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Hartong, J1; Lei, Y2; Obers, N3; Oling, G1
Zooming in on AdS(3)/CFT2 near a BPS bound
AbstractAny (d + 1)-dimensional CFT with a U(1) flavor symmetry, a BPS bound and an exactly marginal coupling admits a decoupling limit in which one zooms in on the spectrum close to the bound. This limit is an Inonu-Wigner contraction of so(2, d+1) circle plus u(1) that leads to a relativistic algebra with a scaling generator but no conformal generators. In 2D CFTs, Lorentz boosts are abelian and by adding a second u(1) we find a contraction of two copies of sl(2, R) circle plus u(1) to two copies of P-2(c), the 2-dimensional centrally extended Poincare algebra. We show that the bulk is described by a novel non-Lorentzian geometry that we refer to as pseudo-Newton-Cartan geometry. Both the Chern-Simons action on sl(2, R) circle plus u(1) and the entire phase space of asymptotically AdS(3) spacetimes are well-behaved in the corresponding limit if we fix the radial component for the u(1) connection. With this choice, the resulting Newton-Cartan foliation structure is now associated not with time, but with the emerging holographic direction. Since the leaves of this foliation do not mix, the emergence of the holographic direction is much simpler than in AdS(3) holography. Furthermore, we show that the asymptotic symmetry algebra of the limit theory consists of a left- and a right-moving warped Virasoro algebra.
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
Indexed BySCIE
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Cited Times:14[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Univ Amsterdam, Inst Theoret Phys, Sci Pk 904, NL-1098 XH Amsterdam, Netherlands
2.Univ Amsterdam, Delta Inst Theoret Phys, Sci Pk 904, NL-1098 XH Amsterdam, Netherlands
3.Chinese Acad Sci, Inst Theoret Phys, CAS Keg Lab Theoret Phys, Zhong Guan Cun East St 55, Beijing 100190, Peoples R China
4.Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark
Recommended Citation
GB/T 7714
Hartong, J,Lei, Y,Obers, N,et al. Zooming in on AdS(3)/CFT2 near a BPS bound[J]. JOURNAL OF HIGH ENERGY PHYSICS,2018(5):16.
APA Hartong, J,Lei, Y,Obers, N,&Oling, G.(2018).Zooming in on AdS(3)/CFT2 near a BPS bound.JOURNAL OF HIGH ENERGY PHYSICS(5),16.
MLA Hartong, J,et al."Zooming in on AdS(3)/CFT2 near a BPS bound".JOURNAL OF HIGH ENERGY PHYSICS .5(2018):16.
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