(Q6422663)

English

Knizhnik–Zamolodchikov equations

linear ODEs/PDEs satisfied by correlation functions of 2D conformal field theory

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instance of

partial differential equation

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discoverer or inventor

Vadim Knizhnik

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Alexander Zamolodchikov

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time of discovery or invention

1984

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defining formula

\left((k+h^{\vee }){\frac {\partial }{\partial z_{i}}}+\sum _{j\neq i}{\frac {\eta _{ab}t_{i}^{a}\otimes t_{j}^{b}}{z_{i}-z_{j}}}\right)\left\langle \Phi (v_{N},z_{N})\dotsm \Phi (v_{1},z_{1})\right\rangle =0

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in defining formula

\left\langle \Phi (v_{N},z_{N})\dotsm \Phi (v_{1},z_{1})\right\rangle

symbol represents

correlation function

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\eta

symbol represents

Killing form

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

Freebase ID

/m/03w9sj6

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Microsoft Academic ID

133192937

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nLab ID

Knizhnik-Zamolodchikov equation

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Wikipedia(3 entries)

enwiki Knizhnik–Zamolodchikov equations
eswiki Ecuaciones de Knízhnik–Zamolódchikov
jawiki クニーズニク・ザモロドチコフ方程式

(Q6422663)

Knizhnik–Zamolodchikov equations

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