Membranes at Quantum Criticality

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. We first construct such a nonrelativistic ``gravity at a Lifshitz point'' with z = 2 in D+1 spacetime dimensions, and then specialize to the critical case of D = 2 suitable for the membrane worldvolume. We also show that in the second-quantized framework, the string partition function is reproduced if the spacetime ground state takes the form of a Bose-Einstein condensate of membranes in their first-quantized ground states, correlated across all genera.

• Publication year

  2008

• Venue

  Journal of High Energy Physics

• Publication date

  2008-12-23

• Fields of study

  Physics

• Identifiers
  DOI 10.1088/1126-6708/2009/03/020arXiv 0812.4287
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• TIME AND INTERPRETATIONS OF QUANTUM GRAVITY

  2011cited by this paper
• Quantum Gravity at a Lifshitz Point

  2009influential reference
• Quantum Criticality and Yang-Mills Gauge Theory

  2008cited by this paper
• Sigma model renormalization group flow, ``central charge'' action, and Perelman's entropy

  2006cited by this paper
• Equilibrium and Non-Equilibrium Statistical Thermodynamics.

  2006cited by this paper
• Topological wave functions and heat equations

  2006cited by this paper
• Noncritical M-theory in 2+1 dimensions as a nonrelativistic Fermi liquid

  2005cited by this paper
• Thermodynamics of noncritical M-theory and the topological A-model

  2005influential reference
• INTRODUCTION TO FOLIATIONS AND LIE GROUPOIDS (Cambridge Studies in Advanced Mathematics 91)

  2005cited by this paper
• Black hole attractors and the topological string

  2004cited by this paper
• Topological M-theory as unification of form theories of gravity

  2004influential reference
• Γ and B

  2004cited by this paper
• Topological Order and Conformal Quantum Critical Points

  2003cited by this paper
• Quantum Calabi-Yau and Classical Crystals

  2003cited by this paper
• Introduction to Foliations and Lie Groupoids: Prerequisites

  2003cited by this paper
• The entropy formula for the Ricci flow and its geometric applications

  2002cited by this paper
• LECT NOTES PHYS

  2002cited by this paper
• Quantum Phase Transitions: A first course

  1999cited by this paper
• Morse Theory

  1999cited by this paper
• Topological rigid string theory and two-dimensional QCD

  1995cited by this paper
• Principles of condensed matter physics

  1995cited by this paper
• Heterotic and type I string dynamics from eleven-dimensions

  1995cited by this paper
• Quantum Background Independence In String Theory

  1993cited by this paper
• Quantization of Gauge Systems

  1992cited by this paper
• Canonical quantum gravity and the problem of time

  1992cited by this paper
• Properties of the Eleven-Dimensional Supermembrane Theory

  1988cited by this paper
• Ward identities for the stochastic quantization of gauge fields

  1988cited by this paper
• Introduction to Supersymmetry: Supergravities: locally supersymmetric theories

  1986cited by this paper
• Renormalization and Stochastic Quantization

  1986cited by this paper
• Introduction to supersymmetry in condensed matter physics

  1985cited by this paper
• Nonlinear models in 2 + ε dimensions☆

  1985cited by this paper
• On stochastic quantization

  1984cited by this paper
• PERTURBATION-THEORY WITHOUT GAUGE FIXING

  1980cited by this paper
• NONLINEAR MODELS IN 2 +<-DIMENSIONS

  1980cited by this paper
• Random Magnetic Fields, Supersymmetry, and Negative Dimensions

  1979cited by this paper
• Some quantum field theory aspects of the superspace quantization of general relativity

  1976cited by this paper
• Modern Theory of Critical Phenomena

  1976cited by this paper
• Critical Behavior at the Onset of k --> -Space Instability on the lamda Line

  1975cited by this paper
• Accessibility and foliations with singularities

  1974cited by this paper
• The Hamiltonian Structure of Spacetime.

  1973cited by this paper

• The Theoretical Landscape of Mimetic Gravity: A Comprehensive Review

  2026cites this paper
• Ultraviolet Behavior of the Wheeler-DeWitt Equation in Horava-Lifshitz Gravity

  2026influential citation
• Limits on the mass of compact objects in Hořava-Lifshitz gravity

  2026cites this paper
• Batalin–Fradkin–Vilkovisky quantization of Einstein gravity with off-diagonal solutions encoding Hořava type generating functions

  2026cites this paper
• G\"{o}del-symmetric backgrounds and explicit spacetime symmetry breaking

  2026cites this paper
• Anomaly Induced Current in Boundary Lifshitz Field Theory

  2026cites this paper
• Probing gravitational wave speed and dispersion with LISA observations of supermassive black hole binary populations

  2025cites this paper
• New canonical analysis for consistent extension of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si8.svg"><mml:mrow><mml:mi>λ</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:math> gravity

  2025cites this paper
• Spatially covariant gravity with two degrees of freedom in the presence of an auxiliary scalar field: Hamiltonian analysis

  2025cites this paper
• A Tropical Look at Coisotropic Branes and Quantization

  2025cites this paper
• Impact of Entropy-Corrected Hořava-Lifshitz Gravity on Modified Chaplygin Gas: A Cosmological Parameter Estimation

  2025cites this paper
• Exact analytic solutions in 2+1 Hořava gravity with cosmological constant

  2025cites this paper
• Accretion of dark energy onto black hole in Bumblebee field

  2025cites this paper
• Different horizon cut-offs for Tsallis, Rényi and Sharma-Mittal holographic dark energies in Hořava-Lifshitz gravity

  2025cites this paper
• Tests of weak equivalence principle and graviton mass with LIGO-Virgo catalog

  2025cites this paper
• Notes on the Quantization of Tropological Yang Mills Theory

  2025cites this paper
• Hamiltonian analysis for perturbative <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e21" altimg="si8.svg"><mml:mrow><mml:mi>λ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math> gravity

  2024cites this paper
• A note on the Cotton flow and the Ricci flow for three-manifolds, and the Hořava–Lifshitz gravity

  2024influential citation
• Spatial covariant gravity with two degrees of freedom in the presence of an auxiliary scalar field: Perturbation analysis

  2024cites this paper
• Accretion Phenomena of Different Kinds of Chaplygin Gas Models onto Kehagias-Sfetsos Black Hole in Horava-Lifshitz Gravity Scenario

  2024cites this paper
• Constraining the equation of state parametrization in Hořava-Lifshitz gravity

  2024cites this paper
• Parity-violating scalar-tensor theory and the Qi-Xiu

  2024cites this paper
• Incorporating holographic dark energy in the big rip cosmological model with f(R,Σ,T)-Gravity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-6

  2024cites this paper
• Non-local hyperdifferential momentum operators in quantum field theory free from tachyons: the case of neutral mesons

  2024cites this paper
• Dynamical System Approach and Thermodynamical Perspective of Hořava‐Lifshitz Gravity

  2024cites this paper
• Dark Energy

  2024cites this paper
• Study of stable dark energy stars in Hořava–Lifshitz gravity

  2024cites this paper
• Parity-violating scalar-tensor theory

  2024cites this paper
• Constraining the parameters of generalized and viscous modified Chaplygin gas and black hole accretion in Einstein-Aether gravity

  2024cites this paper
• PPN meets EFT of dark energy: post-Newtonian approximation in higher-order scalar-tensor theories

  2024cites this paper
• Mixed gauge-global symmetries, elliptic modes, and black hole thermodynamics in Hořava-Lifshitz gravity

  2024influential citation
• Constraining cosmological parameters with viscous modified chaplygin gas and generalized cosmic chaplygin gas models in Horava–Lifshitz gravity: Utilizing late-time datasets

  2024cites this paper
• The estimation of parameters of generalized cosmic Chaplygin gas and viscous modified Chaplygin gas and Accretions around Black Hole in the background of Einstein-Aether gravity

  2024cites this paper
• Open String Renormalization Group Flow as a Field Theory

  2024cites this paper
• Many-body physics of spontaneously broken higher-rank symmetry: from fractonic superfluids to dipolar Hubbard model

  2023cites this paper
• Orbital Dynamics Of The Charged Particle In The Gravitational Field Of Kehagias -Sfetsos Black Hole In Horova -Lifshitz Gravity In Presence Of External Magnetic Field

  2023cites this paper
• Don’t throw the baby out with the bath water

  2023cites this paper
• ALGEBRAIC COMBINATORICS

  2023cites this paper
• Quantization of the anisotropic conformal Hořava theory

  2023cites this paper
• $$\boldsymbol{f(R,}\boldsymbol{\Sigma,}\boldsymbol{T)}$$ Gravity

  2023cites this paper
• Casimir effect in 2+1 Hořava gravity

  2023cites this paper
• A Comparison of Hořava-Lifshitz Gravity and Einstein Gravity through the Gravitational Deflection of Massive Body around Black Holes

  2023cites this paper
• The boundary of the gravitational standard-model extension

  2023cites this paper
• Cosmological test of dark energy parameterizations in Hořava–Lifshitz gravity

  2023cites this paper
• Constraints on the parameters of modified Chaplygin-Jacobi and modified Chaplygin-Abel gases in f(T) gravity

  2023cites this paper
• Casimir effect of a rough membrane in 2 + 1 Hořava–Lifshitz theory

  2023cites this paper
• Topology of Hořava–Lifshitz black holes in different ensembles

  2023cites this paper
• Exploring Late‐Time Cosmic Acceleration with Eos Parameterizations in Horava‐Lifshitz Gravity via Baryon Acoustic Oscillations

  2023cites this paper
• Tropological sigma models

  2023cites this paper
• Ho\v{r}ava models as palladium of unitarity and renormalizability in quantum gravity

  2023influential citation
• Worldsheet formalism for decoupling limits in string theory

  2023cites this paper
• Reconstructing extended f(P) cubic gravity from entropy-corrected holographic and new agegraphic dark energy models

  2022cites this paper
• Unified formalism for the law of emergence from the first law of thermodynamics

  2022cites this paper
• Revisiting tests of Lorentz invariance with gamma-ray bursts: Effects of intrinsic lags

  2022cites this paper
• Renormalization of supersymmetric Lifshitz sigma models

  2022influential citation
• Non-perturbative correction to the Hořava-Lifshitz black hole thermodynamics

  2022cites this paper
• The Horava–Lifshitz modifications of the Casimir effect at finite temperature revisited

  2022cites this paper
• Universal horizons and black hole spectroscopy in gravitational theories with broken Lorentz symmetry

  2022cites this paper
• Aspects of Nonrelativistic Strings

  2022cites this paper
• Periodic orbits in Hořava–Lifshitz cosmologies

  2022cites this paper
• Modified-gravity theories with nondynamical background fields

  2022cites this paper
• New horizons for fundamental physics with LISA

  2022cites this paper
• Landau Theory of Causal Dynamical Triangulations

  2022influential citation
• Generally Covariant Theory of Multipole Moment Conserving Quasiparticles

  2022cites this paper
• Covariant 3+1 correspondence of the spatially covariant gravity and the degeneracy conditions

  2021cites this paper
• Stochastic Quantization of General Relativity à la Ricci‐Flow

  2021cites this paper
• Holographic application in cosmology: Thermodynamics of the Van der Waals cosmic fluid

  2021cites this paper
• Gravity’s Rainbow

  2021cites this paper
• Post-Newtonian parameters of ghost-free parity-violating gravities

  2021cites this paper
• Charged Particle Motions near Non-Schwarzschild Black Holes with External Magnetic Fields in Modified Theories of Gravity

  2021cites this paper
• Ju l 2 01 2 Topology of quantum vacuum

  2021cites this paper
• Spatially homogeneous black hole solutions in $$z=4$$ Hořava–Lifshitz gravity in $$(4+1)$$ dimensions with Nil geometry and $$H^2\times R$$ horizons

  2021cites this paper
• Entanglement and separability in continuum Rokhsar-Kivelson states

  2021cites this paper
• Statefinder and Om diagnostics in emergent universe model

  2021cites this paper
• Spatially covariant gravity with 2 degrees of freedom: Perturbative analysis

  2021cites this paper
• Renormalizability of Alternative Theories of Gravity: Differences between Power Counting and Entropy Argument

  2021cites this paper
• Thermodynamics in the emergent Universe model

  2021cites this paper
• Thermodynamics of z=4 Hořava-Lifshitz black holes

  2021cites this paper
• Classification of Emergent Weyl Spinors in Multi-Fermion Systems

  2021cites this paper
• New heat kernel method in Lifshitz theories

  2021cites this paper
• Energy-entropy relation for asymptotically Lifshitz spacetimes with universal horizons

  2021cites this paper
• Strings in bimetric spacetimes

  2021influential citation
• Geodesic Incompleteness and Partially Covariant Gravity

  2021cites this paper
• Chaos in spatially homogeneous Hořava–Lifshitz subcritical cosmologies

  2021cites this paper
• The Hamilton–Jacobi analysis for higher-order Chern–Simons gravity

  2021cites this paper
• Topological quantum gravity of the Ricci flow

  2020influential citation
• Analysis of entropy corrected holographic and new agegraphic dark energy models in generalized Rastall gravity

  2020cites this paper
• Probing Fundamental Physics with Gravitational Waves

  2020cites this paper
• Study of Tsallis, Rényi and Sharma–Mittal holographic dark energies for entropy corrected modified field equations in Hořava–Lifshitz gravity

  2020cites this paper
• Asymptotic flatness and Hawking quasilocal mass

  2020cites this paper
• Charged and magnetized particles motion in the field of generic singular black holes governed by general relativity coupled to nonlinear electrodynamics

  2020cites this paper
• Isothermal spheres in general relativity and Hořava-type gravity

  2020cites this paper
• Singularities of plane gravitational waves in Einstein’s general relativity

  2020cites this paper
• The Galactic Center Black Hole, Sgr A*, as a Probe of New Gravitational Physics with the Scalaron Fifth Force

  2020cites this paper
• Towards a Unitary, Renormalizable, and Ultraviolet-Complete Quantum Theory of Gravity

  2020influential citation
• Anisotropic instability in a higher order gravity theory

  2020cites this paper
• Spherically symmetric static black holes in Einstein-aether theory

  2020influential citation
• Emergent Planck mass and dark energy from affine gravity

  2020cites this paper
• Singularities of plane gravitational waves in Einstein’s general relativity

  2020cites this paper
• Perturbative instabilities in Hoava gravity

  2020cites this paper