Heating up Galilean holography

By Christopher P. Herzog, M. Rangamani, S. Ross. 2008

389 citations recorded by the source corpus.

We embed a holographic description of a quantum field theory with Galilean conformal invariance in string theory. The key observation is that such field theories may be realized as conventional superconformal field theories with a known string theory embedding, twisted by the R-symmetry in a light-like direction. Using the Null Melvin Twist, we construct the appropriate dual geometry and its non-extremal generalization. From the nonzero temperature solution we determine the equation of state. We also discuss the hydrodynamic regime of these non-relativistic plasmas and show that the shear viscosity to entropy density ratio takes the universal value η/s = 1/4π typical of strongly interacting field theories with gravity duals.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/61caa5f72b22b0df5beb230df4d2dde20c5bb60c

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Citations in the corpus

Holographic stress tensor for non-relativistic theories (2009, methodology): “in agreement with previous results obtained by different methods [25, 26].”
Comments on string theory backgrounds with non-relativistic conformal symmetry (2008, background): “Ross [14] which have some overlap with our present paper.”
Consistent supersymmetric Kaluza-Klein truncations with massive modes (2009, background): “The solutions with z = 2 were independently found in [27][28].”
Gravity and hydrodynamics: lectures on the fluid-gravity correspondence (2009, methodology): “ the AdS/CFT correspondence, such as the holographic duals for ﬁeld theories with non-relativistic Schr¨odinger symmetry as originally discussed in [111, 112] and later embedded into string theory in [109, 110, 113]. In these examples one has spacetimes with non-trivial asymptotic structure and the ”
Lifshitz solutions of D=10 and D=11 supergravity (2010, methodology): “In the Schrödinger case top down solutions were subsequently constructed using duality transformations and/or consistent KaluzaKlein reductions [5][6][7].”
Lectures on holographic methods for condensed matter physics (2009, methodology): “The Schrödinger metric for z = 2 was first embedded into string theory in [37, 38, 39].”
Supercurrent: Vector hair for an AdS black hole (2008, background): “In recent times, there have been various works which aim at constructing string theory (gravitational) duals to condensed matter systems [6, 7, 8, 9, 10, 11, 12, 13, 14].”
Non-relativistic holography (2008, background): “Much interest has been focused on holographic duals of theories which admit the full Schrödinger symmetry group [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26].”
AdS and Lifshitz black holes in conformal and Einstein-Weyl gravities (2012, background): “These geometries have been embedded in string theory [56, 57].”
Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “However, considerable progress has been made in the context of both Lifschitz and Schrödinger systems, including the construction of charged black holes corresponding to NRCFTs at finite temperature and chemical potential [384–387] and the construction of some toy non-relativistic superfluids (see, ”
Holographic Quantum Matter (2016, background): “It is natural, therefore, to consider states of the theory with a large particle number [8; 376; 477; 534].”
On Representations and Correlation Functions of Galilean Conformal Algebras (2009, background): “Embeddings in string theory were first looked at in [13, 14, 15].”
On string theory duals of Lifshitz-like fixed points (2009, background): “5 Gravity duals of another types of fixed points with non-relativistic scaling symmetry [15] have also been studied especially for systems with non-relativistic conformal invariance [16, 17, 18, 19, 20, 21].”
Non-Abelian T-duality and the AdS/CFT correspondence: New N=1 backgrounds (2013, background): “[1, 2]; the T-s-T transformations that are the string analogue of β-deformations in gauge theory [3] and which can also be used to construct gravity duals for some non-relativistic field theories [4, 5, 6]; the use of G structure rotations to obtain solutions with/without back-reacted source branes ”
Lifshitz spacetimes from AdS null and cosmological solutions (2010, methodology): “ance in Schro¨dinger invariant theories. We recall that holographic descriptions of Galilean invariant CFTs (with Schro¨dinger symmetry) were proposed in [1, 2]: they can be embedded in string theory [3, 4, 5, 10, 11, 12]. In this description, the particle number symmetry is geometrically realized a”
An analytic Lifshitz black hole (2009, background): “ous squashed and smushed and wipfed solutions [15]. Given this fact, one might expect that the Lifshitz spacetime can be embedded into the same type IIB truncations as the Schr¨odinger spacetime (see [18, 19] and especially [20]). However, the scalar equation of motion is not satisﬁed by the Lifshit”