Subrata Bal

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We perform nonperturbative studies of the dimensionally reduced 5d YangMills-Chern-Simons model, in which a four-dimensional fuzzy manifold, “fuzzy S”, is known to exist as a classical solution. Although the action is unbounded from below, a well-defined vacuum, which stabilizes at large N , exists when the coefficient of the ChernSimons term is(More)
We have calculated interactions between two fuzzy spheres in 3 dimension. It depends on the distance r between the spheres and the radii ρ1, ρ2. There is no force between the spheres when they are far from each other (long distance case). We have also studied the interaction for r = 0 case. We find that an attractive force exists between two fuzzy sphere(More)
The high temperature limit of a system of two D-0 branes is investigated. The partition function can be expressed as a power series in β (inverse temperature). The leading term in the high temperature expression of the partition function and effective potential is calculated exactly. Physical quantities like the mean square separation can also be exactly(More)
The character of the exceptional series of representations of SU(1, 1) is determined by using Bargmann’s realization of the representation in the Hilbert space Hσ of functions defined on the unit circle. The construction of the integral kernel of the group ring turns out to be especially involved because of the non-local metric appearing in the scalar(More)
The character of the exceptional series of representations of SU(1, 1) is determined by using Bargmann’s realization of the representation in the Hilbert space Hσ of functions defined on the unit circle. The construction of the integral kernel of the group ring turns out to be especially involved because of the non-local metric appearing in the scalar(More)
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