230 citations · 2.5k across the 87 of their papers we have counts for
88 papers
A few comments on (hyper)kähler geometry
A. V. Smilga
In this note, we make two methodical observations. We prove in a simple explicit way that a necessary and sufficient condition for a Kähler manifold to be hyperkähler is…
Witten index in 4d supersymmetric gauge theories
A. V. Smilga
We present a review of Witten index calculations in different supersymmetric gauge theories in four dimensions: supersymmetric electrodynamics, pure N=1 supersymmetric Yang-Mills t…
Monopole harmonics on
Dmitri Bykov, Andrei Smilga
We find the spectra and eigenfunctions of both ordinary and supersymmetric quantum-mechanical models describing the motion of a charged particle over the manifo…
Comments on noncommutative quantum mechanical systems associated with Lie algebras
Andrei Smilga
We consider quantum mechanics on the noncommutative spaces characterized by the commutation relations where are the structure const…
Weak supersymmetric quantum systems
A. V. Smilga
We present several examples of supersymmetric quantum mechanical systems with weak superalgebra . One of them is the weak oscillator. It has a singlet ground sta…
Modified Korteweg-de Vries Equation as a System with Benign Ghosts
Andrei Smilga
We consider the modified Korteweg-de Vries equation, , and explore its dynamics in {\it spatial} direction. Higher derivatives bring about th…