Holographic Chern-Simons defects

Fujita, Mitsutoshi; Melby-Thompson, Charles M.; Meyer, René; Sugimoto, Shigeki

doi:10.1007/JHEP06(2016)163

Holographic Chern-Simons defects

Journal Article · Tue Jun 28 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP06(2016)163· OSTI ID:1326953

Fujita, Mitsutoshi ^[1]; Melby-Thompson, Charles M. ^[2]; Meyer, René ^[3]; Sugimoto, Shigeki ^[4]

Univ. of Kentucky, Lexington, KY (United States); Kyoto Univ., Kyoto (Japan); Stony Brook University, Stony Brook, New York 11794-3800, U.S.A.
Fudan Univ., Shanghai (China); The Univ. of Tokyo , Kashiwa (Japan)
Stony Brook Univ., Stony Brook, NY (United States); The Univ. of Tokyo, Kashiwa (Japan)
Kyoto Univ., Kyoto (Japan); The Univ. of Tokyo, Kashiwa (Japan)

Here, we study SU(N ) Yang-Mills-Chern-Simons theory in the presence of defects that shift the Chern-Simons level from a holographic point of view by embedding the system in string theory. The model is a D3-D7 system in Type IIB string theory, whose gravity dual is given by the AdS soliton background with probe D7 branes attaching to the AdS boundary along the defects. We holographically renormalize the free energy of the defect system with sources, from which we obtain the correlation functions for certain operators naturally associated to these defects. We find interesting phase transitions when the separation of the defects as well as the temperature are varied. We also discuss some implications for the Fractional Quantum Hall Effect and for 2-dimensional QCD.

View Accepted Manuscript (DOE)

Research Organization:: State Univ. of New York (SUNY), Albany, NY (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-88ER40388

OSTI ID:: 1326953

Alternate ID(s):: OSTI ID: 22610160

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 6 Vol. 2016; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (71)

Quantum field theory and the Jones polynomial Witten, Edward Communications in Mathematical Physics, Vol. 121, Issue 3 https://doi.org/10.1007/BF01217730	journal	September 1989
There are no Goldstone bosons in two dimensions Coleman, Sidney Communications in Mathematical Physics, Vol. 31, Issue 4 https://doi.org/10.1007/BF01646487	journal	December 1973
Chiral anomalies and AdS/CMT in two dimensions Jensen, Kristan Journal of High Energy Physics, Vol. 2011, Issue 1 https://doi.org/10.1007/JHEP01(2011)109	journal	January 2011
A holographic model for the fractional quantum Hall effect Lippert, Matthew; Meyer, René; Taliotis, Anastasios Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)023	journal	January 2015
Correlators of large N fermionic Chern-Simons vector models Gur-Ari, Guy; Yacoby, Ran Journal of High Energy Physics, Vol. 2013, Issue 2 https://doi.org/10.1007/JHEP02(2013)150	journal	February 2013
IR dualities in general 3d supersymmetric SU(N) QCD theories Aharony, Ofer; Fleischer, Daniel Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)162	journal	February 2015
Baryons, monopoles and dualities in Chern-Simons-matter theories Aharony, Ofer Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)093	journal	February 2016
The thermal free energy in large N Chern-Simons-matter theories Aharony, Ofer; Giombi, Simone; Gur-Ari, Guy Journal of High Energy Physics, Vol. 2013, Issue 3 https://doi.org/10.1007/JHEP03(2013)121	journal	March 2013
Holographic two dimensional QCD and Chern-Simons term Yee, Ho-Ung; Zahed, Ismail Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/JHEP07(2011)033	journal	July 2011
3d dualities from 4d dualities Aharony, Ofer; Razamat, Shlomo S.; Seiberg, Nathan Journal of High Energy Physics, Vol. 2013, Issue 7 https://doi.org/10.1007/JHEP07(2013)149	journal	July 2013
Defects in Chern-Simons theory, gauged WZW models on the brane, and level-rank duality Armoni, Adi; Niarchos, Vasilis Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)062	journal	July 2015
Phases of large N vector Chern-Simons theories on S 2 × S 1 Jain, Sachin; Minwalla, Shiraz; Sharma, Tarun Journal of High Energy Physics, Vol. 2013, Issue 9 https://doi.org/10.1007/JHEP09(2013)009	journal	September 2013
Comments on 3d Seiberg-like dualities Benini, Francesco; Closset, Cyril; Cremonesi, Stefano Journal of High Energy Physics, Vol. 2011, Issue 10 https://doi.org/10.1007/JHEP10(2011)075	journal	October 2011
Holographic anyonic superfluidity Jokela, Niko; Lifschytz, Gilad; Lippert, Matthew Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)014	journal	October 2013
Chern Simons duality with a fundamental boson and fermion Jain, Sachin; Minwalla, Shiraz; Yokoyama, Shuichi Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)037	journal	November 2013
Holographic entanglement entropy of multiple strips Ben-Ami, Omer; Carmi, Dean; Sonnenschein, Jacob Journal of High Energy Physics, Vol. 2014, Issue 11 https://doi.org/10.1007/JHEP11(2014)144	journal	November 2014
Correlation functions of large N Chern-Simons-Matter theories and bosonization in three dimensions Aharony, Ofer; Gur-Ari, Guy; Yacoby, Ran Journal of High Energy Physics, Vol. 2012, Issue 12 https://doi.org/10.1007/JHEP12(2012)028	journal	December 2012
Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity Rey, S. -J.; Yee, J. -T. The European Physical Journal C, Vol. 22, Issue 2 https://doi.org/10.1007/s100520100799	journal	November 2001
Topologically massive gauge theories Deser, S.; Jackiw, R.; Templeton, S. Annals of Physics, Vol. 140, Issue 2 https://doi.org/10.1016/0003-4916(82)90164-6	journal	May 1982
Group-level duality in WZW models and Chern-Simons theory Naculich, S. G.; Riggs, H. A.; Schnitzer, H. J. Physics Letters B, Vol. 246, Issue 3-4 https://doi.org/10.1016/0370-2693(90)90623-E	journal	August 1990
The large N limit of Chern-Simons gauge theory Camperi, Marcelo; Levstein, Fernando; Zemba, Guillermo Physics Letters B, Vol. 247, Issue 4 https://doi.org/10.1016/0370-2693(90)91899-M	journal	September 1990
A two-dimensional model for mesons 't Hooft, G. Nuclear Physics B, Vol. 75, Issue 3 https://doi.org/10.1016/0550-3213(74)90088-1	journal	June 1974
Consistent and covariant anomalies in gauge and gravitational theories Bardeen, William A.; Zumino, Bruno Nuclear Physics B, Vol. 244, Issue 2 https://doi.org/10.1016/0550-3213(84)90322-5	journal	October 1984
Anomalies and fermion zero modes on strings and domain walls Callan, C. G.; Harvey, J. A. Nuclear Physics B, Vol. 250, Issue 1-4 https://doi.org/10.1016/0550-3213(85)90489-4	journal	January 1985
Remarks on the canonical quantization of the Chern-Simons-Witten theory Elitzur, Shmuel; Moore, Gregory; Schwimmer, Adam Nuclear Physics B, Vol. 326, Issue 1 https://doi.org/10.1016/0550-3213(89)90436-7	journal	October 1989
Group-level duality of WZW fusion coefficients and Chern-Simons link observables Mlawer, Eli J.; Naculich, Stephen G.; Riggs, Harold A. Nuclear Physics B, Vol. 352, Issue 3 https://doi.org/10.1016/0550-3213(91)90110-J	journal	April 1991
Nonabelions in the fractional quantum hall effect Moore, Gregory; Read, Nicholas Nuclear Physics B, Vol. 360, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90407-O	journal	August 1991
Paired Hall states Greiter, Martin; Wen, X. G.; Wilczek, Frank Nuclear Physics B, Vol. 374, Issue 3 https://doi.org/10.1016/0550-3213(92)90401-V	journal	May 1992
Large N field theories, string theory and gravity Aharony, Ofer; Gubser, Steven S.; Maldacena, Juan Physics Reports, Vol. 323, Issue 3-4 https://doi.org/10.1016/S0370-1573(99)00083-6	journal	January 2000
Gauge theory correlators from non-critical string theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. Physics Letters B, Vol. 428, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00377-3	journal	May 1998
A Chern-Simons effective field theory for the Pfaffian quantum Hall state Fradkin, Eduardo; Nayak, Chetan; Tsvelik, Alexei Nuclear Physics B, Vol. 516, Issue 3 https://doi.org/10.1016/S0550-3213(98)00111-4	journal	April 1998
Gauge invariant variables and the Yang–Mills–Chern–Simons theory Karabali, Dimitra; Kim, Chanju; Nair, V. P. Nuclear Physics B, Vol. 566, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00701-4	journal	January 2000
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
Entanglement as a probe of confinement Klebanov, Igor R.; Kutasov, David; Murugan, Arvind Nuclear Physics B, Vol. 796, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2007.12.017	journal	June 2008
Seiberg duality in Chern–Simons theory Giveon, Amit; Kutasov, David Nuclear Physics B, Vol. 812, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2008.09.045	journal	May 2009
Lecture notes on holographic renormalization Skenderis, Kostas Classical and Quantum Gravity, Vol. 19, Issue 22 https://doi.org/10.1088/0264-9381/19/22/306	journal	November 2002
Wilson loops, confinement, and phase transitions in large N gauge theories from supergravity Brandhuber, Andreas; Itzhaki, Nissan; Sonnenschein, Jacob Journal of High Energy Physics, Vol. 1998, Issue 06 https://doi.org/10.1088/1126-6708/1998/06/001	journal	June 1998
Anti-de Sitter space and the center of the gauge group Aharony, Ofer; Witten, Edward Journal of High Energy Physics, Vol. 1998, Issue 11 https://doi.org/10.1088/1126-6708/1998/11/018	journal	November 1998
D-brane charges in five-brane backgrounds Maldacena, Juan; Seiberg, Nathan; Moore, Gregory Journal of High Energy Physics, Vol. 2001, Issue 10 https://doi.org/10.1088/1126-6708/2001/10/005	journal	October 2001
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
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
Aspects of holographic entanglement entropy Ryu, Shinsei; Takayanagi, Tadashi Journal of High Energy Physics, Vol. 2006, Issue 08 https://doi.org/10.1088/1126-6708/2006/08/045	journal	August 2006
AdS bubbles, entropy and closed string tachyons Nishioka, Tatsuma; Takayanagi, Tadashi Journal of High Energy Physics, Vol. 2007, Issue 01 https://doi.org/10.1088/1126-6708/2007/01/090	journal	January 2007
Level-rank duality of the U( N ) WZW model, Chern-Simons theory, and 2d qYM theory Naculich, Stephen G.; Schnitzer, Howard J. Journal of High Energy Physics, Vol. 2007, Issue 06 https://doi.org/10.1088/1126-6708/2007/06/023	journal	June 2007
Stringy NJL and Gross-Neveu models at finite density and temperature Davis, Joshua L.; Gutperle, Michael; Kraus, Per Journal of High Energy Physics, Vol. 2007, Issue 10 https://doi.org/10.1088/1126-6708/2007/10/049	journal	October 2007
Holographic gauge theories in background fields and surface operators Buchbinder, Evgeny I.; Gomis, Jaume; Passerini, Filippo Journal of High Energy Physics, Vol. 2007, Issue 12 https://doi.org/10.1088/1126-6708/2007/12/101	journal	December 2007
Localized modes at a D-brane—O-plane intersection and heterotic Alice strings Harvey, Jeffrey A.; Royston, Andrew B. Journal of High Energy Physics, Vol. 2008, Issue 04 https://doi.org/10.1088/1126-6708/2008/04/018	journal	April 2008
Topological entanglement entropy in Chern-Simons theories and quantum Hall fluids Dong, Shiying; Fradkin, Eduardo; Leigh, Robert G. Journal of High Energy Physics, Vol. 2008, Issue 05 https://doi.org/10.1088/1126-6708/2008/05/016	journal	May 2008
Quark mass deformation of holographic massless QCD Hashimoto, Koji; Hirayama, Takayuki; Lin, Feng-Li Journal of High Energy Physics, Vol. 2008, Issue 07 https://doi.org/10.1088/1126-6708/2008/07/089	journal	July 2008
Gauge/gravity duality with a chiral 𝒩 = (0, 8) string defect Harvey, Jeffrey A.; Royston, Andrew B. Journal of High Energy Physics, Vol. 2008, Issue 08 https://doi.org/10.1088/1126-6708/2008/08/006	journal	August 2008
Seiberg duality in Chern-Simons theories with fundamental and adjoint matter Niarchos, Vasilis Journal of High Energy Physics, Vol. 2008, Issue 11 https://doi.org/10.1088/1126-6708/2008/11/001	journal	November 2008
Fractional M2-branes Aharony, Ofer; Bergman, Oren; Jafferis, Daniel Louis Journal of High Energy Physics, Vol. 2008, Issue 11 https://doi.org/10.1088/1126-6708/2008/11/043	journal	November 2008
On quark masses in holographic QCD McNees, Robert; Myers, Robert C.; Sinha, Aninda Journal of High Energy Physics, Vol. 2008, Issue 11 https://doi.org/10.1088/1126-6708/2008/11/056	journal	November 2008
Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy Fujita, Mitsutoshi; Li, Wei; Ryu, Shinsei Journal of High Energy Physics, Vol. 2009, Issue 06 https://doi.org/10.1088/1126-6708/2009/06/066	journal	June 2009
Edge transport properties of the fractional quantum Hall states and weak-impurity scattering of a one-dimensional charge-density wave Wen, Xiao-Gang Physical Review B, Vol. 44, Issue 11 https://doi.org/10.1103/PhysRevB.44.5708	journal	September 1991
Edge excitations of paired fractional quantum Hall states Milovanović, M.; Read, N. Physical Review B, Vol. 53, Issue 20 https://doi.org/10.1103/PhysRevB.53.13559	journal	May 1996
SU ( N ) gauge theories in 2+1 dimensions Teper, Michael J. Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.014512	journal	December 1998
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models Mermin, N. D.; Wagner, H. Physical Review Letters, Vol. 17, Issue 22 https://doi.org/10.1103/PhysRevLett.17.1133	journal	November 1966
Effective-Field-Theory Model for the Fractional Quantum Hall Effect Zhang, S. C.; Hansson, T. H.; Kivelson, S. Physical Review Letters, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevLett.62.82	journal	January 1989
Collective excitations in the Ginzburg-Landau theory of the fractional quantum Hall effect Lee, Dung-Hai; Zhang, Shou-Cheng Physical Review Letters, Vol. 66, Issue 9 https://doi.org/10.1103/PhysRevLett.66.1220	journal	March 1991
Transport in a one-channel Luttinger liquid Kane, C. L.; Fisher, Matthew P. A. Physical Review Letters, Vol. 68, Issue 8 https://doi.org/10.1103/PhysRevLett.68.1220	journal	February 1992
Topological order and edge structure of ν=1/2 quantum Hall state Wen, Xiao-Gang Physical Review Letters, Vol. 70, Issue 3 https://doi.org/10.1103/PhysRevLett.70.355	journal	January 1993
Wilson Loops in Large N Field Theories Maldacena, Juan Physical Review Letters, Vol. 80, Issue 22 https://doi.org/10.1103/PhysRevLett.80.4859	journal	June 1998
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
Detecting Topological Order in a Ground State Wave Function Levin, Michael; Wen, Xiao-Gang Physical Review Letters, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevLett.96.110405	journal	March 2006
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence Ryu, Shinsei; Takayanagi, Tadashi Physical Review Letters, Vol. 96, Issue 18 https://doi.org/10.1103/PhysRevLett.96.181602	journal	May 2006
Chern–Simons theory with vector fermion matter Giombi, Simone; Minwalla, Shiraz; Prakash, Shiroman The European Physical Journal C, Vol. 72, Issue 8 https://doi.org/10.1140/epjc/s10052-012-2112-0	journal	August 2012
The Chern–Simons–Landau–Ginzburg Theory of the Fractional Quantum hall Effect Zhang, Shou Cheng International Journal of Modern Physics B, Vol. 06, Issue 01 https://doi.org/10.1142/S0217979292000037	journal	January 1992
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
Anti de Sitter space and holography Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a2	journal	January 1998
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

Cited By (3)

Effective hopping in holographic Bose and Fermi-Hubbard models Fujita, Mitsutoshi; Meyer, René; Pujari, Sumiran Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/jhep01(2019)045	journal	January 2019
Embedding three-dimensional bosonization dualities into string theory Jensen, Kristan; Karch, Andreas Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/jhep12(2017)031	journal	December 2017
Embedding three-dimensional bosonization dualities into string theory Jensen, Kristan; Karch, Andreas arXiv https://doi.org/10.48550/arxiv.1709.07872	text	January 2017

Similar Records

D-branes in Massive IIA and Solitons in Chern-Simons Theory

Technical Report · Wed Jul 25 00:00:00 EDT 2001 · OSTI ID:784961

Two-loop analysis of non-Abelian Chern-Simons theory

Journal Article · Mon Dec 14 23:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States) · OSTI ID:7158938

Engineering holographic graphene

Journal Article · Mon Sep 24 00:00:00 EDT 2012 · AIP Conference Proceedings · OSTI ID:22075572

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AdS-CFT Correspondence
Chern-Simons Theories
holography and condensed matter physics (AdS/CMT)

Holographic Chern-Simons defects

Citation Formats

References (71)

Cited By (3)

Similar Records

Related Subjects