Field theory on Newton-Cartan backgrounds and symmetries of the Lifshitz vacuum

被引:65
|
作者
Hartong, Jelle [1 ,2 ]
Kiritsis, Elias [3 ,4 ]
Obers, Niels A. [5 ]
机构
[1] Univ Libre Bruxelles, Phys Theor & Math Inst, B-1050 Brussels, Belgium
[2] Univ Libre Bruxelles, Int Solvay Inst, B-1050 Brussels, Belgium
[3] Univ Crete, Dept Phys, Crete Ctr Theoret Phys, Iraklion 71003, Greece
[4] Univ Paris 07, Sorbonne Paris Cite, CNRS, CEA,IRFU,Obs Paris,APC,IN2P3,UMR 7164, F-75205 Paris 13, France
[5] Univ Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen, Denmark
来源
基金
新加坡国家研究基金会;
关键词
Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT); AdS-CFT Correspondence; SCHRODINGER INVARIANCE;
D O I
10.1007/JHEP08(2015)006
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Holography for Lifshitz space-times corresponds to dual field theories on a fixed torsional Newton-Cartan (TNC) background. We examine the coupling of non-relativistic field theories to TNC backgrounds and uncover a novel mechanism by which a global U(1) can become local. This involves the TNC vector M-mu which sources a particle number current, and which for flat NC space-time satisfies M-mu = partial derivative M-mu with a Schrodinger symmetry realized on M. We discuss various toy model field theories on flat NC space-time for which the new mechanism leads to extra global space-time symmetries beyond the generic Lifshitz symmetry, allowing for an enhancement to Schrodinger symmetry. On the holographic side, the source M also appears in the Lifshitz vacuum with exactly the same properties as for flat NC space-time. In particular, the bulk diffeomorphisms that preserve the boundary conditions realize a Schrodinger algebra on M, allowing for a conserved particle number current. Finally, we present a probe action for a complex scalar field on the Lifshitz vacuum, which exhibits Schrodinger invariance in the same manner as seen in the field theory models.
引用
收藏
页数:66
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