{"arxiv_id":"hep-th/0111135","incoming":{"papers":180,"sentences":300,"groups":[{"kind":"extends","label":"Builds on it","papers":6,"sentences":11,"quotes":[{"arxiv_id":"1706.00425","title":"Holography for field theory solitons","url":"/paper/1706.00425","section":"Brane configuration","sentence":"We begin with a non-abelian version of the brane configuration in [ref] . $N_f$ D5-branes and $N_c$ D3-branes in the ten-dimensional IIB theory span the directions indicated in Figure [ref].","intent_p":0.98,"contests_p":null},{"arxiv_id":"0807.3679","title":"R-Charge Chemical Potential in a 2+1 Dimensional System","url":"/paper/0807.3679","section":"Introduction","sentence":"In this paper we will study the dynamics of the theory on the world volume of a mixed D3 and D5 brane construction with a 2+1 dimensional intersection$^1$ , which has previously been studied at zero temperature in the absence of chemical potential in [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2201.02014","title":"Effective Action, Spectrum and First Law of Wedge Holography","url":"/paper/2201.02014","section":"Introduction","sentence":"Generalizing wedge holography to codim-n defects, [ref] proposes the so-called cone holography, which can be derived from suitable limit of holographic defect CFT [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"0812.3273","title":"Chemical Potential in the Gravity Dual of a 2+1 Dimensional System","url":"/paper/0812.3273","section":"Introduction","sentence":"In this paper we will study the dynamics of the theory on the world volume of a mixed D3 and D5 brane construction with a 2+1 dimensional intersection, which has previously been studied at zero temperature in the absence of chemical potential in [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"2511.19592","title":"On decoding the string from interfaces in 2d conformal field theories","url":"/paper/2511.19592","section":"Holographic interpretation","sentence":"We note that this is a generalization of the setup considered in earlier works that use gravitational interfaces as bottom-up models of dual conformal interfaces [ref] , which, however, don't feature a relative time reparametrization across the CFT interface.","intent_p":0.85,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":4,"sentences":4,"quotes":[{"arxiv_id":"1404.5527","title":"Boundaries and Defects of N=4 SYM with 4 Supercharges, Part I: Boundary/Junction Conditions","url":"/paper/1404.5527","section":"D5-like Junction","sentence":"For this purpose we can write the fields of 4$d$ $𝒩=4$ SYM in terms of 3$d$ $𝒩=2$ superspace, following the formalism of [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1706.00425","title":"Holography for field theory solitons","url":"/paper/1706.00425","section":"Perturbative spectrum","sentence":"The $$ and $f$ modes form a coupled system that must be diagonalized, as in [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2304.11799","title":"Aspects of higher-point functions in BCFT$_d$","url":"/paper/2304.11799","section":"Discussions and outlook","sentence":"It would be useful to adapt the weight-shifting technology [ref] to facilitate the analysis of conformal blocks and Witten diagrams. * Finally, it would be interesting to extend our results to include supersymmetry and consider top-down models constructed using probe D-branes (e.g., in the setup of [ref] ).","intent_p":0.8,"contests_p":null},{"arxiv_id":"1103.0042","title":"Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces","url":"/paper/1103.0042","section":"Conclusions","sentence":"Just as in [ref] , we worked in $_3d=2$ superspace language.","intent_p":0.94,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":6,"sentences":8,"quotes":[{"arxiv_id":"1709.08650","title":"Supersymmetric D3/D5 for massive defects on curved space","url":"/paper/1709.08650","section":"Holographic one-point functions","sentence":"This matches the linearized spectrum for the coupled sector analysis found in [ref] for $ℓ=1$.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1701.04323","title":"The energy-momentum multiplet of supersymmetric defect field theories","url":"/paper/1701.04323","section":"Coupling of 3d and 4d theories","sentence":"A similar expression for this projection was obtained in [ref] .","intent_p":0.82,"contests_p":null},{"arxiv_id":"2207.07671","title":"Supersymmetry of the D3/D5 Defect Field Theory","url":"/paper/2207.07671","section":"Map to $SU(2)×SU(2)$-invariant Form","sentence":"Note that the definition of $X^H_r$ and $X^V_$ as the real and imaginary parts of $X_r$, respectively, is exactly swapped compared to the definition of [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"2401.13749","title":"Superconformal Two-Point Functions of the Nahm Pole Defect in $\\mathcal{N}=4$ Super-Yang-Mills Theory","url":"/paper/2401.13749","section":"The Nahm pole defect in N=4 SYM theory","sentence":"For $k=0$ we hence have standard $=4$ SYM theory everywhere in spacetime.[ A similar co-dimension one DCFT with no jump in the rank of the gauge group has the fields of $=4$ SYM theory interacting with a 3d fundamental hypermultiplet placed on the defect by hand [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"2009.03290","title":"Aspects of CFTs on Real Projective Space","url":"/paper/2009.03290","section":"Comparison with interface CFT from the probe-brane setup","sentence":"To conclude this section, we give a quick comparison of the above discussion with the closely related interface/boundary CFT from the probe-brane setup [ref] (which is the simplest Karch-Randall set up [ref] ).","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":123,"sentences":139,"quotes":[{"arxiv_id":"1607.03123","title":"AdS/dCFT one-point functions of the SU(3) sector","url":"/paper/1607.03123","section":"Introduction","sentence":"The integrable structure of N=4 SYM [ref] has recently shown its power in the calculation of one-point functions in a certain defect version of the theory which is holographically dual to the D3-D5 probe brane system with background gauge field flux [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"1407.3097","title":"Holographic Graphene in a Cavity","url":"/paper/1407.3097","section":"Introduction","sentence":"Holographic descriptions of $N=4$ super Yang-Mills theory [ref] with defect D5 probe branes [ref] (and other related systems [ref] ) provide a calculable system with similar gross properties - fermions on the defect interacting by higher dimension conformal gauge fields.","intent_p":0.91,"contests_p":null},{"arxiv_id":"0808.2777","title":"On the Symmetries of Classical String Theory","url":"/paper/0808.2777","section":"Interfaces as spectrum-generating symmetries","sentence":"In the string-theory literature conformal interfaces were first studied as holographic duals [ref] to codimension-one anti-de Sitter branes [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"1909.12181","title":"The dilatation operator for defect conformal N=4 SYM","url":"/paper/1909.12181","section":"Introduction","sentence":"The scalar defect field $q$ is the bosonic component of a 3d hyper-multiplet [ref] , and is in the fundamental of U$(N)$.","intent_p":0.93,"contests_p":null},{"arxiv_id":"1611.04603","title":"A Quantum Check of AdS/dCFT","url":"/paper/1611.04603","section":"Introduction","sentence":"The dCFT we are going to consider consists of $N=4$ super Yang-Mills ($𝒩=4$ SYM) theory with a codimension-one defect inserted at $x_3=0$ [ref] .","intent_p":0.92,"contests_p":null}]}],"unlabelled_sentences":138},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-th/0111135"}}