10 citations · 42 across the 17 of their papers we have counts for
6 papers · 1 filter
Chern-Simons Gauge Invariance and Boundary Conformal Fields
Kumar Abhinav, Samir K. Paul
The topological non-Abelian Chern-Simons theory with a boundary is shown to require a scalar field companion in order to preserve overall gauge-invariance both in the 3 dimensional…
Consistent 3D Quantum Gravity on Lens Spaces
Rudranil Basu, Samir K Paul
We study non-perturbative quantization of 3d gravity with positive cosmological constant (de Sitter space being the prototype vacuum solution, whose Euclideanization of course give…
Quillen bundle and Geometric Prequantization of Non-Abelian Vortices on a Riemann surface
Rukmini Dey, Samir K. Paul
In this paper we prequantize the moduli space of non-abelian vortices. We explicitly calculate the symplectic form arising from the metric and we construct a prequantum line…
The appearence of the resolved singular hypersurface {x_0}{x_1}-{{x_2}^n} =0 in the classical phase space of the Lie group SU(n)
Samir K. Paul, Siddhartha Sen
A classical phase space with a suitable symplectic structure is constructed together with functions which have Poisson brackets algebraically identical to the Lie algebra structure…
N = 2 Super Algebra and its Nonlinear Realization Through Super KP Formulation
Sasanka Ghosh, Samir K. Paul
A nonlinear realization of super algebra is shown to exist through a consistent superLax formulation of super KP hierarchy. The reduction of the superLax operator give…
KDV Hierarchy and its Nonpolynomial Realization Through Kac-Moody Currents
Sasanka Ghosh, Samir K. Paul
It is shown that KdV hierarchy can be expressed as definite nonpolynomials in Kac Moody currents and their derivatives by the action of Borel subgroup of on the…