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${\mathscr {M}}$cTEQ (${\mathscr {M}}$ ${\bf c}$hiral perturbation theory-compatible deconfinement ${\bf T}$emperature and ${\bf E}$ntanglement Entropy up to terms ${\bf Q}$uartic in curvature) and FM (${\bf F}$lavor ${\bf M}$emory)
High Energy Physics - Theory · Submitted 11 Aug 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Remarkably, when evaluating $T_c$ from an entanglement entropy computation in the thermal gravity dual, due to a delicate cancelation between the ${\cal O}(R^4)$ corrections from a subset of the abovementioned metric components, one sees that there are no corrections to $T_c$ at quartic order supporting the conjecture referred to above.
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The abstract, sentence by sentence
A holographic computation of $T_c$ at ${\it intermediate\ coupling}$ from M-theory dual of thermal QCD-like theories, has been missing in the literature. Filling this gap, we demonstrate a novel UV-IR mixing, (conjecture and provide evidence for) a non-renormalization beyond 1 loop of ${\bf M}-{\bf c}$hiral perturbation theory arXiv:2011.04660[hep-th]-compatible deconfinement ${\bf T}$emperature, and show equivalence with an ${\bf E}$ntanglement (as well as Wald) entropy arXiv:0709.2140[hep-th] computation, up to terms ${\bf Q}$uartic in curvature. We demonstrate a ${\bf F}$lavor-${\bf M}$emory (FM) effect in the M-theory uplifts of the gravity duals, wherein the no-braner M-theory uplift retains the "memory" of the flavor D7-branes of the parent type IIB dual in the sense that a specific combination of the aforementioned quartic corrections to the metric components precisely along the compact part of the non-compact four-cycle "wrapped" by the flavor D7-branes, is what determines, e.g., the Einstein-Hilbert action at O$(R^4)$. The same linear combination of O$(R^4)$ metric corrections, upon matching the phenomenological value of the coupling constant of one of the SU(3) NLO ChPT Lagrangian, is required to have a definite sign. Interestingly, in the decompactification limit of the spatial circle, we ${\it derive}$ this, and obtain the values of the relevant O$(R^4)$ metric corrections. Further, equivalence with Wald entropy for the black hole at ${\cal O}(R^4)$ imposes a linear constraint on the same linear combination of metric corrections. Remarkably, when evaluating $T_c$ from an entanglement entropy computation in the thermal gravity dual, due to a delicate cancelation between the ${\cal O}(R^4)$ corrections from a subset of the abovementioned metric components, one sees that there are no corrections to $T_c$ at quartic order supporting the conjecture referred to above.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A holographic computation of $T_c$ at ${\it intermediate\ coupling}$ from M-theory dual of thermal QCD-like theories, has been missing in the literature. | gap 1.00 | 0.04 | 0.05 | asserted 1.00 |
| s1 | Filling this gap, we demonstrate a novel UV-IR mixing, (conjecture and provide evidence for) a non-renormalization beyond 1 loop of ${\bf M}-{\bf c}$hiral perturbation theory arXiv:2011.04660[hep-th]-compatible deconfinement ${\bf T}$emperature, and show equivalence with an ${\bf E}$ntanglement (as well as Wald) entropy arXiv:0709.2140[hep-th] computation, up to terms ${\bf Q}$uartic in curvature. | contribution 0.90 | 0.93 | 0.68 | asserted 0.80 |
| s2 | We demonstrate a ${\bf F}$lavor-${\bf M}$emory (FM) effect in the M-theory uplifts of the gravity duals, wherein the no-braner M-theory uplift retains the "memory" of the flavor D7-branes of the parent type IIB dual in the sense that a specific combination of the aforementioned quartic corrections to the metric components precisely along the compact part of the non-compact four-cycle "wrapped" by the flavor D7-branes, is what determines, e.g., the Einstein-Hilbert action at O$(R^4)$. | result 0.63 | 0.92 | 0.18 | asserted 1.00 |
| s3 | The same linear combination of O$(R^4)$ metric corrections, upon matching the phenomenological value of the coupling constant of one of the SU(3) NLO ChPT Lagrangian, is required to have a definite sign. | result 0.89 | 0.79 | 0.09 | asserted 0.99 |
| s4 | Interestingly, in the decompactification limit of the spatial circle, we ${\it derive}$ this, and obtain the values of the relevant O$(R^4)$ metric corrections. | result 0.53 | 0.96 | 0.07 | asserted 1.00 |
| s5 | Further, equivalence with Wald entropy for the black hole at ${\cal O}(R^4)$ imposes a linear constraint on the same linear combination of metric corrections. | result 0.80 | 0.80 | 0.10 | asserted 1.00 |
| s6 | Remarkably, when evaluating $T_c$ from an entanglement entropy computation in the thermal gravity dual, due to a delicate cancelation between the ${\cal O}(R^4)$ corrections from a subset of the abovementioned metric components, one sees that there are no corrections to $T_c$ at quartic order supporting the conjecture referred to above. | result 0.99 | 0.94 | 0.62 | asserted 0.98 |
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Original abstract
A holographic computation of $T_c$ at ${\it intermediate\ coupling}$ from M-theory dual of thermal QCD-like theories, has been missing in the literature. Filling this gap, we demonstrate a novel UV-IR mixing, (conjecture and provide evidence for) a non-renormalization beyond 1 loop of ${\bf M}-{\bf c}$hiral perturbation theory arXiv:2011.04660[hep-th]-compatible deconfinement ${\bf T}$emperature, and show equivalence with an ${\bf E}$ntanglement (as well as Wald) entropy arXiv:0709.2140[hep-th] computation, up to terms ${\bf Q}$uartic in curvature. We demonstrate a ${\bf F}$lavor-${\bf M}$emory (FM) effect in the M-theory uplifts of the gravity duals, wherein the no-braner M-theory uplift retains the "memory" of the flavor D7-branes of the parent type IIB dual in the sense that a specific combination of the aforementioned quartic corrections to the metric components precisely along the compact part of the non-compact four-cycle "wrapped" by the flavor D7-branes, is what determines, e.g., the Einstein-Hilbert action at O$(R^4)$. The same linear combination of O$(R^4)$ metric corrections, upon matching the phenomenological value of the coupling constant of one of the SU(3) NLO ChPT Lagrangian, is required to have a definite sign. Interestingly, in the decompactification limit of the spatial circle, we ${\it derive}$ this, and obtain the values of the relevant O$(R^4)$ metric corrections. Further, equivalence with Wald entropy for the black hole at ${\cal O}(R^4)$ imposes a linear constraint on the same linear combination of metric corrections. Remarkably, when evaluating $T_c$ from an entanglement entropy computation in the thermal gravity dual, due to a delicate cancelation between the ${\cal O}(R^4)$ corrections from a subset of the abovementioned metric components, one sees that there are no corrections to $T_c$ at quartic order supporting the conjecture referred to above.
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How the literature uses it
10 arXiv papers cite this in 48 sentences
Papers citing it · 38 sentences without a confident label
Builds on it 1 paper
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* $M$-theory metric involving a cylindrical thermal gravitational background in the MQGP limit can be obtained from the $M$-theory metric involving a thermal background given in [ref] just by replacing $x^3$ by $l ϕ$ in [ref] .
Deconfinement Temperature of Rotating QGP at Intermediate Coupling from ${\cal M}$-Theory · $M$-Theory Metric · 0.84
Uses its method or tool 3 papers
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For the completeness we are going to discuss the holographic renormalization of the $O(β)$ terms in the on-shell action for the cylindrical thermal background[The discussion closely follows [ref] .].
Deconfinement Temperature of Rotating QGP at Intermediate Coupling from ${\cal M}$-Theory · Thermal Background · 0.89
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Wald entropy of the four dimensional charged black hole in higher derivative gravity can be calculated using the formula given in [ref] and used in [ref] to calculate Wald entropy in the presence of $O(R^4)$ terms in $M$-theory action [ref] .
Page Curves of Reissner-Nordstr\"om Black Hole in HD Gravity · Page Curves of Charged Black Hole in HD Gravity up to $O(R^2)$ · 0.91
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In [ref] , we computed the deconfinement temperature of thermal QCD-like theories at intermediate coupling from $M$ theory dual inclusive of $O(R^4)$ corrections using Witten's prescription [ref] in the absence of rotation.
Aspects of Thermal QCD Phenomenology at Intermediate Gauge/'t Hooft Coupling from String/M-Theory, (HD) Gravity Islands, and Multiverse · Introduction · 0.93
Compares with it 2 papers
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At $O(β)$, the UV finite on-shell action densities for the rotating cylindrical black hole and thermal backgrounds are as follows: [equation] In a manner analogous to that of the $O(β^0)$ scenario ([ref]), comparing on-shell action density results of $O(β)$ terms occurring in ([ref]) at the ultraviolet (UV) cut-off, i.e., [equation] We got the following results using the equations ([ref]) and ([ref]): [equation] The “UV-IR” mixing that is described in the equation ([ref]) is almost identical to the UV-IR mixing that is described in [ref] and discussed earlier in this chapter.
Aspects of Thermal QCD Phenomenology at Intermediate Gauge/'t Hooft Coupling from String/M-Theory, (HD) Gravity Islands, and Multiverse · UV-IR Mixing, Flavor Memory Effect and Non-Renormalization of $T_c$ in Rotating QGP · 0.80
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Since at $O(β)$ our results are same as in [ref] in the small $ω$-limit as discussed in the section 4 in this paper.
Deconfinement Temperature of Rotating QGP at Intermediate Coupling from ${\cal M}$-Theory · Black hole Background · 1.00
Cites it as background 3 papers
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The model [ref] has been reviewed in [ref] and the latter references are applications of the same.
Entanglement entropy and Page curve from the ${\cal M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling · Introduction and Motivation · 0.95
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In this appendix we summarize the pair of computations carried out in [ref] pertaining to evaluation of the deconfinement temperature from $M$ theory - (i) a semi-classical computation involving a Hawking-Page phase transition between the thermal background dual to low-temperature QCD-like theories at $T<T_c$, and black-hole background dual to high-temperature QCD-like theories at $T>T_c$, and (ii) from the entanglement entropy between and a spatial interval and its complement.
Bulk Viscosity, Speed of Sound and Contact Structure at Intermediate Coupling · Computation of $T_c$ from $M$ Theory at Intermediate Coupling · 0.82
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We reviewed these works in our previous paper [ref] .
Deconfinement Temperature of Rotating QGP at Intermediate Coupling from ${\cal M}$-Theory · Review of Holographic Dual of Large-$N$ Thermal QCD-Like Theories at Intermediate Coupling · 0.90
What it cites · 92 sentences without a confident label
Builds on 1 paper
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Equation $([ref])$ can be generalised to non-conformal theories as below [ref] : [equation] where $ϕ$ is the dilaton profile.
Entanglement as a Probe of Confinement · Deconfinement from Entanglement Entropy · 0.96
Uses the method or tool of 3 papers
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In this section we will explain how to calculate deconfinement temperature in QCD-like theory via gauge/gravity duality and holographic renormalization of the eleven dimensional supergravity action using a semiclassical computation as advocated by Witten [ref] .
Anti-de Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories · $ℳ$-Theory Duals at Low ($T<T_c$ on the gauge theory side) and High ($T>T_c$ on the gauge theory side) Temperatures · 0.85
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There is a prescription to calculate entanglement entropy from AdS/CFT correspondence given by Ryu and Takayanagi in [ref] .
Holographic Derivation of Entanglement Entropy from AdS/CFT · Introduction · 0.86
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Working in the $A_Z(x^μ,Z)=0$-gauge, integrating out all higher order vector and axial vector meson fields except keeping only the lowest vector meson field [ref] $V_μ^(1)(x^μ) = g ρ_μ(x^μ) = ([ 1/√(2)(ρ_μ^0 + ω_μ) ρ_μ^+ K_μ^*+; ρ_μ^- -1/√(2)(ρ_μ^0 - ω_μ) K_μ^*0; K_μ^*- K̅_μ^*0 ϕ_μ ] )$ and lightest pseudo-scalar meson field i.e. $π= 1/√(2)([ 1/√(2)π^0 + 1/√(6)η_8 + 1/√(3)η_0 π^+ K^+; π^- -1/√(2)π^0 + 1/√(6)η_8 + 1/√(3)η_0 K^0; K^- K̅^0 -2/√(6)η_8 + 1/√(3)η_0 ])$ meson, the gauge field $A_μ(x^ν,Z)$ up to $O(π)$ is given by: [equation] where $ψ_0(z) = ∫^Z_0 dZ^'ϕ_0(Z^'), V_μ^(1)(x^ν) = ρ^(1)_μ- 1/M_(1)∂_μπ^(1)$.
Holographic QCD Integrated back to Hidden Local Symmetry · $ℳχ$PT Compatibility · 0.88
Compares with 1 paper
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We will now show consistency between the solutions to the EOMs for $O(R^4)$ metric perturbations as given in ([ref]) and the ones obtained by taking $g̃(r)→1$-limit of the $O(R^4)$ corrections to ([ref]) as obtained in [ref] .
(Phenomenology/Lattice-Compatible) $SU(3)$ M$\chi$PT HD up to ${\cal O}(p^4)$ and the ${\cal O}\left(R^4\right)$-Large-$N$ Connection · Thermal $f_MN$ EOMs, their Solutions in the IR, $4D$-Limit and $ℳχ$PT Compatibility · 0.95
Cites as background 13 papers
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In Section 2, we review the basic setup and results of [ref] inclusive of a summary of the results of [ref] on the conjectured $SL(2,ℤ)$ completion of the $D=11$ supergravity action by studying four-graviton scattering in a D-instanton background and a non-renormalization beyond one loop at $O(R^4)$ in the zero-instanton sector.
Effects of D-instantons · Introduction · 0.97
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In Section 2, we review the basic setup and results of [ref] inclusive of a summary of the results of [ref] on the conjectured $SL(2,ℤ)$ completion of the $D=11$ supergravity action by studying four-graviton scattering in a D-instanton background and a non-renormalization beyond one loop at $O(R^4)$ in the zero-instanton sector.
On ${\cal M}$-Theory Dual of Large-$N$ Thermal QCD-Like Theories up to ${\cal O}(R^4)$ and $G$-Structure Classification of Underlying Non-Supersymmetric Geometries · Introduction · 0.97
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In Section 2, we review the basic setup and results of [ref] inclusive of a summary of the results of [ref] on the conjectured $SL(2,ℤ)$ completion of the $D=11$ supergravity action by studying four-graviton scattering in a D-instanton background and a non-renormalization beyond one loop at $O(R^4)$ in the zero-instanton sector.
D-instantons, Strings and M-theory · Introduction · 0.97
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