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math-ph2016★ 10 cited
Nesting statistics in the O(n) loop model on random planar maps
Gaëtan Borot, Jérémie Bouttier, Bertrand Duplantier
In the O(n) loop model on random planar maps, we study the depth - in terms of the number of levels of nesting - of the loop configuration, by means of analytic combinatorics. We f…
math-ph2014★ 4 cited
-adic Berglund-Hübsch Duality
Marco Aldi, Andrija Peruničić
Berglund-Hübsch duality is an example of mirror symmetry between orbifold Landau-Ginzburg models. In this paper we study a D-module-theoretic variant of Borisov's proof of Berglund…
math-ph2011★ 8 cited
Dilogarithms, OPE and twisted T-duality
Marco Aldi, Reimundo Heluani
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 -du…