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) |
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Pages (from-to) | 1528-1575 |
Number of pages | 48 |
Journal | International Mathematics Research Notices |
Volume | 2014 |
Issue number | 6 |
DOIs | |
State | Published - Jan 1 2014 |
ASJC Scopus subject areas
- Mathematics(all)