AdS/SCFT in superspace

Howe, Paul; West, Peter

doi:10.1088/0264-9381/18/16/305

Cited by 19 publications

(42 citation statements)

References 59 publications

(109 reference statements)

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“…(5.4) satisfy these constraints. Note that from equation (5.12) it is straightforward to deduce that the θ = 0 component of H (s,s) is a spin s conserved current in the free theory: For s = 0 the superfield H (0,0) = K := T r(W I W I ) satisfies a generalized linearity constraint [38,40] 1 4D…”

Section: Freementioning

confidence: 99%

More on ``La Grande Bouffe'': towards higher spin symmetry breaking in AdS

Bianchi

Heslop

Riccioni

2005

J. High Energy Phys.

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We discuss higher spin gauge symmetry breaking in AdS space from a holographic prespective. Indeed, the AdS/CFT correspondence implies that N = 4 SYM theory at vanishing coupling constant is dual to a theory in AdS which exhibits higher spin gauge symmetry enhancement. When the SYM coupling is non-zero, the current conservation condition becomes anomalous, and correspondingly the local higher spin symmetry in the bulk gets spontaneously broken. In agreement with previous results and holographic expectations, we find that the Goldstone mode responsible for the symmetry breaking in AdS has a non-vanishing mass even in the limit in which the gauge symmetry is restored. Moreover, we show that the mass of the Goldstone mode is exactly the one predicted by the correspondence. Finally, we obtain the precise form of the higher spin supercurrents in the SYM side.

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Section: Freementioning

confidence: 99%

More on ``La Grande Bouffe'': towards higher spin symmetry breaking in AdS

Bianchi

Heslop

Riccioni

2005

J. High Energy Phys.

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“…3 It is integrable because {D 1 α , D 1 β } = 0, as follows from (4). This allows us to find an analytic basis in superspace:…”

Section: Harmonic Superspace Grassmann Analyticity and Bps Multipletsmentioning

confidence: 99%

(2,0) Superconformal OPE's in D = 6, selection rules and non-renormalization theorems

Eden

Sokatchev

Ferrara

2001

J. High Energy Phys.

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We analyse the OPE of any two 1/2 BPS operators of (2,0) SCFT 6 by constructing all possible three-point functions that they can form with another, in general long operator. Such threepoint 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 N c coincident M5 branes, dual, in the large-N c limit, to the bulk M-theory compactified on AdS 7 ×S 4 . An interpretation of extremal and next-to-extremal correlators in terms of exchange of operators with protected conformal dimension is given.

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“…In [26] a general picture of superspaces as cosets was developed. In particular the study of N = 4 SYM was developed in N = 4 analytic superspace which manifested the full superconformal symmetry in a manner similar to the conformal group in Minkowski space [27][28][29]. Using analytic superspace allows one to solve the superconformal Ward identities in a more direct manner without ever seeing a differential equation.…”

Section: Jhep12(2015)159 1 Introductionmentioning

confidence: 99%

Superconformal partial waves in Grassmannian field theories

Doobary

Heslop

2015

J. High Energ. Phys.

123

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We derive superconformal partial waves for all scalar four-point functions on a super Grassmannian space Gr(m|n, 2m|2n) for all m, n. This family of four-point functions includes those of all (arbitrary weight) half BPS operators in both N = 4 SYM (m = n = 2) and in N = 2 superconformal field theories in four dimensions (m = 2, n = 1) on analytic superspace. It also includes four-point functions of all (arbitrary dimension) scalar fields in non-supersymmetric conformal field theories (m = 2, n = 0) on Minkowski space, as well as those of a certain class of representations of the compact SU(2n) coset spaces. As an application we then specialise to N = 4 SYM and use these results to perform a detailed superconformal partial wave analysis of the four-point functions of arbitrary weight half BPS operators. We discuss the non-trivial separation of protected and unprotected sectors for the 2222 , 2233 and 3333 cases in an SU(N ) gauge theory at finite N . The 2233 correlator predicts a non-trivial protected twist four sector for 3333 which we can completely determine using the knowledge that there is precisely one such protected twist four operator for each spin.

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AdS/SCFT in superspace

Cited by 19 publications

References 59 publications

More on ``La Grande Bouffe'': towards higher spin symmetry breaking in AdS

More on ``La Grande Bouffe'': towards higher spin symmetry breaking in AdS

(2,0) Superconformal OPE's in D = 6, selection rules and non-renormalization theorems

Superconformal partial waves in Grassmannian field theories

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