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(다른 사용자 한 명의 중간 판 33개는 보이지 않습니다)
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This is the webpage for the seminar on QFT at the University of Queensland.
 
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Meetings: Thursdays 3-4:30 pm, Priestly Building Seminar Room 67-442
 
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INVITATION EMAIL SENT TO EVERYBODY IN MATH AND PHYSICS
 
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Dear colleagues,
 
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We are having a seminar on Affine Lie Algebras this semester. The goal is to introduce mathematicians to the physical intuition of the theory, while at the same time, introduce physicists to the mathematical rigour demanded by the theory. The seminar will meet once a week on
 
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Thursdays 3:00-4:30 pm - Priestly Building 67-442.
 
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The first meeting will be this coming Thursday (March 1).
 
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This is a continuation of the seminar we had last semester regarding mathematical aspects of quantum field theory. Following the approach of the last semester, most of the talks will be given by students and on voluntary basis. The talks will be of informal nature, with lots of questions and discussions. New postgraduate students who are interested in the topic are especially encouraged to participate. We hope to continue to have the presence of the more knowledgable staff to guide us through the intricacies of the subject. 
 
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The program of the seminar can be found at:
 
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https://sites.google.com/site/masoudkomi/research/qft
 
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This is the only email sent to the mass email list regarding this semester's seminar. If you are not already on the seminar's list and would like to be informed, please send me an email and I will include you in the future announcements.
 
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All the best, 
 
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==topics==
 
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===Kac-Moody algebras===
 
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===affine Lie algerbas as central extensions of loop algerbas===
 
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===Sugawara construction of Virasoro algebra===
 
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===integrable highest weight representations of affine Lie algebras===
 
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===Wess-Zumino-Witten model===
 
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===Weyl-Kac character formula and modular transformations===
 
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===fusion rules and Verlinde formula===
 
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===vertex operator constructions of basic representations===
 
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===future topics===
 
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* admissible representations
 
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* Heisenberg or Virasoro?
 
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==memo==
 
==memo==
 
* http://books.google.com.au/books?id=_0zyWYJGUakC&printsec=frontcover&dq=Application+of+group+theory+in+physics+and+mathematical+physics&source=bl&ots=q5F83jIVbm&sig=ii3X3aeugpTZMFa1DfiGnPOkPSc&hl=en&ei=1FIwTNiXN5SSjAf_0PCWBg&sa=X&oi=book_result&ct=result&redir_esc=y#v=onepage&q&f=false
 
* http://books.google.com.au/books?id=_0zyWYJGUakC&printsec=frontcover&dq=Application+of+group+theory+in+physics+and+mathematical+physics&source=bl&ots=q5F83jIVbm&sig=ii3X3aeugpTZMFa1DfiGnPOkPSc&hl=en&ei=1FIwTNiXN5SSjAf_0PCWBg&sa=X&oi=book_result&ct=result&redir_esc=y#v=onepage&q&f=false
  
  
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==links==
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===future topics===
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* [https://sites.google.com/site/masoudkomi/research/qft UQ Quantum Field Theory Seminar 2013-2014]
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* admissible representations of affine algebras
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* Heisenberg algebra
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==reading for fun==
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* W-algebra
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* Berman, Stephen, and Karen Hunger Parshall. ‘Victor Kac and Robert Moody: Their Paths to Kac-Moody Lie Algebras’. The Mathematical Intelligencer 24, no. 1 (13 January 2009): 50–60. doi:[http://link.springer.com/article/10.1007%2FBF03025312 10.1007/BF03025312].
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* Feigin-Frenkel isomorphism
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* Dolan, Louise. ‘The Beacon of Kac-Moody Symmetry for Physics’. Notices of the American Mathematical Society 42, no. 12 (1995): 1489–95. http://www.ams.org/notices/199512/dolan.pdf
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* KZ equation
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* quantum affine algebra
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* Shapovalov form
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* vertex algebra
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* loop groups and positive energy representation
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* free field realization
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** <math>b-c</math> ghost systems
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** <math>\beta-\gamma</math> ghost systems
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** free bosons - Heisenberg
  
  
 
[[분류:Talks and lecture notes]]
 
[[분류:Talks and lecture notes]]
 
[[분류:Lie theory]]
 
[[분류:Lie theory]]
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[[분류:migrate]]

2020년 11월 16일 (월) 04:28 기준 최신판

memo


future topics

  • admissible representations of affine algebras
  • Heisenberg algebra
  • W-algebra
  • Feigin-Frenkel isomorphism
  • KZ equation
  • quantum affine algebra
  • Shapovalov form
  • vertex algebra
  • loop groups and positive energy representation
  • free field realization
    • \(b-c\) ghost systems
    • \(\beta-\gamma\) ghost systems
    • free bosons - Heisenberg
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