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A general non-local point transformation for position-dependent mass Lagrangians and their mapping into a "constant unit-mass" Lagrangians in the generalized coordinates is introduced. The conditions on the invariance of the related…

Mathematical Physics · Physics 2015-05-25 Omar Mustafa

In his PhD thesis, Goosen combined the string-net and the generators-and-relations formalisms for arbitrary once-extended 3-dimensional TQFTs. In this paper we work this out in detail for the simplest non-trivial example, where the…

Quantum Algebra · Mathematics 2020-07-06 Bruce Bartlett , Gerrit Goosen

We consider the most general effective field theory (EFT) Lagrangian with scalar fields and derivatives, and renormalise it to substantially higher loop order than existing results in the literature. EFT Lagrangians have phenomenological…

High Energy Physics - Phenomenology · Physics 2025-11-12 Johan Henriksson , Franz Herzog , Stefanos R. Kousvos , Jasper Roosmale Nepveu

We summarize exact solutions of closed superstrings in a constant magnetic field, from a view point of the regularization criterion. Some models will be excluded according to this criterion. The spectrum-generating algebra is also…

High Energy Physics - Theory · Physics 2010-12-13 Akira Kokado , Gaku Konisi , Takesi Saito

We start from the QED Lagrangian to describe a charged many-particle system coupled to the radiation field. A covariant density matrix approach to kinetic theory of QED plasmas, subjected to a strong external electro-magnetic field has…

Quantum Physics · Physics 2009-11-07 A. Hoell , V. G. Morozov , G. Roepke

In this brief note, we show that the residual symmetries that arise in the analysis of the tensionless superstrings in the equivalent of the conformal gauge is (a trivial extension of) the recently discovered 3d Super Bondi-Metzner-Sachs…

High Energy Physics - Theory · Physics 2016-11-23 Arjun Bagchi , Shankhadeep Chakrabortty , Pulastya Parekh

A generalization of the recently formulated nonlinear quantization of a parameterized theory is presented in the context of quantum gravity. The parametric quantization of a Friedmann universe with a massless scalar field is then considered…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Charles Wang

We extend the asymptotic symmetries of electromagnetism in order to consistently include angle-dependent $u(1)$ gauge transformations $\epsilon$ that involve terms growing at spatial infinity linearly and logarithmically in $r$, $\epsilon…

High Energy Physics - Theory · Physics 2023-03-29 Oscar Fuentealba , Marc Henneaux , Cédric Troessaert

Two dimensional conformal field theories with large central charge and a sparse low-lying spectrum are expected to admit a classical string holographic dual. We construct a large class of such theories employing permutation orbifold…

High Energy Physics - Theory · Physics 2015-04-06 Felix M. Haehl , Mukund Rangamani

We extend the usual vacuum Metric-Affine $f(R)$ Gravity by supplementing it with all parity even quadratic invariants in torsion and non-metricity. As we show explicitly this supplementation drastically changes the status of the Theory…

General Relativity and Quantum Cosmology · Physics 2024-09-19 Damianos Iosifidis

We discuss aspects of global and gauged symmetries in quantum field theory and quantum gravity, focusing on discrete gauge symmetries. An effective Lagrangian description of $\Z_p$ gauge theories shows that they are associated with an…

High Energy Physics - Theory · Physics 2011-04-22 Tom Banks , Nathan Seiberg

Recent work by Philbin [1] has provided a Lagrangian theory that establishes a general method for the canonical quantization of the electromagnetic field in any dispersive, lossy, linear dielectric. Working from this theory, we extend the…

Optics · Physics 2012-09-20 S. A. R. Horsley

In this paper, we systematically study the measures of multi-partite entanglement with the aim of constructing those measures that can be computed in probe approximation in the holographic dual. We classify and count general measures as…

High Energy Physics - Theory · Physics 2024-02-15 Abhijit Gadde , Vineeth Krishna , Trakshu Sharma

Using a uniformization map we determine the holographic entanglement entropy for states of a Warped Conformal Field Theory dual to a generic vacuum metric in AdS$_3$ gravity with Comp\`ere--Song--Strominger boundary conditions. We point out…

High Energy Physics - Theory · Physics 2020-06-30 Stéphane Detournay , Daniel Grumiller , Max Riegler , Quentin Vandermiers

This paper develops a new framework, \emph{simultaneous saturation}, designed to quantify the size of sets whose elements are simultaneously large. The framework establishes a correspondence between the magnitude of such sets and a system…

Classical Analysis and ODEs · Mathematics 2025-11-26 Melissa Tacy

In this paper, a way of generalizing the tensor renormalization group(TRG) is proposed. Mathematically, the connection between patterns of tensor renormalization group and the concept of truncation sequence in polytope geometry is…

Statistical Mechanics · Physics 2017-06-12 Peiyuan Teng

We explore $\mathcal{N}=1$ supersymmetric extensions of algebras going beyond the Poincar\'e and AdS ones in three spacetime dimensions. Besides reproducing two known examples, we present new superalgebras, which all correspond to…

High Energy Physics - Theory · Physics 2020-08-06 Patrick Concha , Remigiusz Durka , Evelyn Rodríguez

L-infinity morphisms are studied from the point of view of perturbative quantum field theory, as generalizations of Feynman expansions. The connection with the Hopf algebra approach to renormalization is exploited. Using the coalgebra…

High Energy Physics - Theory · Physics 2007-05-23 Lucian M. Ionescu

We propose an asymptotic expansion formula for matrix integrals, including oscillatory terms (derivatives of theta-functions) to all orders. This formula is heuristically derived from the analogy between matrix integrals, and formal matrix…

Mathematical Physics · Physics 2009-03-27 Bertrand Eynard

We consider the minimization of integral functionals in one dimension and their approximation by $r$-adaptive finite elements. Including the grid of the FEM approximation as a variable in the minimization, we are able to show that the…

Numerical Analysis · Mathematics 2025-10-31 Darith Hun , Nicolas Moës , Heiner Olbermann