RECORD
A New Paradigm for Topological or Rotational Non-Abelian Gauge Fields from Einstein-Skyrme Holography
High Energy Physics - Theory · Submitted 7 Oct 2020
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials. In the holographically dual gravity theory, these are analytic solutions to a five-dimensional non-linear-sigma (Skyrme) model dynamically coupled to Einstein gravity. This theory is shown to be holographically dual to $\mathcal{N}=4$ Super-Yang-Mills theory coupled to an $SU(2)$-current. All solutions are fully backreacted asymptotically Anti-de Sitter~(AdS) black branes or holes. One family of global AdS black hole solutions contains non-Abelian gauge field configurations with positive integer Chern numbers and finite energy density. Larger Chern numbers increase the Hawking-Page transition temperature. In the holographically dual field theory this indicates a significant effect on the deconfinement phase transition. Black holes with one Hawking temperature can have distinct Chern numbers, potentially enabling topological transitions. A second family of analytic solutions, rotating black branes, is also provided. These rotating solutions induce states with propagating charge density waves in the dual field theory. We compute the Hawking temperature, entropy density, angular velocity and free energy for these black holes/branes. These correspond to thermodynamic data in the dual field theory. For these states the energy-momentum tensor, (non-)conserved current, and topological charge are interpreted.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials. | contribution 0.57 | 0.78 | 0.41 | hedged possibility 0.99 |
| s1 | In the holographically dual gravity theory, these are analytic solutions to a five-dimensional non-linear-sigma (Skyrme) model dynamically coupled to Einstein gravity. | method 0.76 | 0.48 | 0.07 | asserted 1.00 |
| s2 | This theory is shown to be holographically dual to $\mathcal{N}=4$ Super-Yang-Mills theory coupled to an $SU(2)$-current. | method 0.59 | 0.66 | 0.08 | asserted 1.00 |
| s3 | All solutions are fully backreacted asymptotically Anti-de Sitter~(AdS) black branes or holes. | result 0.72 | 0.72 | 0.08 | asserted 1.00 |
| s4 | One family of global AdS black hole solutions contains non-Abelian gauge field configurations with positive integer Chern numbers and finite energy density. | result 0.66 | 0.82 | 0.18 | asserted 1.00 |
| s5 | Larger Chern numbers increase the Hawking-Page transition temperature. | result 0.98 | 0.80 | 0.12 | asserted 1.00 |
| s6 | In the holographically dual field theory this indicates a significant effect on the deconfinement phase transition. | interpretation 1.00 | 0.57 | 0.14 | hedged possibility 0.92 |
| s7 | Black holes with one Hawking temperature can have distinct Chern numbers, potentially enabling topological transitions. | result 0.65 | 0.76 | 0.14 | hedged possibility 0.88 |
| s8 | A second family of analytic solutions, rotating black branes, is also provided. | contribution 0.90 | 0.91 | 0.04 | asserted 1.00 |
| s9 | These rotating solutions induce states with propagating charge density waves in the dual field theory. | result 0.51 | 0.79 | 0.08 | asserted 1.00 |
| s10 | We compute the Hawking temperature, entropy density, angular velocity and free energy for these black holes/branes. | contribution 0.51 | 0.96 | 0.05 | asserted 1.00 |
| s11 | These correspond to thermodynamic data in the dual field theory. | interpretation 0.92 | 0.65 | 0.06 | asserted 1.00 |
| s12 | For these states the energy-momentum tensor, (non-)conserved current, and topological charge are interpreted. | interpretation 0.80 | 0.82 | 0.07 | asserted 0.99 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials. In the holographically dual gravity theory, these are analytic solutions to a five-dimensional non-linear-sigma (Skyrme) model dynamically coupled to Einstein gravity. This theory is shown to be holographically dual to $\mathcal{N}=4$ Super-Yang-Mills theory coupled to an $SU(2)$-current. All solutions are fully backreacted asymptotically Anti-de Sitter~(AdS) black branes or holes. One family of global AdS black hole solutions contains non-Abelian gauge field configurations with positive integer Chern numbers and finite energy density. Larger Chern numbers increase the Hawking-Page transition temperature. In the holographically dual field theory this indicates a significant effect on the deconfinement phase transition. Black holes with one Hawking temperature can have distinct Chern numbers, potentially enabling topological transitions. A second family of analytic solutions, rotating black branes, is also provided. These rotating solutions induce states with propagating charge density waves in the dual field theory. We compute the Hawking temperature, entropy density, angular velocity and free energy for these black holes/branes. These correspond to thermodynamic data in the dual field theory. For these states the energy-momentum tensor, (non-)conserved current, and topological charge are interpreted.
Human review
How the literature uses it
3 arXiv papers cite this in 13 sentences
Papers citing it · 9 sentences without a confident label
Contests it 1 paper
-
Also, the factor $1/β$ in figure 4 of [ref] should be removed from the vertical axis label. ] [equation] where $F_thermal=3π^2 L^2 / (4κ^2 )$ and $κ^2=8πG_5$.
Topological confinement in Skyrme holography · Phase transition in our model · contest 0.86
Cites it as background 2 papers
-
In this section, we remind the reader of an interpretation of our solution from section [ref] in the holographically dual field theory as given in [ref] , where this topic is expounded upon in much further detail.
Topological confinement in Skyrme holography · Holographic interpretation · 0.94
-
A similar object can also be found in the holography theory, known as Skyrme black brane where a Skyrme model coupled with gravity in asymptotically five-dimensional AdS spacetime [ref] .
BPS Skyrmions of Generalized Skyrme Model In Higher Dimensions · Introduction · 0.81
What it cites · 103 sentences without a confident label
Uses the method or tool of 10 papers
-
This is facilitated by an invertible map from the Einstein-Skyrme action to the Einstein-Yang-Mills action [ref] , which we discuss in section [ref] and which we show explicitly for our solutions in section [ref].
Gravitating Meron-like topological solitons in massive Yang-Mills theory and the Einstein-Skyrme model · Introduction · 0.89
-
As the second analytic solution, we then describe a rotating Skyrme-$AdS_5$ black brane with Skyrmion hair which is obtained by utilizing a constraint previously found by one of the current authors [ref] in section [ref].
Spinning $\sigma$-model solitons in $2+1$ Anti-de Sitter space · Introduction · 0.82
-
As the second analytic solution, we then describe a rotating Skyrme-$AdS_5$ black brane with Skyrmion hair which is obtained by utilizing a constraint previously found by one of the current authors [ref] in section [ref].
Growing Hair on the extremal $BTZ$ black hole · Introduction · 0.82
Compares with 13 papers
-
(3.3) in [ref] and Taylor expand it around $(z,X1,X2,X3)=0⃗$, with $Z=1$, [equation] Now take our $SU(2)$ group element $U$ and use the coordinate transformation above and series expand around $α=0$ and take the leading order contribution in $α$, [equation] Finally, inverting all coordinates, $(x_1,x_2,x_3)→(-x_1,-x_2,-x_3)$, gives, [equation] Now we squint our eyes a bit, remove the counting parameter by setting $α=1$, and ignore overall factors, attributing them to the brane embedding.
Baryons from instantons in holographic QCD · Comparison to the Sakai/Sugimoto model · 1.00
-
It is important to note that Skyrmions appear in a distinct way in [ref] compared to previous approaches by Son/Stephanov and Sakai/Sugimoto which discuss Skyrmions on the field theory side of the gauge/gravity correspondence [ref] .
Spinning $\sigma$-model solitons in $2+1$ Anti-de Sitter space · Introduction · 0.99
-
It is important to note that Skyrmions appear in a distinct way in [ref] compared to previous approaches by Son/Stephanov and Sakai/Sugimoto which discuss Skyrmions on the field theory side of the gauge/gravity correspondence [ref] .
Growing Hair on the extremal $BTZ$ black hole · Introduction · 0.99
Cites as background 42 papers
-
In the simplified Yang-Mills-Chern-Simons action [ref] , the effective boundary theory action is identical to the Skyrme model, in which baryons appear as solitons, referred to as Skyrmions, as we reviewed in section [ref].
Baryons from instantons in holographic QCD · Comparison to the Sakai/Sugimoto model · 0.86
-
In [ref] the gravitational object which is dual to such Skyrmions is a $D4$-brane wrapped around an $S^4$ constructed as a soliton in the world-volume gauge theory of the probe $D8$-branes [ref] .
Low energy hadron physics in holographic QCD · Introduction · 0.90
-
There is a stack of $N$ D$4$-branes which generates an effective background metric, see [ref] , similar to the stack of $N$ D$3$-branes in the original correspondence [ref] .
The Large N Limit of Superconformal Field Theories and Supergravity · Comparison to the Sakai/Sugimoto model · 0.95
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.