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...

Wednesday, 15 October, 2014
Anton Alekseev, Maria Podkopaeva, Andras Szenes

In this paper, we give a symplectic proof of the Horn inequalities on eigenvalues of a sum of two Hermitian matrices with given spectra. Our method is a combination of tropical calculus for...

Tuesday, 14 October, 2014
Stéphane Benoist, Hugo Duminil-Copin, Clément Hongler

We prove that crossing probabilities for the critical planar Ising model with free boundary conditions are conformally invariant in the scaling limit, a phenomenon first investigated numerically...

Monday, 13 October, 2014
Alba Grassi, Yasuyuki Hatsuda, Marcos Mariño

In this paper, we propose a general correspondence which associates a non-perturbative quantum-mechanical operator to a toric Calabi-Yau manifold, and we conjecture an explicit formula for its...

Tuesday, 30 September, 2014
Yuri Berest, Giovanni Felder, Sasha Patotski, Ajay C. Ramadoss, Thomas Willwacher

We study the derived representation scheme DRep_n(A) parametrizing the n-dimensional representations of an associative algebra A over a field of characteristic zero. We show that the homology of...

Thursday, 18 September, 2014
Hugo Duminil-Copin, Dmitry Ioffe, Yvan Velenik

We consider translationally-invariant percolation models on Z^d satisfying the finite energy and the FKG properties. We provide explicit upper bounds on the probability of having two distinct...

Friday, 12 September, 2014
Hugo Duminil-Copin, Ioan Manolescu

We prove that random-cluster models with q larger than 1 on a variety of planar lattices have a sharp phase transition, that is that there exists some parameter p_c below which the model...

Monday, 8 September, 2014
Rahul Pandharipande, Jake P. Solomon, Ran J. Tessler

We define a theory of descendent integration on the moduli spaces of stable pointed disks. The descendent integrals are proved to be coefficients of the τ-function of an open KdV heirarchy. A...

Saturday, 6 September, 2014
Leonardo Aguirre, Giovanni Felder, Alexander P. Veselov

Gaudin hamiltonians form families of r-dimensional abelian Lie subalgebras of the holonomy Lie algebra of the arrangement of reflection hyperplanes of a Coxeter group of rank r. We consider the...

Friday, 5 September, 2014
Santiago Codesido, Alba Grassi, Marcos Mariño

In this paper, we show that, in ABJ(M) theories with N=8 supersymmetry, the non-perturbative sector of the partition function on the three-sphere simplifies drastically. Due to this...

Thursday, 4 September, 2014
Matthijs Hogervorst, Slava Rychkov, Balt van Rees

We show how to perform accurate, nonperturbative and controlled calculations in quantum field theory in d dimensions. We use the Truncated Conformal Space Approach (TCSA), a Hamiltonian...

Wednesday, 3 September, 2014
Jørgen Ellegaard Andersen, Rinat Kashaev

We lay down a general framework for how to construct a Topological Quantum Field Theory $Z_A$ defined on shaped triangulations of orientable 3-manifolds from any Pontryagin self-dual locally...