{"arxiv_id":"1306.1263","incoming":{"papers":3,"sentences":5,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1905.03549","title":"Particle-vortex duality and theta terms in AdS/CMT applications","url":"/paper/1905.03549","section":"Introduction","sentence":"The AdS/CFT calculations using the membrane paradigm will be based on the original work of Iqbal and Liu [ref] (see also [ref] ), as well as Kovtun, Son and Starinets [ref] We we also treat quantum corrections to the gravitational action and the Maxwell and scalar fields in it, following the formalism of [ref] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":4},"outgoing":{"papers":13,"sentences":33,"groups":[{"kind":"extends","label":"Builds on","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1010.0443","title":"Holographic Quantum Critical Transport without Self-Duality","url":"/paper/1010.0443","section":"Introduction","sentence":"We want to generalize the calculation of [ref] to include the effect of the mass deformation, however we will find that we can only calculate the DC conductivity, $σ(0)$.","intent_p":1.0,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses the method or tool of","papers":3,"sentences":3,"quotes":[{"arxiv_id":"gr-qc/9712077","title":"An Action for Black Hole Membranes","url":"/paper/gr-qc/9712077","section":"Scalar field calculation","sentence":"Following [ref] , we need to add a boundary term at the horizon to the one that arises from variations of this action.","intent_p":0.91,"contests_p":null},{"arxiv_id":"0809.3808","title":"Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm","url":"/paper/0809.3808","section":"Conductivity using $J^i$ vs. $F_ti$ relation in the presence of $g_rt$","sentence":"One way to relate to the conductivity at the boundary is to study the $r$ dependence of the current $j^i$ and electric field $F_ti$, by looking at the equation of motion and Bianchi identities involving $_r j^i$ and $_r F_ti$ along the lines of Appendix B in [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"hep-th/0002028","title":"On the nonlinear KK reductions on spheres of supergravity theories","url":"/paper/hep-th/0002028","section":"First order deformation near the horizon","sentence":"The general ansatz for the truncation of the metric on an $n$-sphere $S^n$ down to $d$ dimensions is [ref] (here $D=d+n$) ds_D^2=Δ^-2/d-2ds_d^2+Δ^Ṯ_AB^-1DY^ADY^B where = 2/n-1d-1/d-2, Δ^2-ṉ = T^ABY_AY_B, DY^A = dY^A+B^ABY^B.Here $Y^A(y)$, with $A=0,...,n$, the scalar spherical harmonics on the sphere parametrized by $y⃗$ intrinsic coordinates, are also coordinates for the Euclidean embedding of the sphere, i.e. $Y^AY^A=1$.","intent_p":0.93,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":2,"sentences":3,"quotes":[{"arxiv_id":"1010.0443","title":"Holographic Quantum Critical Transport without Self-Duality","url":"/paper/1010.0443","section":"Conductivity using $J^i$ vs. $F_ti$ relation in the presence of $g_rt$","sentence":"We can readily check that both of the formulas above give the correct result when the mass deformation is absent, namely [ref] σ_mb^A →1/g_4^2(1+4γ).","intent_p":0.81,"contests_p":null},{"arxiv_id":"hep-th/9909121","title":"Symmetric Potentials of Gauged Supergravities in Diverse Dimensions and Coulomb Branch of Gauge Theories","url":"/paper/hep-th/9909121","section":"First order deformation near the horizon","sentence":"This also matches with another expression found in [ref] , for $T_AB=X_Aδ_AB$, with ds_D^2=(X_AY_A^2)^2/d-1ds_d^2+(X_AY_A^2)^-d-3/d-1(X_A^-1dY_A^2).","intent_p":0.87,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":5,"sentences":5,"quotes":[{"arxiv_id":"0806.1218","title":"N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals","url":"/paper/0806.1218","section":"Introduction","sentence":"While the duality between type IIB superstrings on $AdS_5×S^5$ and $𝒩=4$ supersymmetric $SU(N)$ Yang-Mills theory remains the canonical example for such strong coupling computations, the recently discovered duality between type IIA superstrings on $AdS_4×ℂℙ^3$ and the so-called ABJM model [ref] , a $(2+1)-$dimensional $𝒩=6$, $U(N)×U(N)$ Chern-Simons-matter theory is quickly gaining ground in popularity.","intent_p":0.98,"contests_p":null},{"arxiv_id":"0807.0197","title":"On M5-branes in N=6 Membrane Action","url":"/paper/0807.0197","section":"Massive deformation for ABJM black hole","sentence":"As alluded to in the introduction to this article, the ABJM model admits a mass deformation that, while obviously breaking its conformal symmetry, preserves its full $𝒩=6$ supersymmetry [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"0807.1074","title":"A Massive Study of M2-brane Proposals","url":"/paper/0807.1074","section":"Massive deformation for ABJM black hole","sentence":"As alluded to in the introduction to this article, the ABJM model admits a mass deformation that, while obviously breaking its conformal symmetry, preserves its full $𝒩=6$ supersymmetry [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"0906.2366","title":"Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory","url":"/paper/0906.2366","section":"Massive deformation for ABJM black hole","sentence":"Unfortunately, the gravity dual to this massive deformation is, to say the least, very complicated (see [ref] for more details), and finding an exact black hole solution in this case seems hopeless.","intent_p":0.86,"contests_p":null},{"arxiv_id":"1003.2599","title":"Looking for a Matrix model of ABJM","url":"/paper/1003.2599","section":"Massive deformation for ABJM black hole","sentence":"Unfortunately, the gravity dual to this massive deformation is, to say the least, very complicated (see [ref] for more details), and finding an exact black hole solution in this case seems hopeless.","intent_p":0.86,"contests_p":null}]}],"unlabelled_sentences":21},"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/1306.1263"}}