Membranes at Quantum Criticality
@article{Hoava2008MembranesAQ, title={Membranes at Quantum Criticality}, author={Petr Hořava}, journal={Journal of High Energy Physics}, year={2008}, volume={2009}, pages={020-020} }
We propose a quantum theory of membranes designed such that the ground-state wavefunction of the membrane with compact spatial topology Σh reproduces the partition function of the bosonic string on worldsheet Σh. The construction involves worldvolume matter at quantum criticality, described in the simplest case by Lifshitz scalars with dynamical critical exponent z = 2. This matter system must be coupled to a novel theory of worldvolume gravity, also exhibiting quantum criticality with z = 2…
617 Citations
Quantum Gravity at a Lifshitz Point
- Physics
- 2009
We present a candidate quantum field theory of gravity with dynamical critical exponent equal to $z=3$ in the UV. (As in condensed-matter systems, $z$ measures the degree of anisotropy between space…
A two-dimensional algebraic quantum liquid produced by an atomic simulator of the quantum Lifshitz model
- PhysicsNature Communications
- 2015
It is shown that synthetic gauge fields for ultracold atoms, using either the Raman scheme or shaken lattices, provide physicists a simple and practical scheme to produce a two-dimensional algebraic quantum liquid at the ground state.
Ju l 2 01 2 Topology of quantum vacuum
- Physics
- 2021
Topology in momentum space is the main characteristics of th e ground states of a system at zero temperature, the quantum vacua. Th e gaplessness of fermions in bulk, on the surface or inside the…
Topology of quantum vacuum
- Physics
- 2011
Topology in momentum space is the main characteristics of the ground states of a system at zero temperature, the quantum vacua. The gaplessness of fermions in bulk, on the surface or inside the…
Entanglement and separability in continuum Rokhsar-Kivelson states
- PhysicsPhysical Review Research
- 2022
We study a vast family of continuum Rokhsar-Kivelson (RK) states, which have their groundstate encoded by a local quantum field theory. These describe certain quantum magnets, and are also important…
Toward a Moyal quantization program of the membrane
- Physics
- 2009
A Moyal deformation quantization approach to a spherical membrane (moving in flat target backgrounds) in the light cone gauge is presented. The physical picture behind this construction relies on…
Classical membrane in a time dependent orbifold
- Physics
- 2009
We analyze classical theory of a membrane propagating in a singular background spacetime. The algebra of the first-class constraints of the system defines the membrane dynamics. A membrane winding…
Nonrelativistic Naturalness in Aristotelian Quantum Field Theories
- Physics
- 2017
Author(s): Yan, Ziqi | Advisor(s): Horava, Petr | Abstract: Some of the most fundamental questions in theoretical physics can be formulated as puzzles of naturalness, such as the cosmological…
Renormalization of supersymmetric Lifshitz sigma models
- PhysicsJournal of High Energy Physics
- 2023
We study the renormalization of an N $$ \mathcal{N} $$ = 1 supersymmetric Lifshitz sigma model in three dimensions. The sigma model exhibits worldvolume anisotropy in space and time around the…
Classical and Quantum Chaplygin Gas Horava-Lifshitz Scalar-metric Cosmology
- Physics
- 2017
In this work, we study the Friedmann-Robertson-Walker cosmology in which a Chaplygin gas is coupled to a non-linear scalar field in the framework of the Hořava-Lifshitz theory. In writing the action…
44 References
Quantum Gravity at a Lifshitz Point
- Physics
- 2009
We present a candidate quantum field theory of gravity with dynamical critical exponent equal to $z=3$ in the UV. (As in condensed-matter systems, $z$ measures the degree of anisotropy between space…
Topological wave functions and heat equations
- Mathematics
- 2006
It is generally known that the holomorphic anomaly equations in topological string theory reflect the quantum mechanical nature of the topological string partition function. We present two new…
Noncritical M-theory in 2+1 dimensions as a nonrelativistic Fermi liquid
- Physics
- 2007
We claim that the dynamics of noncritical string theories in two dimensions is related to an underlying noncritical version of M-theory, which we define in terms of a double-scaled nonrelativistic…
Quantum Calabi-Yau and Classical Crystals
- Mathematics
- 2003
We propose a new duality involving topological strings in the limit of the large string coupling constant. The dual is described in terms of a classical statistical mechanical model of crystal…
Topological M-theory as unification of form theories of gravity
- Physics
- 2004
We introduce a notion of topological M-theory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G_2 holonomy metrics on…
Quantization of Gauge Systems
- Physics
- 1992
This is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical…