Hot spacetimes for cold atoms

By A. Adams, K. Balasubramanian, John McGreevy. 2008

364 citations recorded by the source corpus.

Building on our earlier work and that of Son, we construct string theory duals of non-relativistic critical phenomena at finite temperature and density. Concretely, we find black hole solutions of type IIB supergravity whose asymptotic geometries realize the Schrodinger group as isometries. We then identify the non-relativistic conformal field theories to which they are dual. We analyze the thermodynamics of these black holes, which turn out to describe the system at finite temperature and finite density. The strong-coupling result for the shear viscosity of the dual non-relativistic field theory saturates the KSS bound.

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

View Paper: https://www.semanticscholar.org/paper/b15672ee15b86ccc9560d77bb5bd5d8d6359c481

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. S. Hartnoll
2. M. Rangamani
3. T. Takayanagi
4. Marika Taylor
5. S. Sachdev
6. K. Narayan
7. S. Ross
8. Andrew Lucas

In Nuclear and High Energy Physics

1. S. Hartnoll
2. T. Takayanagi
3. J. Gauntlett
4. M. Rangamani
5. Marika Taylor
6. V. Hubeny
7. J. Maldacena
8. K. Narayan

Citations in the corpus

• 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, ”
• Consistent supersymmetric Kaluza-Klein truncations with massive modes (2009, background): “The solutions with z = 2 were independently found in [27][28].”
• On Representations and Correlation Functions of Galilean Conformal Algebras (2009, background): “Embeddings in string theory were first looked at in [13, 14, 15].”
• Heating up Galilean holography (2008, neutral): “The Null Melvin Twist leads to the geometry [28] ds2 = r2 ( −2 du dv − r2 du2 + dx2 ) + dr2 r2 + (dψ + A)2 + dΣ24, F(5) = 2 (1 + ⋆) dψ ∧ J ∧ J, B(2) = r 2 du ∧ (dψ + A), (3.4) where the light-cone coordinates are u = β (t+ y) , v = 1 2 β (t− y).”
• 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”
• 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 ”
• 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 ”
• Holography for Schrödinger backgrounds (2010, methodology): “In [5] the relation of Schrödinger to anti-de Sitter via TsT transformations was used to argue that the dual field theory should be a null dipole theory; see also [17, 19] for additional discussion of the TsT transformations required.”
• 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].”
• 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].”
• Warped AdS3 black holes (2008, background): “After this work was completed several works appeared [30, 31] which overlap with section 3 as well as [32, 33, 34] which finds the null black holes of section 6.”
• Holographic Quantum Matter (2016, background): “It is natural, therefore, to consider states of the theory with a large particle number [8; 376; 477; 534].”
• An analytic Lifshitz black hole (2009, background): “eness of energy imposes additional constraints on the counterterms. In the case of Schr¨odinger black hole, it is not possible to get rid of the divergence in the energy without the Neumannizing term [19]. The conformal Ward identity for conservation of the dilatation current requires zE = dP, and i”