52 citations · 749 across the 56 of their papers we have counts for
25 papers · 1 filter
Fermionic dual of one-dimensional bosonic particles with derivative delta function potential
B. Basu-Mallick, Tanaya Bhattacharyya
We investigate the boson-fermion duality relation for the case of quantum integrable derivative -function bose gas. In particular, we find out a dual fermionic system with nonva…
Inequivalent quantization of the rational Calogero model with a Coulomb type interaction
B. Basu-Mallick, Kumar S. Gupta, S. Meljanac +1
We consider the inequivalent quantizations of a -body rational Calogero model with a Coulomb type interaction. It is shown that for certain range of the coupling constants, this…
Low energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin chain
B. Basu-Mallick, Nilanjan Bondyopadhaya, Diptiman Sen
The ground state and low energy excitations of the SU(m|n) supersymmetric Haldane-Shastry spin chain are analyzed. In the thermodynamic limit, it is found that the ground state deg…
Boson-fermion duality in SU(m|n) supersymmetric Haldane-Shastry spin chain
B. Basu-Mallick, Nilanjan Bondyopadhaya, Kazuhiro Hikami +1
By using the Y(gl(m|n)) super Yangian symmetry of the SU(m|n) supersymmetric Haldane-Shastry spin chain, we show that the partition function of this model satisfies a duality relat…
Quantization and Conformal Properties of a Generalized Calogero Model
B. Basu-Mallick, K. S. Gupta, S. Meljanac +1
We analyze a generalization of the quantum Calogero model with the underlying conformal symmetry, paying special attention to the two-body model deformation. Owing to the underlyin…
Exact partition function of SU(m|n) supersymmetric Haldane-Shastry spin chain
B. Basu-Mallick, Nilanjan Bondyopadhaya
By taking the freezing limit of a spin Calogero-Sutherland model containing `anyon like' representation of the permutation algebra, we derive the exact partition function of SU(m|n…