Dilogarithms, OPE, and twisted t-duality

Marco Aldi; Reimundo Heluani

doi:10.1093/imrn/rns258

Dilogarithms, OPE, and twisted t-duality

Marco Aldi, Reimundo Heluani^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study the full sigmamodel 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 4-point 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 4-point functions and 5-point functions.

Original language	English (US)
Pages (from-to)	1528-1575
Number of pages	48
Journal	International Mathematics Research Notices
Volume	2014
Issue number	6
DOIs	https://doi.org/10.1093/imrn/rns258
State	Published - Jan 1 2014

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Mathematics(all)

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Dilogarithms, OPE, and twisted t-duality

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