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We show that, without any extra physical degree introduced, the Standard Model can be readily reformulated as a Double Field Theory. Consequently, the Standard Model can couple to an arbitrary stringy gravitational background in an…

High Energy Physics - Theory · Physics 2015-10-26 Kang-Sin Choi , Jeong-Hyuck Park

Double field theory was developed by theoretical physicists as a way to encompass $T$-duality. In this paper, we express the basic notions of the theory in differential-geometric invariant terms, in the framework of para-Kaehler manifolds.…

Differential Geometry · Mathematics 2015-06-04 Izu Vaisman

The first-order formulation of the G/K symmetric space sigma model of the scalar cosets of the supergravity theories is discussed when there is coupling of (m-1)-form matter fields. The Lie superalgebra which enables the dualized coset…

High Energy Physics - Theory · Physics 2010-01-15 Tekin Dereli , Nejat T. Yilmaz

In the recent article Phys.\ Lett.\ B {\bf 759} (2016) 424 a new class of field theories called Nonlinear Field Space Theory has been proposed. In this approach, the standard field theories are considered as linear approximations to some…

High Energy Physics - Theory · Physics 2017-01-05 Jakub Mielczarek

The formal structure of the early Einstein's Special Relativity follows the axiomatic deductive method of Euclidean geometry. In this paper we show the deep-rooted relation between Euclidean and space-time geometries that are both linked to…

Classical Physics · Physics 2007-05-23 Dino Boccaletti , Francesco Catoni , Vincenzo Catoni

A new version of the modified theory of gravity is formulated in which two physical metrics are constructed out of two vierbeins connected with each other by the duality condition including the flat metric of the prior geometry. The duality…

General Relativity and Quantum Cosmology · Physics 2025-05-20 V. I. Tselyaev

In a previous article, a universal linear algebraic model was proposed for describing homogeneous conformal geometries, such as the spherical, Euclidean, hyperbolic, Minkowski, anti-de Sitter and Galilei planes. This formalism was…

Metric Geometry · Mathematics 2018-04-12 Mate Lehel Juhasz

In the context of four-dimensional type II supergravities, the successive application of various S/T-dualities leads to a generalized notion of fluxes, which includes certain (non-)geometric fluxes along with the standard RR and NS-NS…

High Energy Physics - Theory · Physics 2024-10-23 George K. Leontaris , Pramod Shukla

We study static kink configurations in a type of two-dimensional higher derivative scalar field theory whose Lagrangian contains second-order derivative terms of the field. The linear fluctuation around arbitrary static kink solutions is…

High Energy Physics - Theory · Physics 2018-11-14 Yuan Zhong , Rong-Zhen Guo , Chun-E Fu , Yu-Xiao Liu

This work deals with lump-like structures in models described by a single real scalar field in two-dimensional spacetime. We start with a model that supports lump-like configurations and use the deformation procedure to construct scalar…

High Energy Physics - Theory · Physics 2018-07-06 D. Bazeia , L. Losano , Gonzalo J. Olmo

This text collects useful results concerning the quasi-Hopf algebra $\D $. We give a review of issues related to its use in conformal theories and physical mathematics. Existence of such algebras based on 3-cocycles with values in $ {R} /…

High Energy Physics - Theory · Physics 2007-05-23 D. Altschuler , A. Coste , J-M. Maillard

This work starts with the observation of a certain "rule" (up to now unexplored) in the fundamental laws of Nature. We show some evidence of this, and formulate it as a fundamental principle which exhibits a number physical consequences. In…

High Energy Physics - Theory · Physics 2007-05-23 M. Botta Cantcheff

We develop an augmented characteristic, first-order formulation of the field equations in f(R) gravity governing the global evolution of a (possibly) massive scalar field phi under spherical symmetry. This formulation is designed to isolate…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Philippe G. LeFloch , Filipe C. Mena

We study two supersymmetric toy models of a k-form superfield, k=2,1 separately. By ``solving'' Jacobi identities, we show that each model is completely solvable at off-shell level, possesses a severely constrained kinematics, and gives a…

Mathematical Physics · Physics 2015-06-26 Jeong-Hyuck Park

This paper proposes an axiomatic for Cyclic Foam Topological Field theories. That is Topological Field theories, corresponding to String theories, where particles are arbitrary graphs. World surfaces in this case are two-manifolds with…

Geometric Topology · Mathematics 2010-05-07 S. M. Natanzon

We consider multiple scalar fields coupled to gravity, with special attention given to two-field theories. First, the conditions necessary for these theories to meet solar system tests are given. Next, we investigate the cosmological…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Andrew L. Berkin , Ronald W. Hellings

A class of non-semisimple extensions of Lie superalgebras is studied. They are obtained by adjoining to the superalgebra its adjoint representation as an abelian ideal. When the superalgebra is of affine Kac-Moody type, a generalisation of…

Mathematical Physics · Physics 2015-06-11 A. Babichenko , D. Ridout

The Hilbert spaces of supersymmetric systems admit symmetries which are often related to the topology and geometry of the (target) field-space. Here, we study certain (2,2)-supersymmetric systems in 2-dimensional spacetime which are closely…

High Energy Physics - Theory · Physics 2009-10-31 Tristan Hubsch

Topological euclidean gravity is built in eight dimensions for manifolds with $Spin(7) \subset SO(8)$ holonomy. In a previous work, we considered the construction of an eight-dimensional topological theory describing the graviton and one…

High Energy Physics - Theory · Physics 2009-11-10 Laurent Baulieu , Marc Bellon , Alessandro Tanzini

In present paper, we search the existence of dark energy scalar field models within in $f(R, T)$ gravity theory established by Harko et al. (Phys. Rev. D 84, 024020, 2011) in a flat FRW universe. The correspondence between scalar field…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Vinod Kumar Bhardwaj , Anirudh Pradhan
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