mass and the kinetic terms are also separately divergent, but they cancel out leaving only the surface contribution (3.14) 5 . The correlation functions of extremal n-point functions have been well studied both in supergravity theories and in the dual superconformal theories [50,53,54,55].…”

Section: Three-point Functionsmentioning

confidence: 99%

Randall-Sundrum models and the regularized AdS/CFT correspondence

Pérez-Victoria

2001

J. High Energy Phys.

153

136

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It has been proposed that Randall-Sundrum models can be holographically described by a regularized (broken) conformal field theory. We analyze the foundations of this duality using a regularized version of the AdS/CFT correspondence. We compare twoand three-point correlation functions and find the same behaviour in both descriptions. In particular, we show that the regularization of the deformed CFT generates kinetic terms for the sources, which hence can be naturally treated as dynamical fields. We also discuss the counterterms required for two-and three-point correlators in the renormalized AdS/CFT correspondence.

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“…In the analysis for such correlators in four dimensions in analytic superspace [18,20] it was found to be helpful to use the reduction formula [30] which relates N -point functions, differentiated with respect to the coupling, to (N + 1)-point functions with one integrated insertion of the supercurrent. This trick is not available here, but we can still attempt to make a straightforward analysis for four points.…”

Section: Correlation Functionsmentioning

confidence: 99%

Aspects of the D=6, (2,0) tensor multiplet

Howe¹

2001

Physics Letters B

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Some aspects of the D = 6, (2, 0) tensor multiplet are discussed. Its formulation as an analytic superfield on a suitably defined superspace and its superconformal properties are reviewed. Powers of the field strength superfield define a series of superconformal fields which correspond to the KK multiplets of D = 11 supergravity on an AdS 7 ×S 4 background. Correlation functions of these operators are briefly discussed.

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Extremal and next-to-extremal n-point correlators in four-dimensional SCFT

Abstract: It is shown that certain extremal and next-to-extremal n-point correlators in four-dimensional N = 2 superconformal field theories are free. These results hold for any gauge group.

Cited by 57 publications

References 23 publications

AdS/SCFT in superspace

AdS/SCFT in superspace

Randall-Sundrum models and the regularized AdS/CFT correspondence

Aspects of the D=6, (2,0) tensor multiplet

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