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Invariant Forms of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Finite-Dimensional Manifolds
AbstractIt is well known [1–3] that a system of differential equations can be exactly integrated if a sufficient number of its tensor invariants (not...
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Material Tensors and Tensor Operators
This chapter focuses on material tensors and tensor operators, both of which are dependent on a multiplet of spatial Cartesian coordinates. Material... -
Superselection-resolved entanglement in lattice gauge theories: a tensor network approach
Lattice gauge theories (LGT) play a central role in modern physics, providing insights into high-energy physics, condensed matter physics, and...
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Holographic codes from hyperinvariant tensor networks
Holographic quantum-error correcting codes are models of bulk/boundary dualities such as the anti-de Sitter/conformal field theory (AdS/CFT)...
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Separable equivalences, finitely generated cohomology and finite tensor categories
We show that finitely generated cohomology is invariant under separable equivalences for all algebras. As a result, we obtain a proof of the finite...
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Data-Driven Reduced Order Models Using Invariant Foliations, Manifolds and Autoencoders
This paper explores how to identify a reduced order model (ROM) from a physical system. A ROM captures an invariant subset of the observed dynamics....
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Gauge-invariant cosmological perturbations in general teleparallel gravity
We study linear cosmological perturbations in the most general teleparallel gravity setting, where gravity is mediated by the torsion and...
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Inflation and primordial gravitational waves in scale-invariant quadratic gravity with Higgs
In scale-invariant models of fundamental physics all mass scales are generated via spontaneous symmetry breaking. In this work, we study inflation in...
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Black hole chemistry, the cosmological constant and the embedding tensor
We study black-hole thermodynamics in theories that contain dimensionful constants such as the cosmological constant or coupling constants in Wald’s...
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Invariant quantities of scalar–tensor theories for stellar structure
We present the relativistic hydrostatic equilibrium equations for a wide class of gravitational theories possessing a scalar–tensor representation....
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The Brownian loop soup stress-energy tensor
The Brownian loop soup (BLS) is a conformally invariant statistical ensemble of random loops in two dimensions characterized by an intensity λ > 0....
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Tensor perturbations from bounce inflation scenario in f(Q) gravity
In this paper, we construct a bounce inflation cosmological scenario in the framework of the modified symmetric teleparallel gravity, namely f ( Q )...
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A Special Type of Anti-invariant Riemannian Submersions
AbstractA special type of anti-invariant Riemannian submersions is investigated. It is shown that the base space of an anti-invariant submersion is...
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Inflation using a triplet of antisymmetric tensor fields
We study an inflation model driven by a triplet of antisymmetric tensor fields, with minimal and nonminimal couplings to gravity. First, we show that...
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Axial anomalies of maximally supersymmetric tensor theories
We revisit anomalies of (4, 0) and (3, 1) maximally supersymmetric tensor theories in d = 6. A (4, 0) on-shell tensor multiplet descends to that of...
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A two-tensor model with order-three
We construct a two-tensor model with order-3 and present its W -representation. Moreover we derive the compact expressions of correlators from the W -re...
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Parabolicity of Invariant Surfaces
We present a clear and practical way to characterize the parabolicity of a complete immersed surface that is invariant with respect to a Killing...
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A harmonic property of right invariant priors
It is shown that, on any Lie group, the density ratio of the right invariant measure to the left invariant measure is harmonic with respect to the...
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Slow Invariant Manifolds for Open Systems
Suppose that the slow invariant manifold is found for a dissipative system. What have we constructed it for? First of all, for solving the Cauchy... -
TDiff in the dark: gravity with a scalar field invariant under transverse diffeomorphisms
We reflect on the possibility of having a matter action that is invariant only under transverse diffeomorphisms. This possibility is particularly...