Two-Dimensional Conformal Geometry and Vertex Operator Algebras

Released on by Yi-Zhi Huang
preview-18

  • Two-Dimensional Conformal Geometry and Vertex Operator Algebras Book Detail

  • Author : Yi-Zhi Huang
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 289
  • ISBN 13 : 1461242762
  • File Size : 35,35 MB
DOWNLOAD BOOK

Two-Dimensional Conformal Geometry and Vertex Operator Algebras by Yi-Zhi Huang PDF Summary

Book Description: The theory of vertex operator algebras and their representations has been showing its power in the solution of concrete mathematical problems and in the understanding of conceptual but subtle mathematical and physical struc- tures of conformal field theories. Much of the recent progress has deep connec- tions with complex analysis and conformal geometry. Future developments, especially constructions and studies of higher-genus theories, will need a solid geometric theory of vertex operator algebras. Back in 1986, Manin already observed in Man) that the quantum theory of (super )strings existed (in some sense) in two entirely different mathematical fields. Under canonical quantization this theory appeared to a mathematician as the representation theories of the Heisenberg, Vir as oro and affine Kac- Moody algebras and their superextensions. Quantization with the help of the Polyakov path integral led on the other hand to the analytic theory of algebraic (super ) curves and their moduli spaces, to invariants of the type of the analytic curvature, and so on.He pointed out further that establishing direct mathematical connections between these two forms of a single theory was a big and important problem. On the one hand, the theory of vertex operator algebras and their repre- sentations unifies (and considerably extends) the representation theories of the Heisenberg, Virasoro and Kac-Moody algebras and their superextensions.

Disclaimer: www.yourbookbest.com does not own Two-Dimensional Conformal Geometry and Vertex Operator Algebras books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Vertex Algebras and Algebraic Curves

Vertex Algebras and Algebraic Curves

File Size : 51,51 MB
Total View : 7740 Views
DOWNLOAD

Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras ar