Four-dimensional superconformal theories with interacting boundaries or defects

By Johanna Erdmenger, Z. Guralnik, I. Kirsch. 2002

212 citations recorded by the source corpus.

We study four-dimensional superconformal field theories coupled to three-dimensional superconformal boundary or defect degrees of freedom. Starting with bulk $\mathcal{N}=2,$ $d=4$ theories, we construct Abelian models preserving $\mathcal{N}=2,$ $d=3$ supersymmetry and the conformal symmetries under which the boundary/defect is invariant. We write the action, including the bulk terms, in $\mathcal{N}=2,$ $d=3$ superspace. Moreover we derive Callan-Symanzik equations for these models using their superconformal transformation properties and show that the beta functions vanish to all orders in perturbation theory, such that the models remain superconformal upon quantization. Furthermore, we study a model with $\mathcal{N}=4\mathrm{SU}(N)$ Yang-Mills theory in the bulk coupled to an $\mathcal{N}=4,$ $d=3$ hypermultiplet on a defect. This model was constructed by DeWolfe, Freedman, and Ooguri, and conjectured to be conformal based on its relation to an AdS configuration studied by Karch and Randall. We write this model in $\mathcal{N}=2,$ $d=3$ superspace, which has the distinct advantage that nonrenormalization theorems become transparent. Using $\mathcal{N}=4,$ $d=3$ supersymmetry, we argue that the model is conformal.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2ab8675ae82668978644623ce6670938dc7a2b26

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Citations in the corpus

Intersecting D3-branes and holography (2002, methodology): “Note that in distinction to the conformal field theory dual to the (2|D3 ⊥ D5) intersection studied in [8, 9] there are no transverse derivatives like ∂wφ in the auxiliary fields F of the (2,2) superfield Φ.”
Holographic Wilson loops (2006, background): “sence of bulk D5 and D3-branes. This eﬀective ﬁeld theory describing the coupling of the degrees of freedom on the bulk D-branes to the N= 4 SYM ﬁelds is a defect conformal ﬁeld theory (see e.g [8][9][10]). It is by integrating out the degrees of freedom associated with the bulk D-branes in the defe”
Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus (2007, methodology): “The interface theories are different in character from the defect CFT discussed in the AdS/CFT context in [8, 9, 11 , 12, 13].”
Branes in AdS and pp-wave spacetimes (2002, background): “A particular case is the Karch-Randall embedding AdS4 × S2.”
The virtue of defects in 4D gauge theories and 2D CFTs (2010, methodology): “The values of the bulk fields (and their normal derivatives) at the boundary transform in multiplets of 3d N = 2 supersymmetry as we discuss in detail in the next subsection (based on [46]).”
Holography and defect conformal field theories (2001, background): “Note added A demonstration of the conformality of the full non-Abelian theory has recently appeared in [ 27 ].”
Chiral symmetry breaking and pions in nonsupersymmetric gauge / gravity duals (2004, background): “Examples of this [24, 25, 26, 27] were found by embedding a probe brane on an AdSd subspace of the full AdSD geometry, where d < D and the boundary of AdSd is part of the boundary of the AdSD.”
Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals (2003, background): “Examples of this [24, 25, 26, 27] were found by embedding a probe brane on an AdSd subspace of the full AdSD geometry, where d < D and the boundary of AdSd is part of the boundary of the AdSD.”
Mesons in gauge/gravity duals (2007, unknown): “explored in [129, 130, 131, 132, 133].”
Holographic Quantum Matter (2016, background): “Both in early and more recent work, Einstein-Maxwell theory is sometimes studied as a special case of a more general classes of gravitational theories that are dual to specific supersymmetric field theories such as N = 4 SYM theory at a nonzero chemical potential, e.g. [155; 156; 675].”
Exact half-BPS type IIB interface solutions II: flux solutions and multi-Janus (2007, background): “4, shows that the solutions found in this paper are the fully back-reacted versions corresponding to the insertion of probe D5 and NS5 branes in AdS5 ×S5 considered in [25, 4, 26].”
Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects (2013, background): “[31, 80], these defect flavor fields preserve SO(2, 3) defect conformal symmetry for any N and Nf , i.”
Defect conformal field theory and locally localized gravity (2003, background): “The superconformal symmetry for arbitrary gauge group was proven by [12].”
Defects in conformal field theory (2016, background): “In high energy physics, boundaries and interfaces can be engineered holographically [21, 22, 23, 24], while the systematic exploration of superconformal boundary conditions in N = 4 SYM was carried out in [25].”
Interface Yang–Mills, supersymmetry, and Janus (2006, background): “dence was presented there that this scenario is viable, at least in the approximation where the D5 brane is treated as a “probe”, and the back reaction of the D5 on the system of D3 branes is ignored [21, 23, 24, 25]. In our N = 4 interface theory, however, such extra degrees of freedom are absent. ”