Comments on string theory backgrounds with non-relativistic conformal symmetry

By J. Maldacena, D. Martelli, Yuji Tachikawa. 2008

467 citations recorded by the source corpus.

We consider non-relativistic conformal quantum mechanical theories that arise by doing discrete light cone quantization of field theories. If the field theory has a gravity dual, then the conformal quantum mechanical theory can have a gravity dual description in a suitable finite temperature and finite density regime. Using this we compute the thermodynamic properties of the system. We give an explicit example where we display both the conformal quantum mechanical theory as well as the gravity dual. We also discuss the string theory embedding of certain backgrounds with non-relativistic conformal symmetry that were recently discussed. Using this, we construct finite temperature and finite density solutions, with asymptotic non-relativistic conformal symmetry. In addition, we derive consistent Kaluza-Klein truncations of type IIB supergravity to a five dimensional theory with massive vector fields.

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Citations in the corpus

On Representations and Correlation Functions of Galilean Conformal Algebras (2009, background): “Embeddings in string theory were first looked at in [13, 14, 15].”
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): “[3, 6, 7]): note however that these are not Schrodinger spacetimes of the sort discussed in [1–5, 10– 14].”
Spatially modulated instabilities of magnetic black branes (2011, methodology): “Finally we consider the consistent truncation of type IIB supergravity on an arbitrary SE5 space derived in [37].”
Holographic Quantum Matter (2016, background): “It is natural, therefore, to consider states of the theory with a large particle number [8; 376; 477; 534].”
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].”
Gravity and hydrodynamics: lectures on the fluid-gravity correspondence (2009, methodology): “ng into account the reduced symmetries of the problem) or equivalently by exploiting a speciﬁc duality transformation in string theory, the so called Null Melvin Twist [114] or the TsT transformation [113]. To be speciﬁc, [80] constructed ﬂuid dynamical solutions for the ﬁve-dimensional eﬀective act”
Lectures on holographic methods for condensed matter physics (2009, background): “The problem is also ameliorated by considering the theory at a finite number density [39], which is indeed a physically sensible thing to do.”
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].”
Consistent supersymmetric Kaluza-Klein truncations with massive modes (2009, methodology): “We note analogous singular solutions also exist for the theory considered in [13].”
Hot spacetimes for cold atoms (2008, result): “[ 46 , 47] had found results which overlap with ours.”
Holographic stress tensor for non-relativistic theories (2009, methodology): “A black hole solution corresponding to the finite temperature grand canonical ensemble in the field theory was constructed in [23, 24, 25].”
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].”
Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “In particular, the thermodynamics and phase structure of current holographic models are not obviously related to any known systems, if not outright pathological [384, 385, 386].”
Heating up Galilean holography (2008, result): “Note Added: In concurrent work Adams, Balasubramanian, and McGreevy [31] and Maldacena, Martelli and Tachikawa [32] have obtained very similar results to ours.”
Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2013, methodology): “by dualities such as TsT in the case of z = 2 Schrödinger holography [21–28] or by dimensional reduction as in the case of z = 2 Lifshitz holography which will be elaborated on further below).”