Research Interest of Ilarion Melnikov

      Publication 1: Instantons, Hypermultiplets and the Heterotic String (URL)
      Publication 2: Non-Local Observables in the A-model (URL)
      Publication 3: A-Model Correlators from the Coulomb Branch (URL)

    URL of Research: 

Statement of Interest:



  My current projects include 
 1. Torsion solutions via (generalized) gauged linear sigma models---
     this work has fun connections to generalized complex geometry and
     may be a nice way to obtain exactly computable results via twisting.

 2. Applications of localization techniques to theories of topological matter
     coupled to topological gravity on the world-sheet.

A more geometrical project is a study of
 3. First order Lagrangians on the space of almost complex structures, whose
     fixed points include integrable complex structures.  

In general, I am interested in the physics of perturbative strings in
non-trivial backgrounds---highly curved manifolds, solutions with
torsion, and hopefully eventually with Ramond-Ramond fluxes.
Understanding these often involves unravelling non-perturbative alpha'
effects by a combination of geometric and field-theoretic techniques.