Dilogarithms, OPE, and twisted t-duality

Marco Aldi, Reimundo Heluani*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)1528-1575
Number of pages48
JournalInternational Mathematics Research Notices
Volume2014
Issue number6
DOIs
StatePublished - Jan 1 2014

ASJC Scopus subject areas

  • Mathematics(all)

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