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MAT 648: Topics in Mathematical Physics: Supersymmetry

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Fall 2005

**Instructor.** Michael Anderson, Math 4-100A.

E-mail: anderson@math.sunysb.edu, Phone: 632-8269.

Lectures: MW: 10:15-11:35, in Physics P130.

**Office Hours.**TuWTh 1-2pm, and by appointment.

**Course Description.** Supersymmetry has been important in
theoretical physics for some time, (although it still awaits experimental
verification), and it has become increasingly useful in many areas of
mathematics. The goal is to learn basic aspects of supersymmetry and some
of the theories associated with it. We hope to have some topics covered
from a physicist's perspective, taught by Martin Rocek and/or William Linch
of the ITP. The plan is to cover most all of Dan Freed's book on the topic,
and if time permits, discuss some of the notable applications of supersymmetry
to mathematics, e.g. some of Witten's earlier papers.

**Prerequistes.** A standard background in differential geometry.
Some knowledge of special relativity and spinors (as covered in last semester's
gauge theory course) will be helpful, but can be picked up as we go along.

**Text.** The main text we will use is:

- Daniel Freed, Five Lectures on Supersymmetry, Amer. Math. Soc.

We hope to cover essentially all of this text during the semester and you
will need to have it. It is inexpensive and can be easily purchased and
delivered, e.g. through the AMS (American Math. Soc.)
Some other books that may be useful are:
- V.S. Varadarajan, Supersymmetry for Mathematicians: An Introduction,
Amer. Math. Soc.
- Peter G.O. Freund, Introduction to Supersymmetry, Cambridge Univ. Press.

**Assignments and Grading.** No formal assignments are envisioned at
this time. The grade will be based on class participation and discussion.

*Americans with Disability Act.* If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disabled Student Services in ECC (Educational Communications Center) Building, Room 128, (631) 632-6748. They will determine with you what accomodations are necessary and appropriate. All information and documentation is confidential.

Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disabled Student Services. For procedures and information, go the following website: http://www.ehs.sunysb.edu/fire/disabilities/asp, here