Beyond the Large N Limit: Non-linear W∞ as Symmetry of the SL(2,R)/U(1) Coset Model ∗
Beyond the Large N Limit: Non-linear W∞ as Symmetry of the SL(2,R)/U(1) Coset Model ∗
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超越大 N 极限：作为 SL(2,R)/U(1) 陪集模型对称性的非线性 W∞
DOI：
10.1142/s0217751x92003720
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发表时间：
1991
影响因子：
1.6
通讯作者：
E. Kiritsis
中科院分区：
文献类型：
--
作者：
I. Bakas;E. Kiritsis
我们证明了SL（2，R）k/ U（1）陪集模型的对称代数是W∞的非线性变形，其特征为k.这是一个泛W-代数，它在大k极限下线性化，并且当K=-N时截断为WN。利用非紧的仿费米子理论，我们构造了非线性W∞的自由场实现，它是用带背景荷的两玻色子表示的。计算了所有酉SL（2，R）/ U（1）表示的W-特征标。应用物理学的2-D黑洞背景进行了讨论，并与KP方法c=1弦理论的连接进行了概述。
We show that the symmetry algebra of the SL(2,R)k/ U(1) coset model is a non-linear deformation of W∞, characterized by k. This is a universal W-algebra which linearizes in the large k limit and truncates to WN for K=-N. Using the theory of non-compact parafermions we construct a free field realization of the non-linear W∞ in terms of two bosons with background charge. The W-characters of all unitary SL(2,R)/ U(1) representations are computed. Applications to the physics of 2-d black hole backgrounds are also discussed and connections with the KP approach to c=1 string theory are outlined.