{"arxiv_id":"hep-th/0007191","incoming":{"papers":695,"sentences":1486,"groups":[{"kind":"contests","label":"Contests it","papers":2,"sentences":3,"quotes":[{"arxiv_id":"2310.06042","title":"Aspects of Thermal QCD Phenomenology at Intermediate Gauge/'t Hooft Coupling from String/M-Theory, (HD) Gravity Islands, and Multiverse","url":"/paper/2310.06042","section":"Type IIB String Dual of Large-$N$ Thermal QCD","sentence":"UV completion problem of the Klebanov-Strassler model [ref] has been cured in this model. * Brane/Gauge Picture: Branes configuration of [ref] involve $N$ color $D3$ branes, $M D5$ and $M D5$-branes, $N_f$ flavor $D7$ and $D_7$-branes.","intent_p":0.31,"contests_p":0.74},{"arxiv_id":"2310.20559","title":"Moduli Stabilization in String Theory","url":"/paper/2310.20559","section":"Supersymmetry breaking and de Sitter uplift","sentence":"The first idea for an uplift, due to Kachru, Pearson, and Verlinde (KPV) [ref] , proposes that $p$ anti-D3-branes at the bottom of a Klebanov-Strassler warped throat region can break supersymmetry, with[The denominator was given as $(T+T)^3$ in [ref] and corrected to $(T+T)^2$, which properly accounts for the warping, in [ref] : see the treatment in [ref] .] [equation] where [equation] Here $T_D3$ is the D3-brane tension, $y_IR$ is the location of the tip of the warped throat inside $X_6$, and $e^A(y)$ is the warp factor from [ref], evaluated in the Klebanov-Strassler solution [ref] .","intent_p":0.5,"contests_p":0.74}]},{"kind":"extends","label":"Builds on it","papers":17,"sentences":19,"quotes":[{"arxiv_id":"2503.17108","title":"Modified instanton sum and 4-group structure in 4d $\\mathcal{N}=1$ $SU(M)$ SYM from holography","url":"/paper/2503.17108","section":"Introduction and summary","sentence":"The aim of this note is to study the modified instanton sum and the 4-group structure, as introduced in [ref] , for holographic 4d $𝒩=1$ $SU(M)$ gauge theories [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"0706.1238","title":"Backreacting Flavors in the Klebanov-Strassler Background","url":"/paper/0706.1238","section":"The cascade: supergravity side","sentence":"Indeed we will show that the effective brane charges, the R-anomalies and the beta functions of the gauge couplings that we can read from the supergravity solutions precisely match the picture of a cascade of Seiberg dualities that we expect to describe the RG flow of the field theories, generalizing the results of [ref] to gauge theories which include dynamical flavors.","intent_p":1.0,"contests_p":null},{"arxiv_id":"0912.3212","title":"Transport at criticality","url":"/paper/0912.3212","section":"Introduction","sentence":"In section 3, building up on the previous work [ref] , we identify the second order phase transitions (and the static universality classes) in holographic models of gauge-gravity correspondence: the $=2^*$ gauge theory plasma [ref] , the finite temperature Klebanov-Tseytlin (cascading) gauge theory plasma [ref] , and the phase transition in \"exotic black holes” we proposed earlier [ref] .","intent_p":0.84,"contests_p":null},{"arxiv_id":"1106.2193","title":"Randall-Sundrum Models and Holography","url":"/paper/1106.2193","section":"Introduction","sentence":"Finally, one minor new result will given: the bulk interpretation of [ref] will be discussed explicitly, which has not been done in the literature, although 5d models which have similar 4d duals have been constructed [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"1112.3350","title":"A tale of two cascades: Higgsing and Seiberg-duality cascades from type IIB string theory","url":"/paper/1112.3350","section":"Conclusions","sentence":"We constructed these new solutions, which generalize the KS [ref] and baryonic branch [ref] solutions, by the addition of sources into the type IIB configuration.","intent_p":1.0,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":12,"sentences":14,"quotes":[{"arxiv_id":"1112.3350","title":"A tale of two cascades: Higgsing and Seiberg-duality cascades from type IIB string theory","url":"/paper/1112.3350","section":"General idea of this paper","sentence":"Using a solution generating technique presented in [ref] and further developed in [ref] - [ref] (sometimes referred to as `rotation') we construct a solution that generalizes that of KS [ref] and the so-called baryonic branch of [ref] by the addition of source D5/D3-branes in the bulk that translate into a new numerology for the field-theory quiver.","intent_p":0.82,"contests_p":null},{"arxiv_id":"2403.10541","title":"Bulk Viscosity, Speed of Sound and Contact Structure at Intermediate Coupling","url":"/paper/2403.10541","section":"Summary of Results","sentence":"Using standard KS(Klebanov-Strassler)-like RG-flow equations [ref] , [ref] , one sees that (similar to [ref] ): [equation] and consequently, setting $C_2=0$, ([ref]) yields: [equation] Two plots for two sets of choices of $(c_1, c_2, C_2, κ_α_β, κ_β, N)$ are given in Figures 2 and 3, for QCD-inspired values of $(g_s, M, N_f)$ of Table 1.","intent_p":0.81,"contests_p":null},{"arxiv_id":"1611.03111","title":"Non-Abelian Vortex in Four Dimensions as a Critical Superstring","url":"/paper/1611.03111","section":"Deformations of the conifold metric.","sentence":"Another one uses the explicit metric on the deformed conifold [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"1011.2799","title":"Brane resolution in heterotic theory through BF term","url":"/paper/1011.2799","section":"Resolution through BF term","sentence":"We will use an ansatz for $B$ field previously used in Ref. [ref] , that have spherical symmetry and are defined only at spherical cycle:","intent_p":0.98,"contests_p":null},{"arxiv_id":"1611.07037","title":"Is inflation from unwinding fluxes IIB?","url":"/paper/1611.07037","section":"Introduction","sentence":"We will follow the standard practice of modeling such throat regions with the Klebanov-Strassler (KS) solution [ref] .","intent_p":0.92,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":11,"sentences":14,"quotes":[{"arxiv_id":"1301.6755","title":"Non-Abelian T-duality and the AdS/CFT correspondence:new N=1 backgrounds","url":"/paper/1301.6755","section":"Domain walls","sentence":"In the cases of the KS-Baryonic Branch non-abelian T dual backgrounds the expressions read, (KS ): T_eff = T_D2 . ^2/3 h(τ)^- (4 h_2^2 + cosh^2 τK(τ)^2 ^8/3 )^/2√(3) K(τ) |_τ=0 , (KS+bb) T_eff = T_D2 . e^2g+k+2Φ (+ e^2Φ ^̨2 cos^2 )^2√(2) ^ |_ρ=0 Using the small radius expansions in [ref] and [ref] , we find that the domain walls have constant tension in the three analysed cases.","intent_p":0.88,"contests_p":null},{"arxiv_id":"0804.4878","title":"D-branes in Supersymmetric Backgrounds","url":"/paper/0804.4878","section":"Deformation of the conifold: the Klebanov-Strassler (KS) model","sentence":"Thus the result is [ref] : h(τ) = (g_sMα')^22^2/3ϵ^-8/3 I(τ) , where I(τ) = ∫_τ^∞dx xx-1/sinh^2x(sinh2x-2x)^1/3 .","intent_p":0.87,"contests_p":null},{"arxiv_id":"2205.00612","title":"The quest for a conifold conformal order","url":"/paper/2205.00612","section":"Exotic phases of the cascading gauge theory at high temperature","sentence":"To leading order in $M/N$, $γ=-1/2$ [ref] , so that [equation] while the sum of the gauge couplings is constant along the RG flow [equation]","intent_p":0.88,"contests_p":null},{"arxiv_id":"2201.03572","title":"LVS de Sitter Vacua are probably in the Swampland","url":"/paper/2201.03572","section":"Curvature Corrections in the Conifold Region","sentence":"We also used that the first derivative of the warp factor vanishes at the conifold tip and substituted the explicit expressions for the warp factor and the 6D metric from [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"1002.2830","title":"Throat Cosmology","url":"/paper/1002.2830","section":"Flux compactifications à la GKP","sentence":"From the explicit supergravity solution from [ref] , we know that the size of the S$^3$ at the bottom of the KS throat is $r_c ∼z^1/3 R$.","intent_p":0.96,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":40,"sentences":66,"quotes":[{"arxiv_id":"0706.1238","title":"Backreacting Flavors in the Klebanov-Strassler Background","url":"/paper/0706.1238","section":"Flavored warped deformed conifold","sentence":"Notice, again, that for $N_f=0$ the system ([ref]) reduces to the one found in [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"1310.1372","title":"Cascading gauge theory on dS_4 and String Theory Landscape","url":"/paper/1310.1372","section":"IR asymptotics","sentence":"The crucial difference between the IR boundary conditions for a chirally symmetric phase discussed in section [ref] and the IR boundary conditions for a$$phase discussed here is that in the former case the manifold$_5$geodesically completes with (a smooth) shrinking to zero size of$dS_4⊂_5$, while in the latter case, much like in supersymmetric Klebanov-Strassler state of cascading gauge theory [ref] , the 10-dimensional uplift of$_5$, [equation] geodesically completes with (a smooth) shrinking of a 2-cycle in the compact manifold$X_5$ [ref] .","intent_p":0.8,"contests_p":null},{"arxiv_id":"0804.4878","title":"D-branes in Supersymmetric Backgrounds","url":"/paper/0804.4878","section":"Deformation of the conifold: the Klebanov-Strassler (KS) model","sentence":"Actually this model [ref] turns into the Klebanov-Tseytlin one [ref] at large $τ$, once we perform the radial change of variable ([ref]).","intent_p":0.83,"contests_p":null},{"arxiv_id":"1112.3350","title":"A tale of two cascades: Higgsing and Seiberg-duality cascades from type IIB string theory","url":"/paper/1112.3350","section":"Conclusions","sentence":"The main element of novelty that emerged from our study is that the dual field theory undergoes two cascades: a cascade of Seiberg dualities, analogous to the one in [ref] , and a cascade of Higgsings, analogous to what was suggested in [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1108.6070","title":"Quantum phase transitions in cascading gauge theory","url":"/paper/1108.6070","section":"IR asymptotics","sentence":"The crucial difference between the IR boundary conditions for a chirally symmetric phase discussed in section [ref] and the IR boundary conditions for a$$phase discussed here is that in the former case the manifold$_5$geodesically completes with (a smooth) shrinking to zero size of$S^3⊂_5$, while in the latter case, much like in supersymmetric Klebanov-Strassler state of cascading gauge theory [ref] , the 10-dimensional uplift of$_5$, [equation] (with the metric given by [ref]), geodesically completes with (a smooth) shrinking of a 2-cycle in the compact manifold$X_5$ [ref] .","intent_p":0.91,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1301.5647","title":"Cosmological Constant, Near Brane Behavior and Singularities","url":"/paper/1301.5647","section":"The Argument","sentence":"In order that the unperturbed deformed conifold metric $g̃_mn$ shrinks smoothly at the tip, we furthermore expect that the energy density of $F_3$ along the A cycle contracted with $g̃_mn$ does not vanish at the tip: [equation] where the superscript denotes the component of $F_3$ along the A cycle.[This is not to be confused with the notation of [ref] , where the superscript in $F_3^A$ is an index running over all components of $F_3$.] This is motivated by the fact that the energy density of $F_3^A$ is non-vanishing and prevents the A cycle from collapsing at the tip of the deformed conifold before the perturbation by the $D3$-branes [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1309.5990","title":"Backreaction of Localised Sources in String Compactifications","url":"/paper/1309.5990","section":"The Argument","sentence":"In order that the unperturbed deformed conifold metric $g̃_mn$ shrinks smoothly at the tip, we furthermore expect that the energy density of $F_3$ along the A cycle contracted with $g̃_mn$ does not vanish at the tip, [equation] where the superscript denotes the component of $F_3$ along the A cycle.[This is not to be confused with the notation of [ref] , where the superscript in $F_3^A$ is an index running over all components of $F_3$.] This is motivated by the fact that the non-vanishing energy density of $F_3^A$ prevents the A cycle from collapsing at the tip of the deformed conifold before the perturbation by the -branes [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"0909.0518","title":"Holographic duality with a view toward many-body physics","url":"/paper/0909.0518","section":"Lessons for how to use AdS/CFT","sentence":"I think it is a defensible claim [ref] that if we didn't know the IR physics of QCD ( if we didn't happen to be made out of color-neutral boundstates of quarks and gluons) before the discovery of AdS/CFT, we would have predicted color confinement by finding its dual geometry [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":353,"sentences":479,"quotes":[{"arxiv_id":"1812.05016","title":"Transplanckian Axion Monodromy !?","url":"/paper/1812.05016","section":"Warped throats and transplanckian axion monodromy","sentence":"In the following we review the Klebanov-Strassler (KS) throat [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2406.13751","title":"Candidate de Sitter Vacua","url":"/paper/2406.13751","section":"Background on the KKLT scenario","sentence":"This can be accomplished by embedding into the Calabi-Yau an incarnation of the Randall-Sundrum model [ref] , in which branes at one end of an (approximate) AdS$_5$ throat are exponentially redshifted relative to those at the other end.[This AdS$_5$ throat is not to be confused with the supersymmetric AdS$_4$ vacuum.] The string theory geometry that reproduces the Randall-Sundrum model in this context is called a Klebanov-Strassler throat [ref] , and arises in Calabi-Yau compactifications that contain a type of singular point called a conifold singularity, threaded by three-form fluxes [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"2406.01319","title":"Meson modes of probe $D7$-branes in Klebanov-Strassler background","url":"/paper/2406.01319","section":"Type $II b$ string theory on warped deformed conifold with $Dp$-branes","sentence":"We shall begin the discussion with a brief review of the Klebanov-Strassler background [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"0805.4384","title":"Unquenched flavors in the Klebanov-Strassler theory","url":"/paper/0805.4384","section":"KS field theory with nonchiral flavors","sentence":"Klebanov and Strassler [ref] understood that the RG flow of such field theory undergoes an infinite cascade of Seiberg dualities, where ranks change according to $…→SU(N+M)×SU(N)→SU(N-M)×SU(N)→SU(N-M)×SU(N-2M)→…$.","intent_p":0.82,"contests_p":null},{"arxiv_id":"1909.04062","title":"The QCD Trace Anomaly at Strong Coupling from M-Theory","url":"/paper/1909.04062","section":"String/M-Theory Dual of Thermal QCD - A Review of CITEMARK24Z","sentence":"* UV-complete holographic dual of large-$N$ thermal QCD as constructed in [ref] : The UV-complete holographic dual of large-$N$ thermal QCD as constructed in [ref] , subsumed the zero-temperature Klebanov-Witten model [ref] , the non-conformal Klebanov-Tseytlin model [ref] , its IR completion as given in the Klebanov-Strassler model [ref] and Ouyang's [ref] inclusion of flavor in the same,","intent_p":0.92,"contests_p":null}]}],"unlabelled_sentences":888},"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. 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