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A particular type of coupling of the dilaton field to the metric is shown to admit a simple geometric interpretation in terms of a volume element density independent from the metric. For dimension n = 4 two families of either magnetically…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Wolfgang Graf

A comprehensive symmetry resolution of the entanglement entropy (EE) in $(1+1)$-d rational conformal field theories (RCFT) with categorical non-invertible symmetries is presented. This amounts to symmetry resolving the entanglement with…

High Energy Physics - Theory · Physics 2024-12-10 Arpit Das , Javier Molina-Vilaplana , Pablo Saura-Bastida

In this paper, we consider wormhole geometries in the context of teleparallel equivalent of general relativity (TEGR) as well as $f(T)$ gravity. The TEGR is an alternative geometrical formulation of Einstein's general relativity, where…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Ksh. Newton Singh , Ayan Banerjee , Farook Rahaman , M. K. Jasim

The Einstein-Cartan (EC) theory of gravity provides a natural extension of general relativity by incorporating spacetime torsion to account for the intrinsic spin of matter. In this work, we investigate Yukawa-Casimir traversable wormholes…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Nayan Sarkar , Susmita Sarkar , Abdelmalek Bouzenada

Chern-Simons gauge theories in 3 dimensions and the Poisson Sigma Model (PSM) in 2 dimensions are examples of the same theory, if their field equations are interpreted as morphisms of Lie algebroids and their symmetries (on-shell) as…

Differential Geometry · Mathematics 2007-05-23 Martin Bojowald , Alexei Kotov , Thomas Strobl

We define the notion of extrinsic symplectic symmetric spaces and exhibit some of their properties. We construct large families of examples and show how they fit in the perspective of a complete classification of these manifolds. We also…

Symplectic Geometry · Mathematics 2009-11-13 Michel Cahen , Simone Gutt , Nicolas Richard , Lorenz Schwachhoefer

We describe new configurations of electromagnetic (EM) material parameters, the electric permittivity $\epsilon$ and magnetic permeability $\mu$, that allow one to construct from metamaterials objects that function as invisible tunnels.…

Mathematical Physics · Physics 2008-11-26 Allan Greenleaf , Yaroslav Kurylev , Matti Lassas , Gunther Uhlmann

We generalize Atsuyama's result on the geometry of symmetric spaces of type EVI to the case of arbitrary field of characteristic zero. We relate the possible mutual positions of two points with the classification of balanced symplectic…

Group Theory · Mathematics 2022-08-30 Victor A. Petrov , Andrei V. Semenov

Spherically symmetric solutions of generic gravitational models are optimally, and legitimately, obtained by expressing the action in terms of the two surviving metric components. This shortcut is not to be overdone, however: a one-function…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Deser , J. Franklin , B. Tekin

We study a traversable wormhole originated by a transformation over the 4D Dymnikova metric which describes analytic Black-Holes (BH). By using a transformation of coordinates which is adapted from the used in the Einstein-Rosen bridge, we…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Jesús Martín Romero , Mauricio Bellini

We are presenting a quantum traversable wormhole in an exactly soluble two-dimensional model. This is different from previous works since the exotic negative energy that supports the wormhole is generated from the quantization of classical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Won Tae Kim , Edwin J. Son , Myung Seok Yoon

Motivated by observations in physics, mirror symmetry is the concept that certain manifolds come in pairs $X$ and $Y$ such that the complex geometry on $X$ mirrors the symplectic geometry on $Y$. It allows one to deduce symplectic…

Symplectic Geometry · Mathematics 2021-09-24 Catherine Cannizzo

A conservative extension of general relativity by integrable Weyl geometry is formulated, and a new class of cosmological models ({\em Weyl universes}) is introduced and studied. A short discussion of how these new models behave in the…

Astrophysics · Physics 2007-05-23 Erhard Scholz

Asymptotic symmetries of the Einstein-Yang-Mills system with or without cosmological constant are explicitly worked out in a unified manner. In agreement with a recent conjecture, one finds a Virasoro-Kac-Moody type algebra not only in…

High Energy Physics - Theory · Physics 2013-11-20 Glenn Barnich , Pierre-Henry Lambert

The static antiscalar solution of the Einstein-Klein-Gordon equations in the form of the Papapetrou exponential metric had been interpreted as a traversable wormhole with a throat at \textit{r=M}. We aim to search for the effects which…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Eduard Mychelkin , Gulnara Suliyeva , Maxim Makukov

Wormholes and black holes have traditionally been treated a quite separate objects with relatively little overlap. The possibility of a connection arises in that wormholes, if they exist, might have profound influence on black holes, their…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Matt Visser , David Hochberg

Every metric symplectic Lie algebra has the structure of a quadratic extension. We give a standard model and describe the equivalence classes on the level of corresponding quadratic cohomology sets. Finally, we give a scheme to classify the…

Differential Geometry · Mathematics 2016-09-13 Mathias Fischer

We present a canonical quantization of electromagnetic modes in cylindrical waveguides, extending a gauge-based formalism previously developed for Cartesian geometries [1]. By introducing the two field quadratures $X,Y$ of TEM (transverse…

Quantum Physics · Physics 2026-02-05 Alexandre Delattre , Eddy Collin

In this short review we present some recently obtained traversable wormhole models in the framework of general relativity (GR) in four and six dimensions that somehow widen our common ideas on wormhole existence and properties. These are,…

General Relativity and Quantum Cosmology · Physics 2022-03-23 K. A. Bronnikov

The signature is a canonical representation of a multidimensional path over an interval. However, it treats all historical information uniformly, offering no intrinsic mechanism for contextualising the relevance of the past. To address…

Machine Learning · Statistics 2026-03-20 Alexandre Bloch , Samuel N. Cohen , Terry Lyons , Joël Mouterde , Benjamin Walker