2026-09-20T10:20:27Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/345462022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Victor G. Kac.
Heluani, Reimundo
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2006-11-07T12:53:31Z
2006-11-07T12:53:31Z
2006
2006
http://hdl.handle.net/1721.1/34546
71012051
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.
151 p.
7925705 bytes
7932023 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Super symmetric vertex algebras and supercurves
Thesis
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