Results 21 to 30 of about 70,318 (221)

Conformal structure of FLRW cosmology: spinorial representation and the so $$ \mathfrak{so} $$ (2, 3) algebra of observables

Journal of High Energy Physics, 2020
It was recently shown that the homogeneous and isotropic cosmology of a massless scalar field coupled to general relativity exhibits a new hidden conformal invariance under Mobius transformation of the proper time, additionally to the invariance under ...
Jibril Ben Achour, Etera R. Livine
doaj   +1 more source

Loop W(a,b) Lie conformal algebra [PDF]

, 2016
Fix $a,b\in\C$, let $LW(a,b)$ be the loop $W(a,b)$ Lie algebra over $\C$ with basis $\{L_{\a,i},I_{\b,j} \mid \a,\b,i,j\in\Z\}$ and relations $[L_{\a,i},L_{\b,j}]=(\a-\b)L_{\a+\b,i+j}, [L_{\a,i},I_{\b,j}]=-(a+b\a+\b)I_{\a+\b,i+j},[I_{\a,i},I_{\b,j}]=0 ...
Guangzhe Fan, Henan Wu, Bo Yu
semanticscholar   +1 more source

Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions

Journal of High Energy Physics, 2020
We provide a Lie algebra expansion procedure to construct three-dimensional higher-order Schrödinger algebras which relies on a particular subalgebra of the four-dimensional relativistic conformal algebra.
Oguzhan Kasikci, Nese Ozdemir, Mehmet Ozkan, Utku Zorba   +3 more
doaj   +1 more source

Cohomology of the Schrödinger–Virasoro conformal algebra [PDF]

, 2021
Lie conformal algebra, which was introduced by Kac in [6, 7], gives an axiomatic description of the operator product expansion (or rather its Fourier transform) of chiral fields in conformal field theory (see [2]).
Henan Wu, Lipeng Luo
semanticscholar   +1 more source

Galilean contractions of W-algebras

Nuclear Physics B, 2017
Infinite-dimensional Galilean conformal algebras can be constructed by contracting pairs of symmetry algebras in conformal field theory, such as W-algebras.
Jørgen Rasmussen, Christopher Raymond
doaj   +1 more source

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

Journal 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

Nuclear 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

Calculus structure on the Lie conformal algebra complex and the variational complex [PDF]

, 2010
We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [A. De Sole and V. G.
A. Sole, Pedram Hekmati, V. Kac
semanticscholar   +1 more source

Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra [PDF]

, 2016
In this paper, we classify all finite irreducible conformal modules over a class of Lie conformal algebras $\mathcal{W}(b)$ with $b\in\mathbb{C}$ related to the Virasoro conformal algebra.
Henan Wu, Lamei Yuan
semanticscholar   +1 more source

Bk spin vertex models and quantum algebras

Nuclear 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