8 citations · 9 across the 11 of their papers we have counts for
11 papers
Laughlin quasihole geometry from a single snapshot ensemble
Kaushlendra Kumar
Can a probability distribution measured in one basis determine complex quantum geometry? The answer is affirmative for a lattice Laughlin quasihole. The exact occupation law at one…
Calibrated Helstrom geometry on the Bloch ball via Connes spectral distance
Kaushlendra Kumar
We show that the equal-prior Helstrom trace-distance geometry of qubit states is recovered from Connes spectral distance in a finite scalar-qubit-scalar model. The two scalar refer…
Characteristic Lightcone Sources in SO(1,3) Yang-Mills Theory
Kaushlendra Kumar
The SO(1,3)-symmetric reduction of Yang-Mills theory on Minkowski space yields a stress-energy tensor that is smooth on the timelike and spacelike Lorentz orbits but diverges on th…
Geometric Aharonov-Bohm phase effect around a black hole
Kaushlendra Kumar, Shahn Majid
In recent work, we have explored the novel possibility that the geodesic of a spacetime density flow in GR could be upgraded to an amplitude with density . We now show h…
Geodesic flows on a black-hole background
Kaushlendra Kumar, Shahn Majid
A recent notion of geodesic flows which comes out of noncommutative geometry but which is also novel in the classical case is studied in detail for a Schwarzschild spacetime. In th…
Modified Einstein equations from the 1-loop effective action of the IKKT model
Kaushlendra Kumar, Harold C. Steinacker
We derive the equations of motion that arise from the one-loop effective action for the geometry of 3+1 dimensional quantum branes in the IKKT matrix model. These equations are cas…
On Yang-Mills fields from anti-de Sitter spaces
Kaushlendra Kumar
Motivated by some recent progress involving a non-compact gauge group, we obtain classical gauge fields using non-compact foliations of anti-de Sitter space in 4 dimensions (requir…
Exact gauge fields from anti-de Sitter space
Savan Hirpara, Kaushlendra Kumar, Olaf Lechtenfeld +1
In 1977 Lüscher found a class of SO(4)-symmetric SU(2) Yang-Mills solutions in Minkowski space, which have been rederived 40 years later by employing the isometry $S^3\cong\mathrm{…
SO(1,3) Yang-Mills solutions on Minkowski space via cosets
Kaushlendra Kumar
We present a novel family of Yang-Mills solutions, with gauge group SO(1,3), on Minkowski space that are geometrically distinguished into two classes, viz. interior and exterior of…
Yang-Mills solutions on Minkowski space via non-compact coset spaces
Kaushlendra Kumar, Olaf Lechtenfeld, Gabriel Picanço Costa +1
We find a two-parameter family of solutions of the Yang-Mills equations for gauge group SO(1,3) on Minkowski space by foliating different parts of it with non-compact coset spaces…
Solutions of Yang-Mills theory in four-dimensional de Sitter space
Kaushlendra Kumar
This doctoral work deals with the analysis of some Yang-Mills solutions on 4-dimensional de Sitter space d. The conformal equivalence of this space with a finite Lorentzian cy…