Holography and defect conformal field theories

By Oliver DeWolfe, D. Freedman, Hirosi Ooguri. 2001

469 citations recorded by the source corpus.

We develop both the gravity and field theory sides of the Karch-Randall conjecture that the near-horizon description of a certain D5-D3 brane configuration in string theory, realized as AdS_5 x S^5 bisected by an AdS_4 x S^2 "brane", is dual to N=4 Super Yang-Mills theory in R^4 coupled to an R^3 defect. We propose a complete Lagrangian for the field theory dual, a novel "defect superconformal field theory" wherein a subset of the fields of N=4 SYM interacts with a d=3 SU(N) fundamental hypermultiplet on the defect preserving conformal invariance and 8 supercharges. The Kaluza-Klein reduction of wrapped D5 modes on AdS_4 x S^2 leads to towers of short representations of OSp(4|4), and we construct the map to a set of dual gauge-invariant defect operators O_3 possessing integer conformal dimensions. Gravity calculations of and are given. Spacetime and N-dependence matches expectations from dCFT, while the behavior as functions of λ = g^2 N at strong and weak coupling is generically different. We comment on a class of correlators for which a non-renormalization theorem may still exist. Partial evidence for the conformality of the quantum theory is given, including a complete argument for the special case of a U(1) gauge group. Some weak coupling arguments which illuminate the duality are presented.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/85eb0cb7baf98d294ff9d1a45e66ef5617bcc5db

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Citations in the corpus

Aspects of AdS/BCFT (2011, methodology): “Note that this symmetry structure looks the same as that in the holography for defect or Janus CFTs [5, 19, 20, 21].”
Probe branes, time-dependent couplings and thermalization in AdS/CFT (2010, unknown): “In the dual defect CFT this corresponds to a certain time-dependent coupling of the hypermultiplet fields with N = 4 vector multiplet fields [75–78].”
Meson Spectroscopy in AdS/CFT with Flavour (2003, background): “This could have interesting applications in the context of the AdS/dCFT correspondence [16, 17, 7].”
One-point functions in defect CFT and integrability (2015, methodology): “Here we focus on a domain wall in N = 4 Super-Yang-Mills (SYM) theory which separates vacua with SU( N ) and SU( N − k ) gauge groups [1].”
Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus (2007, methodology): “We introduce composite fields in terms of which the field equations are expressed simply, as follows, P = f 2dB f 2 = (1 − |B|2)−1 Q = f 2Im(BdB̄) (3.1) and the field strengths F(3) = dB(2), and G = f(F(3) − BF̄(3)) F(5) = dC(4) + i 16 ( B(2) ∧ F̄(3) − B̄(2) ∧ F(3) ) (3.2) The scalar field B is…”
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.”
Defect conformal field theory and locally localized gravity (2003, methodology): “In the D3/D5 system which we will mainly be interested in, the chiral operators in the bulk all have integer dimensions, and there is a parity symmetry (discussed in [11]) which relates positive and negative values of x and which allows only even-dimensional operators to obtain one-point functions, ”
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.”
Supersymmetric Boundary Conditions in $\mathcal{N}=4$ Super Yang-Mills Theory (2008, methodology): “By computing the hyper-Kahler moment map of (A3, ~ X), we can get a new understanding of some known results about coupling of bulk gauge fields to localized hypermultiplets [6].”
Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, unknown): “For top-down models, see [116–122].”
All-genus calculation of Wilson loops using D-branes (2005, background): “To do any better one may have to add to the gauge theory new degrees of freedom living along the loop, giving a defect CFT, like in [28].”
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].”
Supersymmetric Wilson loops on S**3. (2007, background): “These non-local operators, as well as surface operators (for example [77–79]) and domain walls [80] are much less studied than local operators but they have very interesting properties.”
Towards a holographic dual of large- N c QCD (2003, background): “This system is T-dual to the D3/D5 intersection, and in the decoupling limit for the D4-branes [16] provides a non-conformal version of the AdS/dCFT correspondence [5, 17].”
Interface Yang–Mills, supersymmetry, and Janus (2006, background): “In [ 22 ], a 2+1-dimensional hypermultiplet, localized on the brane, in the fundamental representation of the gauge group SU(N) was proposed for such defect degrees of freedom.”
Branes in AdS and pp-wave spacetimes (2002, background): “Now let us discuss more generally Dp-brane embeddings in the pp-wave background and their supersymmetry.”
Gauge Theory, Ramification, And The Geometric Langlands Program (2006, background): “Closer to our present concerns, hypermultiplets localized in codimension one have been coupled to N = 4 super Yang-Mills theory via brane constructions, for example in [78], [79], and hypermultiplets of codimension two, the case most”