B. Abdesselam

activity

19942009

most citedBrane World Cosmology with Gauss-Bonnet Interaction

61 citations · 254 across the 31 of their papers we have counts for

collaborators

31 papers

quant-ph2009

Unitary Braid Matrices: Bridge between Topological and Quantum Entanglements

B. Abdesselam, A. Chakrabarti

Braiding operators corresponding to the third Reidemeister move in the theory of knots and links are realized in terms of parametrized unitary matrices for all dimensions. Two dist…

math.QA2008

Exotic Bialgebras from 9x9 Unitary Braid Matrices

B. Abdesselam, A. Chakrabarti, V. K. Dobrev +1

We present the exotic bialgebras that arise from a 9x9 unitary braid matrix.

math.QA2008★ 3 cited

Multiparameter statistical models from $N^{2} \times N^{2}$ braid matrices: Explicit eigenvalues of transfer matrices $T^{(r)}$ , spin chains, factorizable scatterings for all $N$

B. Abdesselam, A. Chakrabarti

For a class of multiparameter statistical models based on $N^{2} \times N^{2}$ braid matrices the eigenvalues of the transfer matrix $T^{(r)}$ are obtained explicitly for all $(r,…

math.QA2008★ 4 cited

A new eight vertex model and higher dimensional, multiparameter generalizations

B. Abdesselam, A. Chakrabarti

We study statistical models, specifically transfer matrices corresponding to a multiparameter hierarchy of braid matrices of $(2 n)^{2} \times (2 n)^{2}$ dimensions with $2 n^{2}$ free parame…

math.QA2007★ 14 cited

Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions

B. Abdesselam, A. Chakrabarti, V. K. Dobrev +1

A class of $(2 n)^{2} \times (2 n)^{2}$ multiparameter braid matrices are presented for all $n$ $(n \geq 1)$ . Apart from the spectral parameter $θ$ , they depend on $2 n^{2}$ free parameters $m…

math.QA2007★ 12 cited

Higher Dimensional Unitary Braid Matrices: Construction, Associated Structures and Entanglements

B. Abdesselam, A. Chakrabarti, V. K. Dobrev +1

We construct $(2 n)^{2} \times (2 n)^{2}$ unitary braid matrices $R^$ for $n \geq 2$ generalizing the class known for $n = 1$ . A set of $(2 n) \times (2 n)$ matrices $(I, J, K, L)$ are define…

Unitary Braid Matrices: Bridge between Topological and Quantum Entanglements

Exotic Bialgebras from 9x9 Unitary Braid Matrices

Multiparameter statistical models from N2×N2 braid matrices: Explicit eigenvalues of transfer matrices T(r), spin chains, factorizable scatterings for all N

A new eight vertex model and higher dimensional, multiparameter generalizations

Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions

Higher Dimensional Unitary Braid Matrices: Construction, Associated Structures and Entanglements

Multiparameter statistical models from $N^{2} \times N^{2}$ braid matrices: Explicit eigenvalues of transfer matrices $T^{(r)}$ , spin chains, factorizable scatterings for all $N$