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

Howe, Paul

doi:10.1016/s0370-2693(00)01304-6

Cited by 13 publications

(5 citation statements)

References 40 publications

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“…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]. Similar results have been shown in M-theory on AdS 7(4) × S 4 (7) [37] and seem also to be true on the field theory side in D = 6(2, 0) SCFT [36].…”

Section: Extremal Correlatorssupporting

confidence: 72%

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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: 72%

“…To see this explicitly consider the OPE for two T 's in analytic superspace. Looking again at single contractions we shall have a term T (1)T (2) ∼ g 12 W (1)W (2) (36) but now we regard the W 's as functions of the analytic coordinates. We can now make a Taylor expansion about point 2 in all the coordinates.…”

Section: -Point Functionsmentioning

confidence: 99%

AdS/SCFT in superspace

Howe¹,

West²

2001

Class. Quantum Grav.

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“…Another application would be to superconformal field theories in other spacetime dimensions, particularly D = 6, (2, 0) and D = 3, N = 8 SCFT. In a recent paper [48] it has been shown that there are also protected series A operators in D = 6, (2, 0) and this has been used to give a proof of the triviality of certain extremal correlators studied on the AdS side in [49] and in analytic superspace in [50].…”

Section: Discussionmentioning

confidence: 98%

OPEs and 3-point correlators of protected operators in N=4 SYM

Heslop

Howe

2002

Nuclear Physics B

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Two-and three-point correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the n-point functions of protected operators for n ≤ 4 are invariant under U (1) Y and it is argued that this implies that the two-and three-point functions are not renormalised. It is shown explicitly how unprotected operators can be accommodated in the analytic superspace formalism in a way which is fully compatible with analyticity. Some new extremal correlators are exhibited.

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“…the solution of the superconformal Ward identities is much more involved. Nevertheless much impressive work has been done computing half BPS correlators in the 6d theory [198][199][200][201][202][203][204][205][206][207][208][209][210][211][212][213] as well as the 3d theory [214][215][216][217] and the one loop quantum gravity corrections to the four-point supergravity amplitude on AdS 7 × S 4 and AdS 4 × S 7 (or their Z 2 orbifolds) have even been computed [210,217] overcoming a number of these technical difficulties.…”

Section: Discussionmentioning

confidence: 99%

The SAGEX review on scattering amplitudes Chapter 8: Half BPS correlators

Heslop

2022

J. Phys. A: Math. Theor.

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Half BPS correlators in N=4 super Yang-Mills theory are key quantities both in the AdS/CFT correspondence as well as in scattering amplitudes research. They are dual at strong coupling to quantum gravity amplitudes. At weak coupling on the other hand they contain all N=4 SYM amplitudes. They have been found to possess a number of hidden symmetries, for example non-trivial permutation symmetry of perturbative four-point integrands and a higher dimensional conformal symmetry. Their study has enjoyed continuous progress since the discovery of AdS/CFT and they are now some of the best understood quantities of any four-dimensional quantum field theory. In this review we outline the current knowledge of half BPS correlators, emphasising these two co-existing relations to scattering amplitudes at strong and weak coupling.

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

Cited by 13 publications

References 40 publications

AdS/SCFT in superspace

AdS/SCFT in superspace

OPEs and 3-point correlators of protected operators in N=4 SYM

The SAGEX review on scattering amplitudes Chapter 8: Half BPS correlators

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