Mirror manifolds to toric Calabi-Yau threefolds are encoded in algebraic curves. The quantization of these curves leads naturally to quantum-mechanical operators on the real line. We show that,...

# Publications

## Pages

This paper describes the states of quantum versions of finitedimensional Hamilton–Dirac systems in terms of (analogues of) the Wigner function. We give a system of equations, which we call the...

The loop O(n) model is a model for a random collection of non-intersecting loops on the hexagonal lattice, which is believed to be in the same universality class as the spin O(n) model. It has...

The large level limit of the N=2 SO(2*N*) Kazama-Suzuki coset models is argued to be equivalent to the orbifold of 4*N *free fermions and bosons by the Lie group SO(2*N*)×SO...

Three relativistic particles in addition to the photon are detected in the cosmic microwave background (CMB). In the standard model of cosmology, these are interpreted as the three neutrino...

In this paper we study gravitational wave perturbations in a cosmological setting of bigravity which can reproduce the {\Lambda}CDM background and large scale structure. We show that in general...

An n-dimensional algebraic variety in ({\mathbb C}^\times)^{2n} covers its amoeba as well as its coamoeba generically finite-to-one. We provide an upper bound for the volume of these amoebas as...

We introduce the notion of operadic torsors and operadic quasi-torsors. We show that if an operadic (quasi-)torsor between two operads exists, then these operads are (quasi-)isomorphic. As an...

We defend the Fock-space Hamiltonian truncation method, which allows to calculate numerically the spectrum of strongly coupled quantum field theories, by putting them in a finite volume and...

The Kashiwara-Vergne Lie algebra krv encodes symmetries of the Kashiwara-Vergne problem on the properties of the Campbell-Hausdorff series. It is conjectures that krv≅Kt⊕grt_1, where t is a...

We identify the trace, or 0th Hochschild homology, of type ADE categorified quantum groups with the corresponding current algebra of the same type. To prove this, we show that 2-representations...

We consider a general class of two-dimensional spin systems, with continuous but not necessarily smooth, possibly long-range, O(N)-symmetric interactions, for which we establish algebraically...