Results 31 to 40 of about 317 (185)

Deformed Virasoro Algebras from Elliptic Quantum Algebras [PDF]

Communications in Mathematical Physics, 2017
We revisit the construction of deformed Virasoro algebras from elliptic quantum algebras of vertex type, generalizing the bilinear trace procedure proposed in the 90's. It allows us to make contact with the vertex operator techniques that were introduced separately at the same period.
J. Avan, L. Frappat, E. Ragoucy
openaire   +3 more sources

WHITTAKER MODULES FOR THE VIRASORO ALGEBRA [PDF]

Journal of Algebra and Its Applications, 2009
Whittaker modules have been well studied in the setting of complex semisimple Lie algebras. Their definition can easily be generalized to certain other Lie algebras with triangular decomposition, including the Virasoro algebra. We define Whittaker modules for the Virasoro algebra and obtain analogues to several results from the classical setting ...
Ondrus, Matthew, Wiesner, Emilie
openaire   +2 more sources

Near-horizon extremal geometries: coadjoint orbits and quantization

Journal of High Energy Physics, 2018
The NHEG algebra is an extension of Virasoro introduced in [arXiv:1503.07861]; it describes the symplectic symmetries of (n + 4)-dimensional Near Horizon Extremal Geometries with SL(2, ℝ) × U(1) n+ 1 isometry. In this work we construct the NHEG group and
R. Javadinezhad, B. Oblak, M. M. Sheikh-Jabbari   +2 more
doaj   +1 more source

E8 spectral curves

Proceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020
Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
wiley   +1 more source

A Centerless Virasoro Algebra of Master Symmetries for the Ablowitz-Ladik Hierarchy

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We show that the (semi-infinite) Ablowitz-Ladik (AL) hierarchy admits a centerless Virasoro algebra of master symmetries in the sense of Fuchssteiner [Progr. Theoret. Phys. 70 (1983), 1508-1522].
Luc Haine, Didier Vanderstichelen
doaj   +1 more source

Berry phases on Virasoro orbits

Journal of High Energy Physics, 2017
We point out that unitary representations of the Virasoro algebra contain Berry phases obtained by acting on a primary state with conformal transformations that trace a closed path on a Virasoro coadjoint orbit.
Blagoje Oblak
doaj   +1 more source

Supersymmetric partition function hierarchies and character expansions

European Physical Journal C: Particles and Fields, 2023
We construct the supersymmetric $$\beta $$ β and (q, t)-deformed Hurwitz–Kontsevich partition functions through W-representations and present the corresponding character expansions with respect to the Jack and Macdonald superpolynomials, respectively ...
Rui Wang, Fan Liu, Min-Li Li, Wei-Zhong Zhao   +3 more
doaj   +1 more source

Maps on the Mirror Heisenberg–Virasoro Algebra

Mathematics
Using the first cohomology from the mirror Heisenberg–Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg–Virasoro algebra module), in this paper, we determined the derivations on the mirror Heisenberg–Virasoro algebra.
Xuelian Guo, Ivan Kaygorodov, Liming Tang   +2 more
doaj   +1 more source

Loop Schrödinger–Virasoro Lie conformal algebra [PDF]

International Journal of Mathematics, 2016
In this paper, we introduce two kinds of Lie conformal algebras, associated with the loop Schrödinger–Virasoro Lie algebra and the extended loop Schrödinger–Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of these two conformal algebras are completely determined. And nontrivial free conformal modules of rank
Chen, Haibo, Han, Jianzhi, Su, Yucai, Xu, Ying   +3 more
openaire   +2 more sources

Matrix model partition function by a single constraint

European Physical Journal C: Particles and Fields, 2021
In the recent study of Virasoro action on characters, we discovered that it gets especially simple for peculiar linear combinations of the Virasoro operators: particular harmonics of $${\hat{w}}$$ w ^ -operators.
A. Mironov, V. Mishnyakov, A. Morozov, R. Rashkov   +3 more
doaj   +1 more source