Two-Dimensional Twisted Sigma Models And The Theory of Chiral Differential Operators

  title={Two-Dimensional Twisted Sigma Models And The Theory of Chiral Differential Operators},
  author={Mingjun Tan},
In this paper, we study the perturbative aspects of a twisted version of the twodimensional (0, 2) heterotic sigma model on a holomorphic gauge bundle E over a complex, hermitian manifold X. We show that the model can be naturally described in terms of the mathematical theory of “Chiral Differential Operators”. In particular, the physical anomalies of the sigma model can be reinterpreted in terms of an obstruction to a global definition of the associated sheaf of vertex superalgebras derived… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 20 references

Chiral algebras

  • A. Beilinson, V. Drinfeld
  • American Mathematical Society
  • 2004
Highly Influential
4 Excerpts

Mirror manifolds and topological field theory

  • E. Witten
  • ‘Essays On Mirror Manifolds’, ed. S.-T. Yau…
  • 1992
Highly Influential
3 Excerpts

Topological field theory and 2D quantum gravity

  • R. Dijkgraaf
  • ‘Two- Dimensional Quantum Gravity and Random…
  • 1992
1 Excerpt