Results 51 to 60 of about 317 (185)

From tensor algebras to hyperbolic Kac-Moody algebras

Journal of High Energy Physics
We propose a novel approach to study hyperbolic Kac-Moody algebras, and more specifically, the Feingold-Frenkel algebra 𝔉, which is based on considering the tensor algebra of level-one states before descending to the Lie algebra by converting tensor ...
Axel Kleinschmidt, Hannes Malcha, Hermann Nicolai   +2 more
doaj   +1 more source

On rigidity of 3d asymptotic symmetry algebras

Journal of High Energy Physics, 2019
We study rigidity and stability of infinite dimensional algebras which are not subject to the Hochschild-Serre factorization theorem. In particular, we consider algebras appearing as asymptotic symmetries of three dimensional spacetimes, the b m s 3 ...
A. Farahmand Parsa, H. R. Safari, M. M. Sheikh-Jabbari   +2 more
doaj   +1 more source

Wall‐crossing for quasimaps to GIT stack bundles

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We define the notion of ε$\epsilon$‐stable quasimaps to a GIT stack bundle, and study the wall‐crossing behavior of the resulting ε$\epsilon$‐quasimap theory as ε$\epsilon$ varies.
Shidhesh Supekar, Hsian‐Hua Tseng
wiley   +1 more source

Confluent conformal blocks of the second kind

Journal of High Energy Physics, 2020
We construct confluent conformal blocks of the second kind of the Virasoro algebra. We also construct the Stokes transformations which map such blocks in one Stokes sector to another. In the BPZ limit, we verify explicitly that the constructed blocks and
Jonatan Lenells, Julien Roussillon
doaj   +1 more source

From the conformal anomaly to the Virasoro algebra

Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.
Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
wiley   +1 more source

Extremal rotating black holes in the near-horizon limit: Phase space and symmetry algebra

Physics Letters B, 2015
We construct the NHEG phase space, the classical phase space of Near-Horizon Extremal Geometries with fixed angular momenta and entropy, and with the largest symmetry algebra. We focus on vacuum solutions to d dimensional Einstein gravity.
G. Compère, K. Hajian, A. Seraj, M.M. Sheikh-Jabbari   +3 more
doaj   +1 more source

BMS symmetry via AdS/CFT

Journal of High Energy Physics, 2021
With a view to understanding extended-BMS symmetries in the framework of the AdS 4 /CFT 3 correspondence, asymptotically AdS geometries are constructed with null impulsive shockwaves involving a discontinuity in superrotation parameters.
David A. Lowe, David M. Ramirez
doaj   +1 more source

Additional symmetries of the dispersionless cKP hierarchy

Physics Letters B, 2021
In this paper, the additional symmetries of the dispersionless cKP hierarchy are given by introducing vital formal Laurent series Yl. The additional flows form a subalgebra of the Virasoro algebra. Furthermore, the additional flows acting on μ(t,z) and ρ(
Kelei Tian, Song Li, Ge Yi, Ying Xu
doaj   +1 more source

Loop Heisenberg-Virasoro Lie conformal algebra [PDF]

Journal of Mathematical Physics, 2014
Let HV be the loop Heisenberg-Virasoro Lie algebra over ℂ with basis {Lα,i, Hβ,j∣α, β, i, j ∈ ℤ} and brackets [Lα,i, Lβ,j] = (α − β) Lα+β,i+j, [Lα,i, Hβ,j] = − βHα+β,i+j, [Hα,i, Hβ,j] = 0. In this paper, a formal distribution Lie algebra of HV is constructed.
Guangzhe Fan, Yucai Su, Henan Wu
openaire   +2 more sources

Symmetries in the Hamiltonian Formulation of String Theory

Advances in High Energy Physics, Volume 2025, Issue 1, 2025.
In the context of the Hamiltonian formulation of string theory, a widely acknowledged issue is the inability of the first‐class constraints to accurately reproduce the Lagrangian symmetry transformations. We take a critical look at the Hamiltonian formulation of the Polyakov string and demonstrate, using Castellani′s procedure, that diffeomorphism and ...
Héctor A. Benítez, René Negrón, Xiao Yan Chew   +2 more
wiley   +1 more source