Super symmetric vertex algebras and supercurves

• Main Author: Heluani, Reimundo
• Other Authors: Victor G. Kac.
• Format: Others
• Language: English
• Published: Massachusetts Institute of Technology 2006
• Subjects: Mathematics.
• Online Access: http://hdl.handle.net/1721.1/34546

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2006. === Includes bibliographical references (p. 149-151). === We define and study the structure of SUSY Lie conformal and vertex algebras. This leads to effective rules for computations with superfields. Given a strongly conformal SUSY vertex algebra V and a supercurve X, we construct a vector bundle [ ... ] on X, the fiber of which, is isomorphic to V. Moreover, the state-field correspondence of V canonically gives rise to (local) sections of these vector bundles. We also define chiral algebras on any supercurve X, and show that the vector bundle [ ... ] corresponding to a SUSY vertex algebra, carries the structure of a chiral algebra. === by Reimundo Heluani. === Ph.D.