Spin chains in $ \mathcal{N} = {2} $ superconformal theories from the $ {\mathbb{Z}_2} $ quiver to superconformal QCD

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 .

Section: Jhep03(2015)121mentioning

confidence: 87%

“…20 Of course this computation is not really reliable when the five-dimensional gauge theory is strongly coupled. But in any case we conclude that the five-dimensional gauge theory must be strongly coupled, thus helping also to avoid the first problem mentioned above.…”

Section: Jhep03(2015)121mentioning

confidence: 99%

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

“…is N f i /N c suppressed in the 't Hooft limit, it should be taken into account in the Veneziano limit [32]. Generally speaking, we need to consider the mixing among the generalized single trace operators involving X, X † , Another interesting question is that whether the planar integrability can be generalized to the full sector of the theory and/or to higher orders of 't Hooft coupling constant N c /k.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Integrable open spin chains from flavored ABJM theory

Bai

Chen

et al. 2017

“…At strong coupling the dual string description of N = 2 SCQCD seems much more problematic than that of N = 4 SYM. There are some proposal for the dual string/supergravity background which turn out to be either singular [46][47][48] or related to non critical models [49]. Any advancement on the field theory side might help claryfing the correct properties of the gravitational description.…”

Section: N = Superconformal Qcdmentioning

confidence: 99%

Four-point amplitudes in N = 2 $$ \mathcal{N}=2 $$ SCQCD

Leoni

Mauri

Santambrogio

2014

We compute four-point scattering amplitudes in N = 2 SCQCD with general external matter configurations using N = 1 superspace Feynman diagrams, at one loop in the general case and up to two loops in the fundamental sector. In the pure adjoint sector at one loop we confirm exact agreement with the corresponding amplitudes in N = 4 SYM theory, supporting the idea that a closed subsector of the SCQCD might be exactly integrable. External matter in the fundamental representation breaks dual conformal invariance already at one-loop order while the principle of maximal transcendentality is respected up to two loops.