"Strange identity of Freudenthal-de Vries"의 두 판 사이의 차이

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==introduction==
 
==introduction==
 
* [[Root Systems and Dynkin diagrams]]
 
* [[Root Systems and Dynkin diagrams]]
* <math>\rho</math> Weyl vector
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* <math>\rho</math> Weyl vector
 
* Kac book 219p, 221p
 
* Kac book 219p, 221p
 
*  strange formula :<math>\frac{\langle\rho,\rho\rangle}{2h^{\vee}}=\frac{\operatorname{dim}\mathfrak{g}}{24}</math>
 
*  strange formula :<math>\frac{\langle\rho,\rho\rangle}{2h^{\vee}}=\frac{\operatorname{dim}\mathfrak{g}}{24}</math>
7번째 줄: 7번째 줄:
 
*  conformal anomaly :<math>m_{\Lambda}=\frac{(\Lambda+\rho)^2}{2(k+h^{\vee})}-\frac{\rho^2}{2h^{\vee}}=h_{\lambda}-\frac{c(k)}{24}</math>
 
*  conformal anomaly :<math>m_{\Lambda}=\frac{(\Lambda+\rho)^2}{2(k+h^{\vee})}-\frac{\rho^2}{2h^{\vee}}=h_{\lambda}-\frac{c(k)}{24}</math>
  
 
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==articles==
 
==articles==
 
* Thiel, Marko, and Nathan Williams. “Strange Expectations.” arXiv:1508.05293 [math], August 21, 2015. http://arxiv.org/abs/1508.05293.
 
* Thiel, Marko, and Nathan Williams. “Strange Expectations.” arXiv:1508.05293 [math], August 21, 2015. http://arxiv.org/abs/1508.05293.

2020년 12월 28일 (월) 04:11 판

introduction

  • Root Systems and Dynkin diagrams
  • \(\rho\) Weyl vector
  • Kac book 219p, 221p
  • strange formula \[\frac{\langle\rho,\rho\rangle}{2h^{\vee}}=\frac{\operatorname{dim}\mathfrak{g}}{24}\]
  • very strange formula
  • conformal anomaly \[m_{\Lambda}=\frac{(\Lambda+\rho)^2}{2(k+h^{\vee})}-\frac{\rho^2}{2h^{\vee}}=h_{\lambda}-\frac{c(k)}{24}\]


articles