运动局部积分环上作为模的局部域空间
The Space of Local Fields as a Module over the Ring of Local Integrals of Motion
摘要：
本文研究了Sine-Gordon或SU（2）不变Thirring模型中局部域的手征空间作为局部运动积分的交换代数D上的模。利用Feigin等人最近在单位根上的量子仿射代数构造形状因子的方法，我们构造了局部域空间的D-自由分解。在一般情况下，与局部域空间相关的de Rham型复形的上同调被确定并证明是辛群Sp（2 \infty）的不可约表示。Babelon-Bernard-Smirnov对局部域空间的描述自动地被纳入这个框架。
英文摘要：
The chiral space of local fields in Sine-Gordon or the SU(2)-invariant Thirring model is studied as a module over the commutative algebra D of local integrals of motion. Using the recent construction of form factors by means of quantum affine algebra at root of unity due to Feigin et al. we construct a D-free resolution of the space of local fields. In general the cohomologies of the de Rham type complex associated with the space of local fields are determined and shown to be the irreducible representations of the symplectic group Sp(2\infty). Babelon-Bernard-Smirnov's description of the space of local fields automatically incorporated in this framework.
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