Dilogarithms, OPE and twisted T-duality

Details Dilogarithms, OPE and twisted T-duality Dilogarithms, OPE and twisted T-duality

2011-05-21

arxiv.org/abs/1105.4280v1

Physics

Mathematical Physics

33 pages

Scientific paper

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.

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