A. Chakrabarti

activity

19942012

most citedHigher order curvature generalisations of Bartnick-McKinnon and coloured black hole solutions in

d = 5

58 citations · 410 across the 51 of their papers we have counts for

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20 papers · 1 filter

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…

math.QA2006★ 1 cited

A new class $o^_{N}$ of statistical models: Transfer matrix eigenstates, chain Hamiltonians, factorizable $S$ -matrix

B. Abdesselam, A. Chakrabarti

Statistical models corresponding to a new class of braid matrices ( $o^_{N}; N \geq 3$ ) presented in a previous paper are studied. Indices labeling states spanning the $N^{r}$ dimen…

math.QA2006★ 6 cited

A nested sequence of projectors (2): Multiparameter multistate statistical models, Hamiltonians, S-matrices

B. Abdesselam, A. Chakrabarti

Our starting point is a class of braid matrices, presented in a previous paper, constructed on a basis of a nested sequence of projectors. Statistical models associated to such $N^…

math.QA2005★ 2 cited

On super-Jordanian $U_{h} (s l (N ∣1))$ algebra

B. Abdesselam, A. Chakrabarti, R. Chakrabarti +2

A nonlinear realisation of the nonstandard (super-Jordanian) deformed $U_{h} (s l (N ∣1))$ algebra is given for arbitrary $N$ .

math.QA2004

Exotic bialgebras : non-deformation quantum groups

D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1

In the classification of solutions of the Yang--Baxter equation, there are solutions that are not deformations of the trivial solution (essentially the identity). We consider the a…

math.QA2003★ 10 cited

Canonical factorization and diagonalization of Baxterized braid matrices: Explicit constructions and applications

A. Chakrabarti

Braid matrices $R^(θ)$ , corresponding to vector representations, are spectrally decomposed obtaining a ratio $f_{i} (θ) / f_{i} (- θ)$ for the coefficient of each projector $P_{i}$ …

math.QA2002★ 15 cited

Spectral Decomposition and Baxterisation of Exotic Bialgebras and Associated Noncommutative Geometries

D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1

We study the geometric aspects of two exotic bialgebras S03 and S14 introduced in math.QA/0206053. These bialgebras are obtained by the Faddeev-Reshetikhin-Takhtajan RTT prescripti…

math.QA2002★ 4 cited

Modified braid equations, Baxterizations and noncommutative spaces for the quantum groups $G L_{q} (N), S O_{q} (N)$ and $S p_{q} (N)$

A. Chakrabarti, R. Chakrabarti

Modified braid equations satisfied by generalized $R^$ matrices (for a {\em given} set of group relations obeyed by the elements of $T$ matrices ) are constructed for q…

math.QA2002★ 9 cited

Duality and Representations for New Exotic Bialgebras

D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1

We find the exotic matrix bialgebras which correspond to the two non-triangular nonsingular 4x4 R-matrices in the classification of Hietarinta, namely, R_{S0,3} and R_{S1,4}. We fi…

math.QA2001★ 3 cited

Jordanian Quantum Algebra $U_{h} (s l (N))$ via Contraction Method and Mapping

B. Abdesselam, A. Chakrabarti, R. Chakrabarti

Using the contraction procedure introduced by us in Ref. \cite{ACC2}, we construct, in the first part of the present letter, the Jordanian quantum Hopf algebra ${\cal U}_{\sf h}(sl…

math.QA2001★ 3 cited

Modified Braid Equations for SO_q (3) and noncommutative spaces

A. Chakrabarti

General solutions of the $R^T T$ equation with a maximal number of free parameters in the specrtal decomposition of vector $S O_{q} (3)$ $R^$ matrices are implemented to cons…

math.QA2001★ 9 cited

Duality for Exotic Bialgebras

D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1

In the classification of Hietarinta, three triangular $4 \times 4$ $R$ -matrices lead, via the FRT formalism, to matrix bialgebras which are not deformations of the trivial one. In t…

math.QA2000★ 4 cited

RTT relations, a modified braid equation and noncommutative planes

A. Chakrabarti

With the known group relations for the elements $(a, b, c, d)$ of a quantum matrix $T$ as input a general solution of the $R T T$ relations is sought without imposing the Yang - Baxter…

math.QA2000★ 18 cited

On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations

B. L. Aneva, D. Arnaudon, A. Chakrabarti +2

Combined $(q, h)$ -deformations proposed by Kupershmidt and Ballesteros-Herranz-Parashar are studied. In each case a transformation is shown to lead to an equivalent, standard $q$ -de…

math.QA2000★ 1 cited

The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra

A. Chakrabarti, R. Chakrabarti

Using a contraction procedure, we construct a twist operator that satisfies a shifted cocycle condition, and leads to the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra. The correspon…

math.QA1998★ 13 cited

Maps and twists relating $U (s l (2))$ and the nonstandard $U_{h} (s l (2))$ : unified construction

B. Abdesselam, A. Chakrabarti, R. Chakrabarti +1

A general construction is given for a class of invertible maps between the classical $U (s l (2))$ and the Jordanian $U_{h} (s l (2))$ algebras. Different maps are directly useful in dif…

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

A new class o^N​ of statistical models: Transfer matrix eigenstates, chain Hamiltonians, factorizable S-matrix

A nested sequence of projectors (2): Multiparameter multistate statistical models, Hamiltonians, S-matrices

On super-Jordanian Uh​(sl(N∣1)) algebra

Exotic bialgebras : non-deformation quantum groups

Canonical factorization and diagonalization of Baxterized braid matrices: Explicit constructions and applications

Spectral Decomposition and Baxterisation of Exotic Bialgebras and Associated Noncommutative Geometries

Modified braid equations, Baxterizations and noncommutative spaces for the quantum groups GLq​(N),SOq​(N) and Spq​(N)

Duality and Representations for New Exotic Bialgebras

Jordanian Quantum Algebra Uh​(sl(N)) via Contraction Method and Mapping

Modified Braid Equations for SO_q (3) and noncommutative spaces

Duality for Exotic Bialgebras

RTT relations, a modified braid equation and noncommutative planes

On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations

The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra

Maps and twists relating U(sl(2)) and the nonstandard Uh​(sl(2)): unified construction

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

A new class $o^_{N}$ of statistical models: Transfer matrix eigenstates, chain Hamiltonians, factorizable $S$ -matrix

On super-Jordanian $U_{h} (s l (N ∣1))$ algebra

Modified braid equations, Baxterizations and noncommutative spaces for the quantum groups $G L_{q} (N), S O_{q} (N)$ and $S p_{q} (N)$

Jordanian Quantum Algebra $U_{h} (s l (N))$ via Contraction Method and Mapping

Maps and twists relating $U (s l (2))$ and the nonstandard $U_{h} (s l (2))$ : unified construction