Research Interest of Anton Zeitlin

      Publication 1: A.M. Zeitlin, Perturbed beta–gamma systems and complex geometry, Volume 794, Issue 3, 381-401 (URL)
      Publication 2: A.M. Zeitlin, Formal Maurer-Cartan structures: from CFT to Classical Field Equations, JHEP12(2007)098 (URL)
      Publication 3: A.M. Zeitlin, Homotopy Lie superalgebra in Yang-Mills theory, JHEP09(2007)068 (URL)

    URL of Research: http://math.yale.edu/~az84

Statement of Interest:


  My current interests include the following topics:

1) Homological structures in quantum field theory, namely
differential-geometric homotopy algebras which naturally appear
in gauge theories (including gravity), and their relation to homotopy
algebras of String Field Theory.

2) Geometry of beta-gamma systems, and also the geometry of sheaves of
chiral vertex operators. In particular, geometric and algebraic features of
perturbed beta-gamma systems.

3) Vertex algebras (including braided ones), their interrelations with
conformal field theory, integrable systems
and quantum groups.