145 citations · 1.4k across the 82 of their papers we have counts for
23 papers · 1 filter
Uncertainty relation in Schwarzschild spacetime
Jun Feng, Yao-Zhong Zhang, Mark D. Gould +1
We explore the entropic uncertainty relation in the curved background outside a Schwarzschild black hole, and find that Hawking radiation introduces a nontrivial modification on th…
Entropic uncertainty relations under the relativistic motion
Jun Feng, Yao-Zhong Zhang, Mark D. Gould +1
The uncertainty principle bounds our ability to simultaneously predict two incompatible observables of a quantum particle. Assisted by a quantum memory to store the particle, this…
Exact solution of the XXZ Gaudin model with generic open boundaries
Wen-Li Yang, Yao-Zhong Zhang, Mark D. Gould
The XXZ Gaudin model with {\it generic} integerable boundaries specified by generic {\it non-diagonal} K-matrices is studied. The commuting families of Gaudin operators are diagona…
Finite matrix model of quantum Hall fluids on
Yi-Xin Chen, Mark D. Gould, Yao-Zhong Zhang
Based on Haldane's spherical geometrical formalism of two-dimensional quantum Hall fluids, the relation between the noncommutative geometry of and the two-dimensional quantum…
Current Superalgebra and Non-unitary Conformal Field Theory
Xiang-Mao Ding, Mark D. Gould, Yao-Zhong Zhang
Motivated by application of current superalgebras in the study of disordered systems such as the random XY and Dirac models, we investigate current superalgebra at genera…
On osp(2|2) conformal field theories
Xiang-Mao Ding, Mark D. Gould, Courtney J. Mewton +1
We study the conformal field theories corresponding to current superalgebras and . We construct the free field realizations, screen currents an…
Parafermions: A New Conformal Field Theory
Xiang-Mao Ding, Mark. D. Gould, Yao-Zhong Zhang
A new parafermionic algebra associated with the homogeneous space and its corresponding -algebra have been recently proposed. In this paper, we give a free boso…
Twisted Parafermions
Xiang-Mao Ding, Mark. D. Gould, Yao-Zhong Zhang
A new type of nonlocal currents (quasi-particles), which we call twisted parafermions, and its corresponding twisted -algebra are found. The system consists of one spin-1 bosoni…
Twisted Current Algebra: Free Field Representation and Screening Currents
Xiang-Mao Ding, Mark D. Gould, Yao-Zhong Zhang
Motivated by applications of twisted current algebras in description of the entropy of black hole, we investigate the simplest twisted current algebra $sl(3,{\bf C})^{(2)}_…
Solutions of the Yang-Baxter Equation with Extra Non-Additive Parameters II: }
Gustav W. Delius, Mark D. Gould, Jon R. Links +1
The type-I quantum superalgebras are known to admit non-trivial one-parameter families of inequivalent finite dimensional irreps, even for generic . We apply the recently develo…
On Type-I Quantum Affine Superalgebras
Gustav W. Delius, Mark D. Gould, Jon R. Links +1
The type-I simple Lie-superalgebras are and . We study the quantum deformations of their untwisted affine extensions and $U_q(osp(2|2n)^{(…
Solutions to the Quantum Yang-Baxter Equation with Extra Non-Additive Parameters
Anthony J. Bracken, Gustav W. Delius, Mark D. Gould +1
We present a systematic technique to construct solutions to the Yang-Baxter equation which depend not only on a spectral parameter but in addition on further continuous parameters.…
On the Construction of Trigonometric Solutions of the Yang-Baxter Equation
Gustav W. Delius, Mark D. Gould, Yao-Zhong Zhang
We describe the construction of trigonometric R-matrices corresponding to the (multiplicity-free) tensor product of any two irreducible representations of a quantum algebra $U_q(\G…
Quantum Affine Lie Algebras, Casimir Invariants and Diagonalization of the Braid Generator
Mark D. Gould, Yao-Zhong Zhang
Let be an infinite-dimensional quantum affine Lie algebra. A family of central elements or Casimir invariants are constructed and their eigenvalues computed in…
Infinite Families of Gauge-Equivalent -Matrices and Gradations of Quantized Affine Algebras
Anthony J. Bracken, Gustav W. Delius, Mark D. Gould +1
Associated with the fundamental representation of a quantum algebra such as or , there exist infinitely many gauge-equivalent -matrices with different spect…
A possible origin of symmetric/asymmetric vertex models
Anthony J. Bracken, Yao-Zhong Zhang, Mark D Gould
This paper is removed from the network permanently. The content in this paper has now been put together with hep-th/9310183. See the recently replaced and widely revised version of…
Once More about Spectral-Dependent Quantum -Matrix for
Anthony J. Bracken, Mark D. Gould, Yao-Zhong Zhang
The recently obtained results in \cite{ZG2} are used to compute the explicitly spectral-dependent -matrix (or the intertwiners) on and $V_{(3)}(x)…
Quantum affine algebras and universal R-matrix with spectral parameter, II
Yao-Zhong Zhang, Mark D. Gould
This paper is an extended version of our previous short letter \cite{ZG2} and is attempted to give a detailed account for the results presented in that paper. Let $U_q({\cal G}^{(1…
Quantum Affine Algebras and Universal -Matrix with Spectral Parameter
Yao-Zhong Zhang, Mark D. Gould
Using the previous obtained universal -matrix for the quantized nontwisted affine Lie algebras and , we determine the explicitly spectral-depend…
Casimir Invariants for Quantized Affine Lie Algebras
M. D. Gould, Y. -Z. Zhang
Casimir invariants for quantized affine Lie algebras are constructed and their eigenvalues computed in any irreducible highest weight representation.
Quantized Affine Lie Algebras and Diagonalization of Braid Generators
Mark D. Gould, Yao-Zhong Zhang
Let be a quantized affine Lie algebra. It is proven that the universal R-matrix of satisfies the celebrated conjugation relation $R^\dag…
Unitarity and Complete Reducibility of Certain Modules over Quantized Affine Lie Algebras
Yao-Zhong Zhang, Mark D. Gould
Let denote the quantized affine Lie algebra and the quantized {\em nontwisted} affine Lie algebra. Let be the categor…
On Universal -Matrix for Quantized Nontwisted Rank 3 Affine Lie Algebras
Yao-Zhong Zhang, Mark D. Gould
Explicit formulas of the universal -matrix are given for all quantized nontwisted rank 3 affine Lie algebras and .