标题： 对数函数，OPE和扭曲T对偶性 显示英文标题

标题： Dilogarithms, OPE and twisted T-duality

摘要： 我们通过双场理论的哈密顿表述来研究目标为三维海森堡尼尔流形的全sigma模型。 我们证明了与带有H通量的环面上的sigma模型之间的预期T-对偶性是该理论的明显对称性。 我们计算标量场的相关函数，并表明它们表现出双对数奇异性。 我们说明双对数的反射和五边形恒等式如何通过具有4个和5个插入项的相关函数来解释。 显示英文摘要

摘要： We study the full sigma model with target the three-dimensional Heisenberg nilmanifold by means of a Hamiltonian formulation of double field theory. We show that the expected T -duality with the sigma model on a torus endowed with H-flux is a manifest symmetry of the theory. We compute correlation functions of scalar fields and show that they exhibit dilogarithmic singularities. We show how the reflection and pentagonal identities of the dilogarithm can be interpreted in terms of correlators with 4 and 5 insertions.