Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

Cartwright, Casey; Harms, Benjamin; Kaminski, Matthias

doi:10.1007/jhep03(2021)229

Title: Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

Journal Article · Wed Mar 24 00:00:00 EDT 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2021)229· OSTI ID:1851624

^[1]; Harms, Benjamin ^[1]; Kaminski, Matthias ^[1]

Univ. of Alabama, Tuscaloosa, AL (United States). Dept. of Physics and Astronomy

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.

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Research Organization:: Univ. of Alabama, Tuscaloosa, AL (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0012447

OSTI ID:: 1851624

Journal Information:: Journal of High Energy Physics (Online), Vol. 2021, Issue 3; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (84)

Anti-de Sitter space, thermal phase transition, and confinement in gauge theories Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 3 https://doi.org/10.4310/ATMP.1998.v2.n3.a3	journal	January 1998
Fate of false vacua in holographic first-order phase transitions Bigazzi, Francesco; Caddeo, Alessio; Cotrone, Aldo L. Journal of High Energy Physics, Vol. 2020, Issue 12 https://doi.org/10.1007/JHEP12(2020)200	journal	December 2020
Towards Skyrmion stars: Large baryon configurations in the Einstein-Skyrme model Piette, Bernard M. A. G.; Probert, Gavin I. Physical Review D, Vol. 75, Issue 12 https://doi.org/10.1103/PhysRevD.75.125023	journal	June 2007
Black holes have skyrmion hair Luckock, Hugh; Moss, Ian Physics Letters B, Vol. 176, Issue 3-4 https://doi.org/10.1016/0370-2693(86)90175-9	journal	August 1986
Rotating AdS-Einstein universes from constrained metrics Harms, Benjamin Physical Review D, Vol. 99, Issue 12 https://doi.org/10.1103/PhysRevD.99.124021	journal	June 2019
Holographic entanglement entropy: an overview Nishioka, Tatsuma; Ryu, Shinsei; Takayanagi, Tadashi Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50 https://doi.org/10.1088/1751-8113/42/50/504008	journal	December 2009
Topological insulators and superconductors from D-brane Ryu, Shinsei; Takayanagi, Tadashi Physics Letters B, Vol. 693, Issue 2 https://doi.org/10.1016/j.physletb.2010.08.019	journal	September 2010
Skyrmion black hole hair: Conservation of baryon number by black holes and observable manifestations Dvali, Gia; Gußmann, Alexander Nuclear Physics B, Vol. 913 https://doi.org/10.1016/j.nuclphysb.2016.10.017	journal	December 2016
Low Energy Hadron Physics in Holographic QCD Sakai, T.; Sugimoto, S. Progress of Theoretical Physics, Vol. 113, Issue 4 https://doi.org/10.1143/PTP.113.843	journal	April 2005
Analytic self-gravitating 4-Baryons, traversable NUT-AdS wormholes, flat space-time multi-Skyrmions at finite volume and a novel transition in the SU(3)-Skyrme model Ayón-Beato, E.; Canfora, F.; Lagos, M. The European Physical Journal C, Vol. 80, Issue 5 https://doi.org/10.1140/epjc/s10052-020-7926-6	journal	May 2020
Holography, thermodynamics, and fluctuations of charged AdS black holes Chamblin, Andrew; Emparan, Roberto; Johnson, Clifford V. Physical Review D, Vol. 60, Issue 10 https://doi.org/10.1103/PhysRevD.60.104026	journal	October 1999
Holographic phase transitions at finite baryon density Kobayashi, Shinpei; Mateos, David; Matsuura, Shunji Journal of High Energy Physics, Vol. 2007, Issue 02 https://doi.org/10.1088/1126-6708/2007/02/016	journal	February 2007
Hydrodynamics of R-charged black holes Son, Dam T.; Starinets, Andrei O. Journal of High Energy Physics, Vol. 2006, Issue 03 https://doi.org/10.1088/1126-6708/2006/03/052	journal	March 2006
Gravitating skyrmions Bizon, P.; Chmaj, T. Physics Letters B, Vol. 297, Issue 1-2 https://doi.org/10.1016/0370-2693(92)91069-L	journal	December 1992
Symmetry-Protected Topological Phases of Quantum Matter Senthil, T. Annual Review of Condensed Matter Physics, Vol. 6, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031214-014740	journal	March 2015
Chiral Phase Transition from String Theory Parnachev, Andrei; Sahakyan, David A. Physical Review Letters, Vol. 97, Issue 11 https://doi.org/10.1103/PhysRevLett.97.111601	journal	September 2006
Holographic QCD with dynamical flavors Bigazzi, Francesco; Cotrone, Aldo L. Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)104	journal	January 2015
Flavor superconductivity from gauge/gravity duality Ammon, Martin; Erdmenger, Johanna; Kerner, Patrick Journal of High Energy Physics, Vol. 2009, Issue 10 https://doi.org/10.1088/1126-6708/2009/10/067	journal	October 2009
SU(3) Einstein-Skyrme solitons and black holes Kleihaus, Burkhard; Kunz, Jutta; Sood, Abha Physics Letters B, Vol. 352, Issue 3-4 https://doi.org/10.1016/0370-2693(95)00513-K	journal	June 1995
Spinning gravitating skyrmions Ioannidou, Theodora; Kleihaus, Burkhard; Kunz, Jutta Physics Letters B, Vol. 643, Issue 3-4 https://doi.org/10.1016/j.physletb.2006.10.055	journal	December 2006
Meronic Einstein-Yang-Mills black hole in 5D and gravitational spin from isospin effect Canfora, Fabrizio; Gomberoff, Andrés; Oh, Seung Hun Journal of High Energy Physics, Vol. 2019, Issue 6 https://doi.org/10.1007/JHEP06(2019)081	journal	June 2019
Spinning σ-model solitons in 2 + 1 anti-de Sitter space Harms, B.; Stern, A. Physics Letters B, Vol. 763 https://doi.org/10.1016/j.physletb.2016.10.075	journal	December 2016
Black holes in higher dimensional space-times Myers, R. C.; Perry, M. J. Annals of Physics, Vol. 172, Issue 2 https://doi.org/10.1016/0003-4916(86)90186-7	journal	December 1986
Topological Entanglement Entropy Kitaev, Alexei; Preskill, John Physical Review Letters, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevLett.96.110404	journal	March 2006
SKYRMION AND SKYRME-BLACK HOLES IN de SITTER SPACETIME Brihaye, Yves; Delsate, Terence Modern Physics Letters A, Vol. 21, Issue 27 https://doi.org/10.1142/S0217732306021426	journal	September 2006
Anomalous Hydrodynamics and Normal Fluids in Rapidly Rotating Bose-Einstein Condensates Bourne, A.; Wilkin, N. K.; Gunn, J. M. F. Physical Review Letters, Vol. 96, Issue 24 https://doi.org/10.1103/PhysRevLett.96.240401	journal	June 2006
Topological Solitons Manton, Nicholas; Sutcliffe, Paul https://doi.org/10.1017/CBO9780511617034	book	January 2010
Gravity dual of the chiral anomaly Klebanov, Igor R.; Ouyang, Peter; Witten, Edward Physical Review D, Vol. 65, Issue 10 https://doi.org/10.1103/PhysRevD.65.105007	journal	April 2002
Hydrodynamics with Triangle Anomalies Son, Dam T.; Surówka, Piotr Physical Review Letters, Vol. 103, Issue 19 https://doi.org/10.1103/PhysRevLett.103.191601	journal	November 2009
Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence de Haro, Sebastian; Skenderis, Kostas; Solodukhin, Sergey N. Communications in Mathematical Physics, Vol. 217, Issue 3 https://doi.org/10.1007/s002200100381	journal	March 2001
Quasinormal modes of charged magnetic black branes & chiral magnetic transport Ammon, Martin; Kaminski, Matthias; Koirala, Roshan Journal of High Energy Physics, Vol. 2017, Issue 4 https://doi.org/10.1007/JHEP04(2017)067	journal	April 2017
Classical solutions of $SU (2)$ Yang—Mills theories Actor, Alfred Reviews of Modern Physics, Vol. 51, Issue 3 https://doi.org/10.1103/RevModPhys.51.461	journal	July 1979
Phase diagram of 4D field theories with chiral anomaly from holography Ammon, Martin; Leiber, Julian; Macedo, Rodrigo P. Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)164	journal	March 2016
The fast life of holographic mesons Myers, Robert C.; Sinha, Aninda Journal of High Energy Physics, Vol. 2008, Issue 06 https://doi.org/10.1088/1126-6708/2008/06/052	journal	June 2008
Entropy production far from equilibrium in a chiral charged plasma in the presence of external electromagnetic fields Cartwright, Casey Journal of High Energy Physics, Vol. 2021, Issue 1 https://doi.org/10.1007/JHEP01(2021)041	journal	January 2021
The first law of thermodynamics for Kerr–anti-de Sitter black holes Gibbons, G. W.; Perry, M. J.; Pope, C. N. Classical and Quantum Gravity, Vol. 22, Issue 9 https://doi.org/10.1088/0264-9381/22/9/002	journal	May 2005
Stability analysis of self-gravitating skyrmions Heusler, Markus; Droz, Serge; Straumann, Norbert Physics Letters B, Vol. 271, Issue 1-2 https://doi.org/10.1016/0370-2693(91)91278-4	journal	November 1991
Holographic chiral phase transition with chemical potential Horigome, Norio; Tanii, Yoshiaki Journal of High Energy Physics, Vol. 2007, Issue 01 https://doi.org/10.1088/1126-6708/2007/01/072	journal	January 2007
Hairy AdS solitons Anabalón, Andrés; Astefanesei, Dumitru; Choque, David Physics Letters B, Vol. 762 https://doi.org/10.1016/j.physletb.2016.08.049	journal	November 2016
Topological Aspect of Black hole with Skyrme hair Duan, Yishi; Zhang, Xinhui; Zhao, Li International Journal of Modern Physics A, Vol. 21, Issue 28n29 https://doi.org/10.1142/S0217751X06033994	journal	November 2006
Towards a holographic dual of large- N _c QCD Kruczenski, Martin; Mateos, David; Myers, Robert C. Journal of High Energy Physics, Vol. 2004, Issue 05 https://doi.org/10.1088/1126-6708/2004/05/041	journal	May 2004
Holographic melting and related properties of mesons in a quark-gluon plasma Peeters, Kasper; Zamaklar, Marija; Sonnenschein, Jacob Physical Review D, Vol. 74, Issue 10 https://doi.org/10.1103/PhysRevD.74.106008	journal	November 2006
General supersymmetric AdS ₅ black holes Gutowski, Jan B.; Reall, Harvey S. Journal of High Energy Physics, Vol. 2004, Issue 04 https://doi.org/10.1088/1126-6708/2004/04/048	journal	April 2004
Non-extreme black holes of five-dimensional N = 2 AdS supergravity Behrndt, K.; Cvetič, M.; Sabra, W. A. Nuclear Physics B, Vol. 553, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00243-6	journal	July 1999
Critical Behavior in the Rotating D-Branes Cai, Rong-Gen; Soh, Kwang-Sup Modern Physics Letters A, Vol. 14, Issue 27 https://doi.org/10.1142/S0217732399001966	journal	September 1999
Black holes and asymptotics of $2 + 1$ gravity coupled to a scalar field Henneaux, Marc; Martínez, Cristián; Troncoso, Ricardo Physical Review D, Vol. 65, Issue 10 https://doi.org/10.1103/PhysRevD.65.104007	journal	April 2002
Analytic self-gravitating Skyrmions, cosmological bounces and AdS wormholes Ayón-Beato, Eloy; Canfora, Fabrizio; Zanelli, Jorge Physics Letters B, Vol. 752 https://doi.org/10.1016/j.physletb.2015.11.065	journal	January 2016
Rotation and the AdS-CFT correspondence Hawking, S. W.; Hunter, C. J.; Taylor-Robinson, M. M. Physical Review D, Vol. 59, Issue 6 https://doi.org/10.1103/PhysRevD.59.064005	journal	February 1999
The world as a hologram Susskind, Leonard Journal of Mathematical Physics, Vol. 36, Issue 11 https://doi.org/10.1063/1.531249	journal	November 1995
Some Exact Multipseudoparticle Solutions of Classical Yang-Mills Theory Witten, Edward Physical Review Letters, Vol. 38, Issue 3 https://doi.org/10.1103/PhysRevLett.38.121	journal	January 1977
Adding flavor to AdS/CFT Karch, Andreas; Katz, Emanuel Journal of High Energy Physics, Vol. 2002, Issue 06 https://doi.org/10.1088/1126-6708/2002/06/043	journal	June 2002
Topological order in a three-dimensional toric code at finite temperature Castelnovo, Claudio; Chamon, Claudio Physical Review B, Vol. 78, Issue 15 https://doi.org/10.1103/PhysRevB.78.155120	journal	October 2008
AdS solitons with conformal scalar hair Brihaye, Yves; Hartmann, Betti; Tojiev, Sardor Physical Review D, Vol. 88, Issue 10 https://doi.org/10.1103/PhysRevD.88.104006	journal	November 2013
Topological entanglement entropy and holography Pakman, Ari; Parnachev, Andrei Journal of High Energy Physics, Vol. 2008, Issue 07 https://doi.org/10.1088/1126-6708/2008/07/097	journal	July 2008
Real-time gauge/gravity duality: prescription, renormalization and examples Skenderis, Kostas; Rees, Balt C. van Journal of High Energy Physics, Vol. 2009, Issue 05 https://doi.org/10.1088/1126-6708/2009/05/085	journal	May 2009
Growing hair on the extremal BTZ black hole Harms, B.; Stern, A. Physics Letters B, Vol. 769 https://doi.org/10.1016/j.physletb.2017.04.021	journal	June 2017
Solitons and black holes in a generalized Skyrme model with dilaton-quarkonium field Doneva, Daniela D.; Stefanov, Ivan Zh.; Yazadjiev, Stoytcho S. Physical Review D, Vol. 83, Issue 12 https://doi.org/10.1103/PhysRevD.83.124007	journal	June 2011
Holographic quark gluon plasma with flavor Kaminski, M. Fortschritte der Physik, Vol. 57, Issue 1-2 https://doi.org/10.1002/prop.200810571	journal	October 2008
Baryons in holographic QCD Nawa, Kanabu; Suganuma, Hideo; Kojo, Toru Physical Review D, Vol. 75, Issue 8 https://doi.org/10.1103/PhysRevD.75.086003	journal	April 2007
Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality Apreda, Riccardo; Erdmenger, Johanna; Evans, Nick Physical Review D, Vol. 71, Issue 12 https://doi.org/10.1103/PhysRevD.71.126002	journal	June 2005
A non-linear field theory Skyrme, T. H. R. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 260, Issue 1300, p. 127-138 https://doi.org/10.1098/rspa.1961.0018	journal	February 1961
Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids Garbiso, Markus; Kaminski, Matthias Journal of High Energy Physics, Vol. 2020, Issue 12 https://doi.org/10.1007/JHEP12(2020)112	journal	December 2020
Kerr-AdS/CFT correspondence in diverse dimensions Lü, H.; Mei, Jianwei; Pope, C. N. Journal of High Energy Physics, Vol. 2009, Issue 04 https://doi.org/10.1088/1126-6708/2009/04/054	journal	April 2009
Skyrme topological soliton coupled to gravity Glendenning, Norman K.; Kodama, Takeshi; Klinkhamer, Frans R. Physical Review D, Vol. 38, Issue 10 https://doi.org/10.1103/PhysRevD.38.3226	journal	November 1988
A New Phase at a Finite Quark Density from AdS/CFT Nakamura, Shin; Yogendran, K. P.; Seo, Yunseok Journal of the Korean Physical Society, Vol. 52, Issue 6 https://doi.org/10.3938/jkps.52.1734	journal	June 2008
Holographic fractional topological insulators in $2 + 1$ and $1 + 1$ dimensions Karch, Andreas; Maciejko, Joseph; Takayanagi, Tadashi Physical Review D, Vol. 82, Issue 12 https://doi.org/10.1103/PhysRevD.82.126003	journal	December 2010
Thermodynamics of black holes in anti-de Sitter space Hawking, S. W.; Page, Don N. Communications in Mathematical Physics, Vol. 87, Issue 4 https://doi.org/10.1007/BF01208266	journal	December 1983
Finite baryon and isospin chemical potential in AdS/CFT with flavor Erdmenger, Johanna; Kaminski, Matthias; Kerner, Patrick Journal of High Energy Physics, Vol. 2008, Issue 11 https://doi.org/10.1088/1126-6708/2008/11/031	journal	November 2008
The holographic Weyl anomaly Henningson, M.; Skenderis, K. Journal of High Energy Physics, Vol. 1998, Issue 07 https://doi.org/10.1088/1126-6708/1998/07/023	journal	July 1998
Supersymmetric AdS ₅ black holes Gutowski, Jan B.; Reall, Harvey S. Journal of High Energy Physics, Vol. 2004, Issue 02 https://doi.org/10.1088/1126-6708/2004/02/006	journal	February 2004
Black hole Skyrmion in a generalized Skyrme model Gudnason, Sven Bjarke; Nitta, Muneto; Sawado, Nobuyuki Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/JHEP09(2016)055	journal	September 2016
Spin hydrodynamic generation Takahashi, R.; Matsuo, M.; Ono, M. Nature Physics, Vol. 12, Issue 1 https://doi.org/10.1038/nphys3526	journal	November 2015
A bogomolny bound for general relativity and solitons in N=2 supergravity Gibbons, G. W.; Hull, C. M. Physics Letters B, Vol. 109, Issue 3 https://doi.org/10.1016/0370-2693(82)90751-1	journal	February 1982
A Stress Tensor for Anti-de Sitter Gravity Balasubramanian, Vijay; Kraus, Per Communications in Mathematical Physics, Vol. 208, Issue 2 https://doi.org/10.1007/s002200050764	journal	December 1999
Thermodynamics of asymptotically locally AdS spacetimes Papadimitriou, Ioannis; Skenderis, Kostas Journal of High Energy Physics, Vol. 2005, Issue 08 https://doi.org/10.1088/1126-6708/2005/08/004	journal	August 2005
Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field Fuini, John F.; Yaffe, Laurence G. Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)116	journal	July 2015
Superconductivity from gauge/gravity duality with flavor Ammon, Martin; Erdmenger, Johanna; Kaminski, Matthias Physics Letters B, Vol. 680, Issue 5 https://doi.org/10.1016/j.physletb.2009.09.029	journal	October 2009
Quantum entanglement and topological entanglement Kauffman, Louis H.; Lomonaco, Samuel J. New Journal of Physics, Vol. 4 https://doi.org/10.1088/1367-2630/4/1/373	journal	January 2002
Phases of R-charged black holes, spinning branes and strongly coupled gauge theories Cvetic, Mirjam; Gubser, Steven S. Journal of High Energy Physics, Vol. 1999, Issue 04 https://doi.org/10.1088/1126-6708/1999/04/024	journal	April 1999
Thermodynamics of spinning D3-branes Gubser, Steven S. Nuclear Physics B, Vol. 551, Issue 3 https://doi.org/10.1016/S0550-3213(99)00194-7	journal	July 1999
Quantization of the massive Yang-Mills field in arbitrary gauges Shizuya, Ken-ichi Nuclear Physics B, Vol. 94, Issue 2 https://doi.org/10.1016/0550-3213(75)90492-7	journal	August 1975
Gauge/Gravity Duality Ammon, Martin; Erdmenger, Johanna https://doi.org/10.1017/CBO9780511846373	book	May 2015
A holographic model of deconfinement and chiral symmetry restoration Aharony, Ofer; Sonnenschein, Jacob; Yankielowicz, Shimon Annals of Physics, Vol. 322, Issue 6 https://doi.org/10.1016/j.aop.2006.11.002	journal	June 2007
Baryons from Instantons in Holographic QCD Hata, H.; Sakai, T.; Sugimoto, S. Progress of Theoretical Physics, Vol. 117, Issue 6 https://doi.org/10.1143/PTP.117.1157	journal	June 2007

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Title: Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

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