Develops a Lagrangian path integral formulation for non-projectable Hořava gravity and computes one-loop divergences in (2+1) dimensions, verifying cancellation of linear-in-frequency terms to extract beta functions for Newton constant and λ.
Membranes at Quantum Criticality
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We propose a quantum theory of membranes designed such that the ground-state wavefunction of the membrane with compact spatial topology \Sigma_h reproduces the partition function of the bosonic string on worldsheet \Sigma_h. 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.
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Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.
In the UV regime of Horava-Lifshitz gravity the Wheeler-DeWitt solutions suppress annihilation-to-nothing behavior for all examined spatial sections and cosmological constants.
Applies parameterized dispersion to eccentric BBH burst waveforms, deriving a 2.5PN time-delay correction and Bessel amplitude modulation, then uses Fisher matrix to project LIGO constraints that are stronger than current bounds for Hořava-Lifschitz and extra-dimension models.
Higher-derivative corrections in projectable Hořava gravity do not yield static planar-symmetric solutions that can serve as endpoints for the Minkowski infrared instability.
citing papers explorer
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Quantizing non-projectable Ho\v{r}ava gravity with Lagrangian path integral
Develops a Lagrangian path integral formulation for non-projectable Hořava gravity and computes one-loop divergences in (2+1) dimensions, verifying cancellation of linear-in-frequency terms to extract beta functions for Newton constant and λ.
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Worldsheet Formalism for Decoupling Limits in String Theory
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.
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Ultraviolet Behavior of the Wheeler-DeWitt Equation in Horava-Lifshitz Gravity
In the UV regime of Horava-Lifshitz gravity the Wheeler-DeWitt solutions suppress annihilation-to-nothing behavior for all examined spatial sections and cosmological constants.
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Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries
Applies parameterized dispersion to eccentric BBH burst waveforms, deriving a 2.5PN time-delay correction and Bessel amplitude modulation, then uses Fisher matrix to project LIGO constraints that are stronger than current bounds for Hořava-Lifschitz and extra-dimension models.
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Space- vs Time-dependence in taming the infrared instability of projectable Ho\v{r}ava Gravity
Higher-derivative corrections in projectable Hořava gravity do not yield static planar-symmetric solutions that can serve as endpoints for the Minkowski infrared instability.