Research Interest of Andrew McHugh

      Publication 1: The Space of Super Light Rays for Complex Conformal Spacetimes (URL)
      Publication 2: The Space of Super Light Rays for D=10, N=1 Superconformal  Structures (URL)
      Publication 3: Holomorphic Chern-Simons and BF Theories on Super Twistor Spaces (URL)

    URL of Research: 

Statement of Interest:


  I am presently investigating a possible QFT of Coherent Sheaves. The category of Coherent Sheaves on a complex space includes both holomorphic vector bundles (gauge fields) and subvarieties (strings and p-branes) as subcategories.  A correspondence between perturbative holomorpic Chern-Simons theory for bundles with a 0,1 connection and a string theory on CP^3 was crucial in the formulation of Witten's twistor-string.  I hope by exploring holomorphic Chern-Simons and BF theories on Pali's d-bar coherent sheaves(arXiv:math/0305422v2)to see if there is a
generalization of such a correspondence for other spaces such as super ambitwistor space.