Zobrazeno 1 - 10
of 211
pro vyhledávání: '"Kumar, Kaushlendra"'
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 cast into the form of generalized Einstein equations, with extra contribu
Externí odkaz:
http://arxiv.org/abs/2312.01317
Autor:
Kumar, Kaushlendra
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 (required dimensionality for conformal invariance of Yang-Mills theory) and t
Externí odkaz:
http://arxiv.org/abs/2310.00391
In 1977 L\"uscher 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 $S^3\cong\mathrm{SU}(2)$ and conformally mapping SU(2)-equivariant solutions of the Y
Externí odkaz:
http://arxiv.org/abs/2301.03606
Autor:
Kumar, Kaushlendra
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 the lightcone. We achieve this by foliating the former with SO(1,3)/S
Externí odkaz:
http://arxiv.org/abs/2212.01341
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 with SO(1,3) isometry. The interior of the lightcone is foliated with
Externí odkaz:
http://arxiv.org/abs/2206.12009
Autor:
Kumar, Kaushlendra
This doctoral work deals with the analysis of some Yang-Mills solutions on 4-dimensional de Sitter space d$S_4$. The conformal equivalence of this space with a finite Lorentzian cylinder over the 3-sphere and also with parts of Minkowski space has re
Externí odkaz:
http://arxiv.org/abs/2202.12215
We investigate the trajectories of point charges in the background of finite-action vacuum solutions of Maxwell's equations known as knot solutions. More specifically, we work with a basis of electromagnetic knots generated by the so-called "de Sitte
Externí odkaz:
http://arxiv.org/abs/2202.00169
Publikováno v:
Eur. Phys. J. Plus 137 (2022) 407
We revisit a newfound construction of rational electromagnetic knots based on the conformal correspondence between Minkowski space and a finite $S^3$-cylinder. We present here a more direct approach for this conformal correspondence based on Carter-P
Externí odkaz:
http://arxiv.org/abs/2106.05952
Publikováno v:
Nuclear Physics B 973 (2021) 115583
There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang-Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in early-universe cosmology for stabilizing the symmetric Higgs vacuum.
Externí odkaz:
http://arxiv.org/abs/2102.08401
Autor:
Kumar, Kaushlendra, Lechtenfeld, Olaf
We employ a recently developed method for constructing rational electromagnetic field configurations in Minkowski space to investigate several properties of these source-free finite-action Maxwell ("knot") solutions. The construction takes place on t
Externí odkaz:
http://arxiv.org/abs/2002.01005