Generalized Heisenberg–Virasoro algebra and matrix models from quantum algebra
نویسندگان
چکیده
In this paper, we construct the Heisenberg–Virasoro algebra in framework of R(p,q)-deformed quantum algebras. Moreover, R(p,q)-Heisenberg–Witt n-algebras is also investigated. Furthermore, generalize notion elliptic Hermitian matrix models. We use constraints to evaluate R(p,q)-differential operators Virasoro and it higher order differential operators. Particular cases corresponding algebras existing literature are deduced.
منابع مشابه
Generalized Algebra-Valued Models of Set Theory
We generalize the construction of lattice-valued models of set theory due to Takeuti, Titani, Kozawa and Ozawa to a wider class of algebras and show that this yields a model of a paraconsistent logic that validates all axioms of the negation-free fragment of Zermelo-Fraenkel set theory. §
متن کاملRepresentation of SU (∞) Algebra for Matrix Models
We investigate how the matrix representation of SU(N) algebra approaches that of the Poisson algebra in the large N limit. In the adjoint representation, the (N2 − 1)× (N2 − 1) matrices of the SU(N) generators go to those of the Poisson algebra in the large N limit. However, it is not the case for the N × N matrices in the fundamental representation.
متن کاملExactly Solved Models with Quantum Algebra Symmetry*
We have constructed and solved various one-dimensional quantum mechanical models which have quantum algebra symmetry. Here we summarize this work, and also present new results on graded models, and on the so-called string solutions of the Bethe Ansatz equations for the A (2) 2 model.
متن کاملCubic Matrix, Generalized Spin Algebra and Uncertainty Relation
We propose a generalization of spin algebra using three-index objects. There is a possibility that a triple commutation relation among three-index objects implies a kind of uncertainty relation among their expectation values. E-mail: [email protected]
متن کاملQuantum Algebra and Quantum Topology
I work in an area at the intersection of representation theory, low-dimensional topology, higher category theory, and operator algebras which is often referred to as quantum algebra or quantum topology. A practical description of this field is that it consists of the mathematics which is descended from the Jones polynomial [Jon85]. The unifying idea behind quantum topology is to consider a func...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2023
ISSN: ['0022-2488', '1527-2427', '1089-7658']
DOI: https://doi.org/10.1063/5.0150975