Results 11 to 20 of about 540 (186)

Notes on higher-derivative conformal theory with nonprimary energy-momentum tensor that applies to the Nambu-Goto string

open access: yesJournal of High Energy Physics, 2023
I investigate the higher-derivative conformal theory which shows how the Nambu-Goto and Polyakov strings can be told apart. Its energy-momentum tensor is conserved, traceless but does not belong to the conformal family of the unit operator.
Yuri Makeenko
doaj   +1 more source

ODE/IM correspondence and supersymmetric affine Toda field equations

open access: yesNuclear Physics B, 2022
We study the linear differential system associated with the supersymmetric affine Toda field equations for affine Lie superalgebras, which has a purely odd simple root system.
Katsushi Ito, Mingshuo Zhu
doaj   +1 more source

Bk spin vertex models and quantum algebras

open access: yesNuclear Physics B, 2020
We construct new solvable vertex models based on the spin representation of the Lie algebra Bk. We use these models to study the algebraic structure underlying such vertex theories.
Doron Gepner
doaj   +1 more source

On a class of conformal E $$ \mathcal{E} $$ -models and their chiral Poisson algebras

open access: yesJournal of High Energy Physics, 2023
In this paper, we study conformal points among the class of E $$ \mathcal{E} $$ -models. The latter are σ-models formulated in terms of a current Poisson algebra, whose Lie-theoretic definition allows for a purely algebraic description of their dynamics ...
Sylvain Lacroix
doaj   +1 more source

The Lorentz Group Using Conformal Geometric Algebra and Split Quaternions for Color Image Processing: Theory and Practice

open access: yesIEEE Access, 2023
The processing of color images is of great interest, because the human perception of color is a very complex process, still not well understood. In this article, firstly the authors present an analysis of the well-known mathematical methods used to model
Eduardo Bayro-Corrochano   +2 more
doaj   +1 more source

Gauge Symmetry and Howe Duality in 4D Conformal Field Theory Models

open access: yesAdvances in Mathematical Physics, 2010
It is known that there are no local scalar Lie fields in more than two dimensions. Bilocal fields, however, which naturally arise in conformal operator product expansions, do generate infinite Lie algebras.
Ivan Todorov
doaj   +1 more source

A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE

open access: yesActa Polytechnica, 2014
We present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole.
Satoshi Ohya
doaj   +1 more source

On Riemannian manifolds endowed with a locally conformal cosymplectic structure

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
We deal with a locally conformal cosymplectic manifold M(φ,Ω,ξ,η,g) admitting a conformal contact quasi-torse-forming vector field T. The presymplectic 2-form Ω is a locally conformal cosymplectic 2-form.
Ion Mihai   +2 more
doaj   +1 more source

Generalizing the $$\mathfrak {bms}_{3}$$ bms3 and 2D-conformal algebras by expanding the Virasoro algebra

open access: yesEuropean Physical Journal C: Particles and Fields, 2018
By means of the Lie algebra expansion method, the centrally extended conformal algebra in two dimensions and the $$\mathfrak {bms}_{3}$$ bms3 algebra are obtained from the Virasoro algebra.
Ricardo Caroca   +3 more
doaj   +1 more source

On realizations of Lie algebras

open access: yesActa Polytechnica
We discuss and compare the main methods for constructing of Lie vector fields from the given Lie algebra structure constants. Generic realizations of three conformal algebras are obtained by the algebraic method and all realizations of the three ...
Maryna Nesterenko   +3 more
doaj   +1 more source

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