Non-relativistic holography and singular black hole

Lin, Feng Li; Wu, Shang Yu

doi:10.1016/j.physletb.2009.07.002

Cited by 26 publications

(20 citation statements)

References 49 publications

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“…The Bargmann framework might also apply to the holographic duality in the sense that the AdS/CFT correspondence might lead to the AdS/unitary fermions correspondence upon null reduction, along the lines of [56][57][58] and as proposed in [24]. In these proposals, the background bulk geometry is an asymptotically AdS space-time (rather than the Schrödinger manifold, as proposed in [13,14]) possessing a nowhere vanishing covariantly constant null vector field.…”

Section: Discussionmentioning

confidence: 99%

Symmetries and currents of the ideal and unitary Fermi gases

Bekaert

Meunier

Moroz

2012

J. High Energ. Phys.

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Abstract:The maximal algebra of symmetries of the free single-particle Schrödinger equation is determined and its relevance for the holographic duality in non-relativistic Fermi systems is investigated. This algebra of symmetries is an infinite dimensional extension of the Schrödinger algebra, it is isomorphic to the Weyl algebra of quantum observables, and it may be interpreted as a non-relativistic higher-spin algebra. The associated infinite collection of Noether currents bilinear in the fermions are derived from their relativistic counterparts via a light-like dimensional reduction. The minimal coupling of these currents to background sources is rewritten in a compact way by making use of Weyl quantisation. Pushing forward the similarities with the holographic correspondence between the minimal higher-spin gravity and the critical O(N ) model, a putative bulk dual of the unitary and the ideal Fermi gases is briefly discussed.

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Section: Discussionmentioning

confidence: 99%

Symmetries and currents of the ideal and unitary Fermi gases

Bekaert

Meunier

Moroz

2012

J. High Energ. Phys.

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“…The (technical) reason for this is that one cannot find a set of (so-called conventional) curvature constraints whose effect is to convert the translation 23 Remember that we no longer distinguish between flat indices a and curved indices α. 24 After the gauge fixing, one has τᾱβ = ∂ᾱx α ∂β x β η αβ .…”

Section: The Particle Casementioning

confidence: 99%

‘Stringy’ Newton–Cartan gravity

Andringa

Bergshoeff

Gomis

et al. 2012

Class. Quantum Grav.

170

362

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We construct a 'stringy' version of Newton-Cartan gravity in which the concept of a Galilean observer plays a central role. We present both the geodesic equations of motion for a fundamental string and the bulk equations of motion in terms of a gravitational potential which is a symmetric tensor with respect to the longitudinal directions of the string. The extension to include a nonzero cosmological constant is given. We stress the symmetries and (partial) gaugings underlying our construction. Our results provide a convenient starting point to investigate applications of the AdS/CFT correspondence based on the nonrelativistic 'stringy' Galilei algebra.

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“…This phenomenon is well known from the study of condensed matter systems at quantum criticality [5]. Similar systems have been intensively studied from the point of view of the nonrelativistic form of the AdS/CFT correspondence [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34] 2 . The construction of such a 2+1 dimensional theory [3] was based on the following question: Is it possible to find a quantum theory of membranes such that its ground state wave functional reproduces the partition function of the bosonic string?…”

Section: Introductionmentioning

confidence: 92%