Article
Physics, Particles & Fields
Alberto Escalante, Jorge Hernandez Aguilar
Summary: A detailed analysis of higher-order topologically massive gravity was conducted, reporting the full structure of constraints, counting of physical degrees of freedom, and the Dirac algebra among the constraints. The analysis presented a new structure within the constraints and compared the results with those in the literature developed under a standard Ostrogradski framework.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Physics, Particles & Fields
H. Adami, M. M. Sheikh-Jabbari, V. Taghiloo, H. Yavartanoo, C. Zwikel
Summary: The study focuses on surface charges on a generic null boundary in three dimensional topological massive gravity, constructing the solution phase space with four independent functions. One function corresponds to the chiral propagating graviton mode, while the other three correspond to distinct surface charges of the theory. The null boundary symmetry algebra is identified as Heisenberg circle plus Virasoro algebra, with a central charge related to the gravitational Chern-Simons term of TMG.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Ki-Seok Kim, Shinsei Ryu, Kanghoon Lee
Summary: In holographic duality, a theory framework that describes the renormalization group flow of a quantum field theory by introducing additional dimensions, we develop a new holographic description that encodes the information of the renormalization group flow and the quantum field theory into an effective field theory. We demonstrate the self-consistency of this dual construction under the assumption of bulk locality.
Article
Physics, Multidisciplinary
M. J. Luo
Summary: This article proposes and reviews a framework of quantum spacetime reference frame, in which the quantum spacetime is deformed by the Ricci flow at the Gaussian approximation. It is found that the Ricci flow can be applied to the high curvature region near the local singularity of the early universe, and can naturally reproduce an inflationary deSitter universe without introducing any inflaton field. The deviation from exact deSitter can be calculated by a small deviation from the singular flow-time via the Ricci flow, and the power spectrum of the scalar perturbation agrees with current observations.
Article
Physics, Particles & Fields
Sergei M. Kuzenko, Michael Ponds
Summary: In a conformally flat three-dimensional spacetime, the study investigates the higher-spin Cotton tensor and extends the results from Minkowski space to anti-de Sitter space. The research shows that conformal higher-spin actions can be factorized into first-order operators associated with partially massless AdS values, facilitating the on-shell analysis of massive higher-spin gauge-invariant actions in AdS(3). The main findings are also extended to the case of N = 1 AdS supersymmetry, with simple expressions derived for the higher-spin super-Cotton tensors in AdS(3).
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Nihat Sadik Deger, Marc Geiller, Jan Rosseel, Henning Samtleben
Summary: The minimal massive gravity model in three dimensions propagates a single massive spin-2 mode around an anti-de Sitter vacuum, allowing for vacua with positive central charges and a bulk graviton of positive energy. Surprisingly, all vacua complying with bulk and boundary unitarity appear to break supersymmetry spontaneously in the supersymmetric extension of the model.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Vahid Taghiloo
Summary: We study the three dimensional topologically massive gravity (TMG) with a generic codimension one null boundary. The existence of the boundary is accounted for by introducing degrees of freedom that reside only at the boundary, known as boundary degrees of freedom, in the Hilbert space of the theory. The solution phase space of this theory involves both bulk massive chiral gravitons of TMG and boundary modes labeled by surface charges associated with large diffeomorphisms. We demonstrate that the boundary degrees of freedom obey a local thermodynamic description, known as null surface thermodynamics, which is described by a local version of the first law, a local Gibbs-Duhem equation, and local zeroth law. This null surface thermodynamics describes an open boundary system that is generically out of thermal equilibrium due to the expansion of the boundary and the passage of the bulk mode through the boundary.
EUROPEAN PHYSICAL JOURNAL C
(2023)
Article
Astronomy & Astrophysics
D. Dalmazi, A. L. R. dos Santos
Summary: This paper introduces new spin-4 self-dual and parity doublet models in D = 2 + 1. Despite involving higher order derivatives, they are ghost free. By finding gauge invariant field combinations, the canonical structure of spin-4 models is shown to follow a similar pattern as spin-2 models after field redefinitions.
Article
Physics, Particles & Fields
Vladimir Dzhunushaliev, Vladimir Folomeev
Summary: Within vacuum Weyl gravity, different choices of the conformal factor lead to metrics describing a universe bounce, wormholes, and metric signature change. It is found that singularities in these systems are hidden, with a simple explanation provided for this possibility. Additionally, the potential application of conformal Weyl gravity as a phenomenological theory for an approximate description of quantum gravity is discussed.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Mathematics
Chuanhuan Li, Yi Li, Kairui Xu
Summary: In this paper, we study the monotonicity of parabolic frequency under the Ricci flow and the Ricci-harmonic flow on manifolds. We consider two cases: the monotonicity of parabolic frequency for the solution of linear heat equation with bounded Bakry-emery Ricci curvature, and the monotonicity of parabolic frequency for the solution of heat equation with bounded Ricci curvature.
JOURNAL OF GEOMETRIC ANALYSIS
(2023)
Article
Mathematics
Richard H. Bamler, Bennett Chow, Yuxing Deng, Zilu Ma, Yongjia Zhang
Summary: In this paper, we investigate 4-dimensional steady soliton singularity models, which are complete steady gradient Ricci solitons that arise as the rescaled limit of a finite time singular solution of the Ricci flow on a closed 4-manifold. Specifically, we study the geometry at infinity of these Ricci solitons, assuming that their tangent flow at infinity is the product of R with a 3-dimensional spherical space form. We also classify the tangent flows at infinity of 4-dimensional steady soliton singularity models in general.
ADVANCES IN MATHEMATICS
(2022)
Article
Mathematics
Bennett Chow, Yuxing Deng, Zilu Ma
Summary: In this paper, the asymptotic geometry of 4-dimensional steady gradient Ricci solitons is studied under the condition that they dimension reduce to 3-manifolds. It is shown that such solitons either strongly dimension reduce to a spherical space form S3/Gamma or weakly dimension reduce to the 3-dimensional Bryant soliton. It is also demonstrated that 4-dimensional steady gradient Ricci soliton singularity models with nonnegative Ricci curvature outside a compact set either are Ricci-flat ALE 4-manifolds or dimension reduce to 3-dimensional manifolds. As a further application, it is proven that any steady gradient Kahler-Ricci soliton singularity models on complex surfaces with nonnegative Ricci curvature outside a compact set must be hyperkahler ALE 4-manifolds.
ADVANCES IN MATHEMATICS
(2022)
Article
Mathematics
Timothy Carson, James Isenberg, Dan Knopf, Natasa Sesum
Summary: We study the singularity formation of complete Ricci flow solutions with two motivations: (A) to improve the understanding of the behavior of essential blowup sequences on noncompact manifolds, and (B) to provide further evidence for the conjectured stability of generalized cylinders as Ricci flow singularity models.
ADVANCES IN MATHEMATICS
(2022)
Article
Multidisciplinary Sciences
Ligia Munteanu, Dan Dumitriu, Comel Brisan, Mircea Bara, Veturia Chiroiu, Nicoleta Nedelcu, Cristian Rugina
Summary: This paper explores the application of sliding mode control as a Ricci flow process in a three-story building structure subjected to seismic waves. The stability conditions are determined by two Lyapunov functions, with simulation results indicating that Ricci flow control minimizes displacements of the floors.
Article
Mathematics
Max Hallgren
Summary: In this paper, the author extends the theory of Ricci flows satisfying a Type-I scalar curvature bound at a finite-time singularity. They prove the convergence of the entropy of a conjugate heat kernel to the soliton entropy of the singular soliton, and characterize the singular set of the Ricci flow solution using a heat kernel density function. They also show that the singular Ricci soliton is smooth away from finitely many conical smooth orbifold singularities.
ADVANCES IN MATHEMATICS
(2023)
Article
Physics, Multidisciplinary
Nima Lashkari, Jennifer Lin, Hirosi Ooguri, Bogdan Stoica, Mark Van Raamsdonk
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
(2016)
Article
Mechanics
Nima Lashkari, Anatoly Dymarsky, Hong Liu
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2018)
Article
Physics, Particles & Fields
Nima Lashkari, Anatoly Dymarsky, Hong Liu
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Multidisciplinary
Nima Lashkari
PHYSICAL REVIEW LETTERS
(2014)
Article
Physics, Particles & Fields
Nima Lashkari, Joan Simon
JOURNAL OF HIGH ENERGY PHYSICS
(2014)
Article
Physics, Particles & Fields
Nima Lashkari, Michael B. McDermott, Mark Van Raamsdonk
JOURNAL OF HIGH ENERGY PHYSICS
(2014)
Article
Physics, Particles & Fields
Nima Lashkari
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Nima Lashkari
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Keiichiro Furuya, Nima Lashkari, Shoy Ouseph
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Keiichiro Furuya, Nima Lashkari, Shoy Ouseph
Summary: This work consists of two parts. Firstly, the error correction properties of the real-space renormalization group (RG) are studied, with the role of large N and a large gap in the spectrum of operators in the emergence of complementary recovery discussed. Secondly, the exact quantum error correction for any von Neumann algebra is studied, showing that the Petz dual of the error map is a recovery map if the inclusion of the correctable subalgebra of operators has finite index.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Astronomy & Astrophysics
Samuel Goldman, Nima Lashkari, Robert G. Leigh, Mudassir Moosa
Summary: The exact renormalization group is a powerful tool for studying field theories, and by applying it to the flow of wave functionals, a large class of continuous unitary networks can be obtained, including a class of Gaussian continuous multiscale renormalization Ansatze. These generalized wave functional ERG schemes allow for modifications of the dispersion relation, significantly altering the entanglement structure of the ultraviolet states. This construction demonstrates that cMERA can be derived from a more fundamental microscopic principle, opening up avenues for exploring cMERA beyond the free field regime.
Article
Astronomy & Astrophysics
Keiichiro Furuya, Nima Lashkari, Mudassir Moosa
Summary: This paper demonstrates the approximately protected code subspace of low-energy states in renormalization group (RG) flow, using examples such as the Ising model, free relativistic scalar quantum field theory (QFT), and holographic field theories. It shows that the low-energy coherent states are protected against quantum errors, both in real-space RG in QFT and in holographic RG flows.
Article
Physics, Particles & Fields
Nima Lashkari, Hong Liu, Srivatsan Rajagopal
Summary: New techniques have been developed to study the modular and relative modular flows of general excited states. The study shows that states obtained by acting on the vacuum with invertible operators from a region's algebra are dense in the Hilbert space. This enables the expression of modular and relative modular operators, as well as relative entropies of excited states, in terms of the vacuum modular operator and the operator creating the state.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Fluids & Plasmas
Anatoly Dymarsky, Nima Lashkari, Hong Liu
Article
Physics, Particles & Fields
Connor Behan, Klaus Larjo, Nima Lashkari, Brian Swingle, Mark Van Raamsdonk
JOURNAL OF HIGH ENERGY PHYSICS
(2013)
