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Cremonini, Sera; Li, Li1,2,3; Ritchie, Kyle4; Tang, Yuezhang
Constraining nonrelativistic RG flows with holography
Source PublicationPHYSICAL REVIEW D
AbstractWe examine nonrelativistic holographic renormalization group (RG) flows by working with Einstein-Maxwell-scalar theories which support geometries that break Lorentz invariance at some energy scale. We adopt the superpotential formalism, which helps us characterize the radial flow in this setup and bring to light a number of generic features. In particular, we identify several quantities that behave monotonically under RG flow. As an example, we show that the index of refraction is generically monotonic. We also construct a combination of the superpotentials that flows monotonically in Einstein-scalar theories supporting nonrelativistic solutions and which reduces to the known c-function in the relativistic limit. Interestingly, such quantity also exhibits monotonicity in a variety of black hole solutions to the full Einstein-Maxwell-scalar theory, hinting at a deeper structure. Finally, we comment on the breakdown of such monotonicity conditions and on the relation to a candidate c-function obtained previously from entanglement entropy.
Cooperation Status国际
Subject AreaAstronomy & Astrophysics ; Physics
MOST Discipline CatalogueAstronomy & Astrophysics ; Physics, Particles & Fields
Indexed BySCIE
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Document Type期刊论文
Affiliation1.Lehigh Univ, Dept Phys, Bethlehem, PA 18018 USA
2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
4.UCAS, Sch Fundamental Phys & Math Sci, Hangzhou Inst Adv Study, Hangzhou 310024, Peoples R China
5.Univ New Mexico, Dept Phys & Astron, Albuquerque, NM 87131 USA
Recommended Citation
GB/T 7714
Cremonini, Sera,Li, Li,Ritchie, Kyle,et al. Constraining nonrelativistic RG flows with holography[J]. PHYSICAL REVIEW D,2021,103(4):46006.
APA Cremonini, Sera,Li, Li,Ritchie, Kyle,&Tang, Yuezhang.(2021).Constraining nonrelativistic RG flows with holography.PHYSICAL REVIEW D,103(4),46006.
MLA Cremonini, Sera,et al."Constraining nonrelativistic RG flows with holography".PHYSICAL REVIEW D 103.4(2021):46006.
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