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Let V be a simple vertex operator algebra and G a finite automorphism group. Then there is a natural right G-action on the set of all inequivalent irreducible V-modules. Let S be a finite set of inequivalent irreducible V-modules which is…

Quantum Algebra · Mathematics 2007-05-23 C. Dong , G. Yamskulna

Space-time wormholes were introduced in Wheeler's idea of space-time foam. Traversible wormholes as defined by Morris & Thorne became popular as potential short cuts across the universe and even time machines. More recently, the author…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

We introduce and study twist vertex operators for a (lower-bounded generalized) twisted modules for a grading-restricted vertex (super)algebra. We prove duality, weak associativity, a Jacobi identity, a generalized commutator formula,…

Quantum Algebra · Mathematics 2019-08-28 Yi-Zhi Huang

We study twist operators in higher dimensional CFT's. In particular, we express their conformal dimension in terms of the energy density for the CFT in a particular thermal ensemble. We construct an expansion of the conformal dimension in…

High Energy Physics - Theory · Physics 2015-06-22 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

In general relativity, there is a class of solutions that currently do not have observed analogues, but on which the theory is shaped, giving an understanding what is fundamentally possible within its framework. Such solutions include…

General Physics · Physics 2021-04-27 Igor Nikitin

Instanton and wormhole solutions are constructed in a d-dimensional gravity theory with an axion-dilaton pair of scalar fields. We discuss the cases of vanishing, positive and negative cosmological constant.

High Energy Physics - Theory · Physics 2010-04-05 Michael Gutperle , Wafic Sabra

For arbitrary second-order differential operators, the existence conditions and the construction of intertwining transmutation operators are shown. In an explicit form found hyperbolic equations with two independent variables and their…

Classical Analysis and ODEs · Mathematics 2018-07-25 Makovetsky Viktor Igorevich

We study the supersymmetric Wilson loop as introduced by Caron-Huot, which attaches to lightlike polygons certain edge and vertex operators, whose shape is determined by supersymmetry constraints. We state explicit formulas for the vertex…

High Energy Physics - Theory · Physics 2013-01-24 Josua Groeger

We investigate the possibility of computing energy by means of operators associated to the Wheeler-DeWitt equation. By choosing three dimensional wormholes as a framework, we apply such calculation scheme to the black hole pair creation. We…

High Energy Physics - Theory · Physics 2009-10-30 Remo Garattini

It has been proposed that wormholes can be made to function as time-machines. This opens up the question of whether this can be accomodated within a self-consistent physics or not. In this contribution we present some quantum mechanical…

Quantum Physics · Physics 2007-05-23 Frank Antonsen , Karsten Bormann

We construct regular multi-wormhole solutions to a gravitating $\sigma$ model in three space-time dimensions, and extend these solutions to cylindrical traversable wormholes in four and five dimensions. We then discuss the possibility of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Gérard Clément

We investigate the necessary condition for the existence of classical Euclidean wormholes in a conformally non-invariant gravitational model minimally coupled to an scalar field. It is shown that while the original Ricci tensor with…

General Relativity and Quantum Cosmology · Physics 2015-05-20 F. Darabi

The Branson-Gover operators are conformally invariant differential operators of even degree acting on differential forms. They can be interpolated by a holomorphic family of conformally invariant integral operators called fractional…

Analysis of PDEs · Mathematics 2020-05-14 Jan Frahm , Bent Ørsted , Genkai Zhang

We study complex saddles of the Lorentzian path integral for 4D axion gravity and its dual description in terms of a 3-form flux, which include the Giddings-Strominger Euclidean wormhole. Transition amplitudes are computed using the…

High Energy Physics - Theory · Physics 2022-08-24 Gregory J. Loges , Gary Shiu , Nidhi Sudhir

This is the second half of a two-part series studying tensor categories of unitary vertex operator algebras from a unitary point of view.

Quantum Algebra · Mathematics 2019-11-26 Bin Gui

We obtain traversable wormhole and time machine solutions of the field equations of an alternative of gravity with non-minimally curvature-matter coupling. Our solutions exhibit a non-trivial redshift function and allow for matter that…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Orfeu Bertolami , Ricardo Zambujal Ferreira

The present work looks for new wormhole solutions in the non conservative Rastall gravity. Although Rastall gravity is considered to be a higher dimensional gravity, the actual diversion from general relativity essentially happens due to a…

General Relativity and Quantum Cosmology · Physics 2019-03-29 Shibaji Halder , Subhra Bhattacharya , Subenoy Chakraborty

Wormholes are considered both from the Wheeler deWitt equation, as well as from the field equations in the Euclidean background of Roberson Walker mini-superspace in $R^2$ gravity. Quantum wormhole satisfies Hawking Page wormhole boundary…

General Relativity and Quantum Cosmology · Physics 2022-03-11 B Modak , Gargi Biswas

In 1921 Bach and Weyl derived the method of superposition to construct new axially symmetric vacuum solutions of General Relativity. In this paper we extend the Bach-Weyl approach to non-vacuum configurations with massless scalar fields.…

General Relativity and Quantum Cosmology · Physics 2016-08-17 A. I. Egorov , P. E. Kashargin , Sergey V. Sushkov

The multidimensional gravity on the principal bundle with the SU(2) gauge group is considered. The numerical investigation of the spherically symmetric metrics with the center of symmetry is made. The solution of the gravitational equations…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. Dzhunushaliev , H. -J. Schmidt , O. Rurenko