Thursday, 15 January, 2015
Rafe Mazzeo, Álvaro Pelayo, Tudor S. Ratiu

A classical theorem of Frankel for compact Kähler manifolds states that a Kähler S^1-action is Hamiltonian if and only if it has fixed points. We prove a metatheorem which says that when the...

Journal of Geometry and Physics, Volume 87, January 2015, Pages 305–313
Monday, 5 January, 2015
Rinat Kashaev, Marcos Mariño

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,...

Thursday, 1 January, 2015
T. S. Ratiu, O. G. Smolyanov

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...

Doklady Mathematics, Jan 2015, Volume 91, Issue 1, pp 114-116
Monday, 29 December, 2014
Hugo Duminil-Copin, Ron Peled, Wojciech Samotij, Yinon Spinka

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...

Monday, 22 December, 2014
Kevin Ferreira, Matthias R. Gaberdiel

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

Thursday, 18 December, 2014
Ruth Durrer, Elena Sellentin

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...

Thursday, 18 December, 2014
Giulia Cusin, Ruth Durrer, Pietro Guarato, Mariele Motta

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...

Monday, 15 December, 2014
Grigory Mikhalkin

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...

Thursday, 11 December, 2014
Ricardo Campos, Thomas Willwacher

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...

Wednesday, 10 December, 2014
Slava Rychkov, Lorenzo G. Vitale

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...

Wednesday, 10 December, 2014
Anton Alekseev, Anna Lachowska, Elise Raphael

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...

Wednesday, 3 December, 2014
Anna Beliakova, Kazuo Habiro, Aaron D. Lauda, Ben Webster

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...