标题： 约束电流代数和 $g/u(1)^d$ 共形场理论 显示英文标题

标题： Constrained current algebras and $g/u(1)^d$ conformal field theories

摘要： 具有仿射 Kac-Moody 代数 $\hat g$ 的 WZNW 理论中，受约束的 $\hat {u}(1)^d$ 电流通过狄拉克方法算符化。量子化后，初始的能量-动量张量被 $g/u(1)^d$ 共轭构造所取代。带有受约束的 $\hat u(1)$ 电流的 $\hat {su}(2)$ WZNW 理论等价于 $su(2)/u(1)$ 共形场论。 显示英文摘要

摘要： Operator quantization of the WZNW theory invariant with respect to an affine Kac-Moody algebra $\hat g$ with constrained $\hat {u}(1)^d$ currents is performed using Dirac's procedure. Upon quantization the initial energy-momentum tensor is replaced by the $g/u(1)^d$ coset construction. The $\hat {su}(2)$ WZNW theory with a constrained $\hat u(1)$ current is equivalent to the $su(2)/u(1)$ conformal field theory.