Strange identity of Freudenthal-de Vries
http://bomber0.myid.net/ (토론)님의 2012년 8월 26일 (일) 17:43 판
- Root Systems and Dynkin diagrams
- \(\rho\) Weyl vector
- Kac book 219p, 221p
- strange formula
\(\frac{<\rho,\rho>}{2h^{\vee}}=\frac{\operatorname{dim}\mathfrak{g}}{24}\) - very strange formula
- conformal anomaly
\(m_{\Lambda}=\frac{(\Lambda+\rho)^2}{2(k+h^{\vee})}-\frac{\rho^2}{2h^{\vee}}=h_{\lambda}-\frac{c(k)}{24}\)
H. FREUDENTHAL and H. DE VRIES. “Linear Lie groups”, New York: Academic Press, 1969.