Super symmetric vertex algebras and supercurves
Name
71012051-MIT.pdf
Description
Full printable version
Size
7.56 MB
Format
Adobe PDF
Checksum (MD5)
13a7126ba14cab1706c29aed85c7a75e
Author(s)
Heluani, Reimundo
Advisor(s)
Victor G. Kac.
Date Issued
2006
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2006.
Includes bibliographical references (p. 149-151).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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