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...

Monday, 1 December, 2014
Maxime Gagnebin, Yvan Velenik

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...

Communications in Mathematical Physics, December 2014, Volume 332, Issue 3
Thursday, 27 November, 2014
Yves Dirian, Stefano Foffa, Martin Kunz, Michele Maggiore, Valeria Pettorino

We study the cosmological predictions of two recently proposed non-local modifications of General Relativity. Both models have the same number of parameters as ΛCDM, with a mass parameter m...

Saturday, 22 November, 2014
Stavros Garoufalidis, Rinat Kashaev

Multi-dimensional state-integrals of products of Faddeev's quantum dilogarithms arise frequently in Quantum Topology, quantum Teichmuller theory and complex Chern--Simons theory. Using the quasi...

Sunday, 16 November, 2014
Anna Beliakova, Christian Blanchet, Eva Contreras

Modular categories are a well-known source of quantum 3-manifold invariants. In this paper we study structures on modular categories which allow to define refinements of quantum 3-manifold...

Monday, 10 November, 2014
Anton Khoroshkin, Thomas Willwacher, Marko Živković

We study the cohomology of complexes of ordinary (non-decorated) graphs, introduced by M. Kontsevich. We construct spectral sequences converging to zero whose first page contains the graph...

Thursday, 6 November, 2014
G. Oberdieck, R. Pandharipande

Let S be a nonsingular projective K3 surface. Motivated by the study of the Gromov-Witten theory of the Hilbert scheme of points of S, we conjecture a formula for the Gromov-Witten theory (in...

Tuesday, 4 November, 2014
R. Pandharipande, R. P. Thomas

The Katz-Klemm-Vafa conjecture expresses the Gromov-Witten theory of K3 surfaces (and K3-fibred 3-folds in fibre classes) in terms of modular forms. Its recent proof gives the first non-toric...

Tuesday, 4 November, 2014
Niels Benedikter, Vojkan Jaksic, Marcello Porta, Chiara Saffirio, Benjamin Schlein

In this paper we study the dynamics of fermionic mixed states in the mean-field regime. We consider initial states which are close to quasi-free states and prove that, under suitable assumptions...

Tuesday, 28 October, 2014
Alba Grassi, Yasuyuki Hatsuda, Marcos Mariño

The partition function of ABJ(M) theories on the three-sphere can be regarded as the canonical partition function of an ideal Fermi gas with a non-trivial Hamiltonian. We propose an exact...