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Related papers: Some considerations on duality concerning kappa-Mi…

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We study S-duality transformations that mix the Riemann tensor with the field strength of a 3-form field. The dual of an (A)dS space time - with arbitrary curvature - is seen to be flat Minkowski space time, if the 3-form field has…

High Energy Physics - Theory · Physics 2009-11-10 U. Ellwanger

We present a second-quantized field theory of massive spin one-half particles or antiparticles in the presence of a weak gravitational field treated as a spin two external field in a flat Minkowski background. We solve the difficulties…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Christian J. Bordé , Jean-Claude Houard , Alain Karasiewicz

We examine a recently proposed class of integrable deformations to two-dimensional conformal field theories. These {\lambda}-deformations interpolate between a WZW model and the non-Abelian T-dual of a Principal Chiral Model on a group G…

High Energy Physics - Theory · Physics 2015-06-23 Konstantinos Sfetsos , Daniel C. Thompson

We use the additional variables of suitably enlarged superspaces to write new actions for extended objects, with kappa-symmetry, in such a way that the tension emerges from them as an integration constant. Our actions correspond to the…

High Energy Physics - Theory · Physics 2009-11-10 Jose A. de Azcarraga , Jose M. Izquierdo , Cesar Miquel-Espanya

In these notes, based on the lectures given at 40th Winter School on Theoretical Physics, I review some aspects of Doubly Special Relativity (DSR). In particular, I discuss relation between DSR and quantum gravity, the formal structure of…

High Energy Physics - Theory · Physics 2009-11-10 Jerzy Kowalski-Glikman

We expand the generic model involving chiral matter, super Yang-Mills gauge fields, and supergravity to second order in the gravity and gauge prepotentials in a manifestly covariant and conformal way. Such a class of models includes…

High Energy Physics - Theory · Physics 2009-12-22 Daniel Butter

A natural star product for 4-d $\kappa$-Minkowski space is used to investigate various classes of $\kappa$-Poincar\'e invariant scalar field theories with quartic interactions whose commutative limit coincides with the usual $\phi^4$…

High Energy Physics - Theory · Physics 2018-07-11 T. Poulain , J. -C. Wallet

In this study, we construct a 1+1-dimensional, relativistic, free, complex scalar Quantum Field Theory on the noncommutative spacetime known as lightlike $\kappa$-Minkowski. The associated $\kappa$-Poincar\'e quantum group of isometries is…

High Energy Physics - Theory · Physics 2024-12-03 Giuseppe Fabiano , Flavio Mercati

We introduce a notion of quadratic duality for chiral algebras. This can be viewed as a chiral version of the usual quadratic duality for quadratic associative algebras. We study the relationship between this duality notion and the…

Quantum Algebra · Mathematics 2022-12-22 Zhengping Gui , Si Li , Keyou Zeng

In two-dimensional conformal field theories (CFT) in Minkowski spacetime, we study the spacetime distance between two events along two distinct modular trajectories. When the spatial line is bipartite by a single interval, we consider both…

High Energy Physics - Theory · Physics 2025-01-22 Dobrica Jovanovic , Mihail Mintchev , Erik Tonni

We construct a Dirac equation in $\kappa$-Minkowski spacetime and analyse its implications. This $\kappa$-deformed Dirac equation is expanded as a power series involving derivatives with respect to commutative coordinates and the…

High Energy Physics - Theory · Physics 2011-07-28 E. Harikumar , M. Sivakumar , N. Srinivas

We introduce and study conformal field theories specified by $W-$algebras commuting with certain set of screening charges. These CFT's possess perturbations which define integrable QFT's. We establish that these QFT's have local and…

High Energy Physics - Theory · Physics 2018-12-26 V. A. Fateev , A. V. Litvinov

Traditionally the physics of the Unruh effect, i.e. the q.f.t. in the wedges $W_R$ or $W_L$ in Minkowski space is related to the physics in the Rindler Fock space, which is a proplematical strategy. In a careful analysis we show that the…

General Relativity and Quantum Cosmology · Physics 2018-04-26 Manfred Requardt

The standard model ascribes distinct properties to different chiralities of fermions. We show how to incorporate this aspect in an extended spacetime-property framework involving two different attributes using a generalized metric which…

High Energy Physics - Theory · Physics 2015-04-08 Robert Delbourgo , Paul D. Stack

We describe the local D=4 field theory on $\kappa$--deformed Minkowski space as nonlocal relativistic field theory on standard Minkowski space--time. For simplicity the case of $\kappa$-deformed scalar field $\phi$ with the interaction…

High Energy Physics - Theory · Physics 2016-08-15 P. Kosiński , J. Lukierski , P. Maślanka

We explore some general consequences of a consistent formulation of relativistic quantum field theory (QFT) on the Groenewold-Moyal-Weyl noncommutative versions of Minkowski space with covariance under the twisted Poincare' group of…

High Energy Physics - Theory · Physics 2017-08-23 Gaetano Fiore

We demonstrate that the fusion algebra of conformal defects of a two-dimensional conformal field theory contains information about the internal symmetries of the theory and allows one to read off generalisations of Kramers-Wannier duality.…

Statistical Mechanics · Physics 2009-11-10 J"urg Fr"ohlich , J"urgen Fuchs , Ingo Runkel , Christoph Schweigert

The concept of Euclidean time is proposed which is dual to the usual Minkowski time. The De Sitter solution is shown to be dual to the anti-De Sitter solution under the dual transformation in which Euclidean time and Minkowski time are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hirotaka Sugawara

We consider local field theory on $\kappa$-deformed Minkowski space which is an example of solvable Lie-algebraic noncommutative structure. Using integration formula over $\kappa$-Minkowski space and $\kappa$-deformed Fourier transform we…

High Energy Physics - Theory · Physics 2009-10-31 P. Kosinski , J. Lukierski , P. Maslanka

The self-duality of chiral p-forms was originally investigated by Pasti, Sorokin and Tonin in a manifestly Lorentz covariant action with non-polynomial auxiliary fields. The investigation was then extended to other chiral p-form actions. In…

High Energy Physics - Theory · Physics 2009-10-31 Yan-Gang Miao , R. Manvelyan , H. J. W. Mueller-Kirsten