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One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence

Authors
Jie Ren,Ivan M. Havel
Roshan Dsouza,Kelly Rusch,Ferdinando Gliozzi,Stuart Young,Petr Levchenko,Maria Herrero,Giulio Dellacasa,Вячеслав Терентьев,Andi Hektor,Leonardo Castellani,Angela Karp,Stephen Naculich,Denis Comelli,Dmitry Karateev,Volker Adler,Weixing Shu,Петр Мангилев,Galina Denisova,Colin Bernet,Galina Gridneva,John Lord,Antoine Bourget,Joachim Dengler,David Meeker,Martin Goodchild,TIMOTHY O'LEARY,Srinivasan Jagannathan,Kunal Vyas,Nenad Đurđević,Zoran Vuković,Miodrag Mićović,Verica Babić,Kristian Jensen,Vladimir Ranković,Michele Portolan,Torben Gaedt,Garrett Poe,David Shih,Viviane Hass,Alain Jaccard,Danilo Silva,Liam McAllister,Marc Torrens,Boban Dašić,Slađana Savović,David Van Wie,Seok Ki Choi,Eleni Vryonidou,Robert Stala,Vishnu Ram OV,N/A ,Jose Endrino,Marie Connett,Cemile Bardak,Anar İbrahimov,Bulent Basol,Thorsten Alexander Kern,Ryutarou Ohbuchi,Dilber Uzun Ozsahin,Martin Köhne,Sandra S. Padula,ALEJANDRO GARCIA ALONSO MONTOYA,David Clarke,Estefanía Micó,David Kotecki,Mukund Rangamani,Sercan Sen,Nasuf SONMEZ,Muhammed Deniz,Letizia Lusito,Jukka Suhonen,Valentin V Khoze,davide melini,Song Yao,Paul Bowen,Ekkehard Peik,Paula Mabee,Rachel Bartek,Yasunori Nomura,Nelson Braga,Bernard Housen,Arash Heydari,Shiraz Minwalla,JAIME ROSSELL GRANADOS,Bruno Dufour,Martin Sprenger,Stefan Fredenhagen,Matthias Kaminski,Matthew Coates,Nathaniel Butlin,Noppadol Mekareeya,David Straub,Rafael Maestre,Aninda Sinha,Orquídea Moreira Ribeiro,Mathew Bullimore,Inna Yeremenko,Christoph Heller,Athanasios Chatzistavrakidis,Gustavo Niz,Antonio Padilla,Ehsan Hatefi,Aleksi Vuorinen,edouard alphandéry,Lauri Valsta,Marcel Kuruc,Paul Saffin,Kyohei Mukaida,Adilson Ramos,Arthur Sweetman,Nathan Seiberg,Luis Caballero,Robert LoGalbo,Marinei Lopes Pedralli,Stephane Coulombe,Kapil Dandekar,Per Gustavsson,Christos Hatzis,Vadim Kostyukhin,Harvey Reall,Ali OKATAN,Rudolf Oldeman,Kaveh Ostad-Ali-Askari,Gautam ,Zuowei Liu,christophe grojean,Marco Cavaglia,Daisuke Yamauchi,Cheng-Wei Chiang,Anibal Medina,Anders Eller Thomsen,Richard Hill,Donghui Jeong,David Marsh,Riccardo Catena,Ely Kovetz,Jose L. 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arXiv:1008.3904v3 [hep-th] 16 Nov 2010
Preprint typeset in JHEP style - HYPER VERSION PUPT-2347
One-dimensional holographic superconductor from
AdS3/CFT2 correspondence
Jie Ren
Department of Physics, Princeton University
Princeton, NJ 08544, U.S.A.
E-mail: jieren@princeton.edu
Abstract: We obtain a holographical description of a superconductor by using the d = 2
case of the AdSd+1/CFTd correspondence. The gravity system is a (2+1)-dimensional AdS
black hole coupled to a Maxwell field and charged scalar. The dual (1+1)-dimensional
superconductor will be strongly correlated. The characteristic exponents for vector per-
turbations at the boundary degenerate, which implies that d = 2 is a critical dimension
and the Green’s function needs to be regularized. In the normal phase, the current-current
correlation function and the conductivity can be analytically solved at zero chemical po-
tential. The dc conductivity can be analytically solved at finite chemical potential. When
we add a scalar hair to the black hole, a charged condensate happens at low temperatures.
We compare our results with higher-dimensional cases.
Keywords: AdS-CFT Correspondence, Black Holes, Field Theories in Lower
Dimensions.
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