Infinite Chiral Symmetry in Four Dimensions

Beem, Christopher; Lemos, Madalena; Liendo, Pedro; Peelaers, Wolfger; Rastelli, Leonardo; Rees, Balt C. van

doi:10.1007/s00220-014-2272-x

Cited by 531 publications

(1,622 citation statements)

References 95 publications

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“…Recently a systematic study of rank 1 N = 2 SCFTs was initiated in [21,30,42], and it is interesting if this can support or disfavor its existence. Furthermore the existence of a rank 1 F 4 SCFT was suspected from the superconformal bootstrap analysis in [43,44], which also calculated some of its central charges. It will be interesting if we can calculate these also for our proposed rank 1 F 4 theory and compare with their results.…”

Section: Discussionmentioning

confidence: 99%

Compactifications of 5d SCFTs with a twist

Zafrir

2017

J. High Energ. Phys.

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Abstract:We study the compactification of 5d SCFTs to 4d on a circle with a twist in a discrete global symmetry element of these SCFTs. We present evidence that this leads to various 4d N = 2 isolated SCFTs. These include many known theories as well as seemingly new ones. The known theories include the recently discovered rank 1 SU(4) SCFT and its mass deformations. One application of the new SCFTs is in the dual descriptions of the 4d gauge theory SU(N ) + 1S + (N − 2)F . Also interesting is the appearance of a theory with rank 1 and F 4 global symmetry.

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Section: Discussionmentioning

confidence: 99%

Compactifications of 5d SCFTs with a twist

Zafrir

2017

J. High Energ. Phys.

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“…However, the Zamolodchikov metric for a weakly coupled gauge theory goes as: 2) so this implies that the origin of the 'moduli space' on AdS 5 (which we mapped to τ → i∞) is infinitely far away, see figure 7. 22 Furthermore, our discussion implies that the origin of the 'moduli space' is not just a point but a (K − 2)-dimensional space, corresponding to the parameter space of the P (K) theory. This is most cleanly seen from the Gaiotto picture, which shows that the space of coupling constants of the P (K) theory is the moduli space of a (K + 1)-point punctured sphere S 2 K+1 .…”

Section: The Metric On the Moduli Spacementioning

confidence: 93%

“…We argued (see also [22,23]) that four-dimensional N = 2 SCFTs cannot have enhanced global symmetries as one dials exactly marginal couplings, except in the situation that they are also combined with enhanced higher spin symmetries. It would be interesting to generalize this to other dimensions and other amounts of supersymmetry, and to study other similar constraints arising from the structure of the representation theory of the superconformal algebras [70].…”

Section: More On Enhanced Global Symmetriesmentioning

confidence: 97%

“…This, however, is not possible. This is not possible because four-dimensional N = 2 SCFTs cannot have enhanced global symmetries as exactly marginal couplings are continuously varied, without having also enhanced higher-spin symmetries (see also [22,23]). We can see this by examining the list of allowed multiplets of the four-dimensional N = 2 superconformal algebra [24][25][26][27][28], in which there is no superconformal multiplet including a vector operator with a dimension that continuously goes down to the conserved current dimension ∆ = 3, without containing also additional conserved currents of higher spins.…”

Section: Jhep03(2015)121mentioning

confidence: 99%

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Rigid holography and six-dimensional N = 2 0 $$ \mathcal{N}=\left(2,0\right) $$ theories on AdS5 × S $$ \mathbb{S} $$ 1

Aharony

Berkooz

Rey

2015

J. High Energ. Phys.

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Field theories on anti-de Sitter (AdS) space can be studied by realizing them as low-energy limits of AdS vacua of string/M theory. In an appropriate limit, the field theories decouple from the rest of string/M theory. Since these vacua are dual to conformal field theories, this relates some of the observables of these field theories on AdS space to a subsector of the dual conformal field theories. We exemplify this 'rigid holography' by studying in detail the six-dimensional N = (2, 0) A K−1 superconformal field theory (SCFT) on AdS 5 ×S 1 , with equal radii for AdS 5 and for S 1 . We choose specific boundary conditions preserving sixteen supercharges that arise when this theory is embedded into Type IIB string theory on AdS 5 × S 5 /Z K . On R 4,1 × S 1 , this six-dimensional theory has a 5(K − 1)-dimensional moduli space, with unbroken five-dimensional SU(K) gauge symmetry at (and only at) the origin. On AdS 5 × S 1 , the theory has a 2(K − 1)-dimensional 'moduli space' of supersymmetric configurations. We argue that in this case the SU(K) gauge symmetry is unbroken everywhere in the 'moduli space' and that this five-dimensional gauge theory is coupled to a four-dimensional theory on the boundary of AdS 5 whose coupling constants depend on the 'moduli'. This involves non-standard boundary conditions for the gauge fields on AdS 5 . Near the origin of the 'moduli space', the theory on the boundary contains a weakly coupled four-dimensional N = 2 supersymmetric SU(K) gauge theory. We show that this implies large corrections to the metric on the 'moduli space'. The embedding in string theory implies that the six-dimensional N = (2, 0) theory on AdS 5 × S 1 with sources on the boundary is a subsector of the large N limit of various four-dimensional N = 2 JHEP03(2015)121quiver SCFTs that remains non-trivial in the large N limit. The same subsector appears universally in many different four-dimensional N = 2 SCFTs. We also discuss a decoupling limit that leads to N = (2, 0) 'little string theories' on AdS 5 × S 1 .

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“…The operator algebra of any (2, 0) theory admits a closed subalgebra, isomorphic to a two-dimensional chiral algebra [50,56]. Certain protected contributions to four-point functions of BPS operators of the (2, 0) theory are entirely captured by this chiral algebra.…”

Section: B Bootstrap Approachmentioning

confidence: 99%

The (2, 0) superconformal bootstrap

et al. 2016

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We develop the conformal bootstrap program for six-dimensional conformal field theories with (2, 0) supersymmetry, focusing on the universal four-point function of stress tensor multiplets. We review the solution of the superconformal Ward identities and describe the superconformal block decomposition of this correlator. We apply numerical bootstrap techniques to derive bounds on operator product expansion (OPE) coefficients and scaling dimensions from the constraints of crossing symmetry and unitarity. We also derive analytic results for the large spin spectrum using the light cone expansion of the crossing equation. Our principal result is strong evidence that the A 1 theory realizes the minimal allowed central charge (c ¼ 25) for any interacting (2, 0) theory. This implies that the full stress tensor four-point function of the A 1 theory is the unique unitary solution to the crossing symmetry equation at c ¼ 25. For this theory, we estimate the scaling dimensions of the lightest unprotected operators appearing in the stress tensor operator product expansion. We also find rigorous upper bounds for dimensions and OPE coefficients for a general interacting (2, 0) theory of central charge c. For large c, our bounds appear to be saturated by the holographic predictions obtained from eleven-dimensional supergravity.

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Infinite Chiral Symmetry in Four Dimensions

Cited by 531 publications

References 95 publications

Compactifications of 5d SCFTs with a twist

Compactifications of 5d SCFTs with a twist

Rigid holography and six-dimensional N = 2 0 $$ \mathcal{N}=\left(2,0\right) $$ theories on AdS5 × S $$ \mathbb{S} $$ 1

The (2, 0) superconformal bootstrap

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