On dual description of the deformed O(N) sigma model
On dual description of the deformed O(N) sigma model
复制标题
变形 O(N) sigma 模型的对偶描述
DOI：
10.1007/jhep11(2018)139
复制
发表时间：
2018
影响因子：
5.4
通讯作者：
L. Spodyneiko
中科院分区：
文献类型：
--
作者：
A. Litvinov;A. Litvinov;L. Spodyneiko;L. Spodyneiko
我们研究了O(N)Sigma模型保可积变形的对偶强耦合描述。对偶理论由狄拉克费米子与四费米子相互作用和玻色场与指数相互作用的耦合理论描述。我们认为这两个理论与量子场论具有相同的可积结构，并与量子场论重合。我们构造了在紫外光中表现为受引力子算符扰动的自由理论的Ricci流方程的解，并证明它与T对偶变换后的η变形O(N)Sigma模型的度规一致。
A bstractWe study dual strong coupling description of integrability-preserving deformation of the O(N) sigma model. Dual theory is described by a coupled theory of Dirac fermions with four-fermion interaction and bosonic fields with exponential interactions. We claim that both theories share the same integrable structure and coincide as quantum field theories. We construct a solution of Ricci flow equation which behaves in the UV as a free theory perturbed by graviton operators and show that it coincides with the metric of the η-deformed O(N) sigma-model after T -duality transformation.