Laurent Bétermin
Laurent Bétermin
We consider interaction energies E f [ L ] between a point O ∈ R d , d ≥ 2 , and a lattice L containing O, where the interaction potential f is assumed to be radially symmetric and decaying sufficiently fast at infinity. W...
Michele Del Zotto,Kantaro Ohmori
Michele Del Zotto
We determine the 2-group structure constants for all the six-dimensional little string theories (LSTs) geometrically engineered in F-theory without frozen singularities. We use this result as a consistency check for T-duality: the 2-groups ...
Marco Falconi,Emanuela L Giacomelli,Christian Hainzl et al.
Marco Falconi et al.
We study the ground state properties of interacting Fermi gases in the dilute regime, in three dimensions. We compute the ground state energy of the system, for positive interaction potentials. We recover a well-known expression for the gro...
Spectral Properties of Schrödinger Operators Associated with Almost Minimal Substitution Systems [0.03%]
与几乎极小的代换系统相关的薛定谔算子的谱性质
Benjamin Eichinger,Philipp Gohlke
Benjamin Eichinger
We study the spectral properties of ergodic Schrödinger operators that are associated with a certain family of non-primitive substitutions on a binary alphabet. The corresponding subshifts provide examples of dynamical systems that go beyo...
Jonathan Eckhardt,Aleksey Kostenko
Jonathan Eckhardt
We investigate absolutely continuous spectrum of generalized indefinite strings. By following an approach of Deift and Killip, we establish stability of the absolutely continuous spectra of two model examples of generalized indefinite strin...
Bose-Einstein Condensation Beyond the Gross-Pitaevskii Regime [0.03%]
超越格罗斯-皮塔耶夫斯基 regime 的玻色-爱因斯坦凝聚体
Arka Adhikari,Christian Brennecke,Benjamin Schlein
Arka Adhikari
We consider N bosons in a box with volume one, interacting through a two-body potential with scattering length of the order N - 1 + κ , for κ > 0 . Assuming that κ ∈ ( 0 ; 1 / 43 ) , we show that low-energy states e...
Charles Hadfield,Santosh Kandel,Michele Schiavina
Charles Hadfield
We propose a field-theoretic interpretation of Ruelle zeta function and show how it can be seen as the partition function for BF theory when an unusual gauge-fixing condition on contact manifolds is imposed. This suggests an alternative rep...
Rinat Kashaev,Sergey Sergeev
Rinat Kashaev
We address the spectral problem of the formally normal quantum mechanical operator associated with the quantised mirror curve of the toric (almost) del Pezzo Calabi-Yau threefold called local P 2 in the case of complex values of Planck's ...
Giovanni Antinucci,Luca Fresta,Marcello Porta
Giovanni Antinucci
In this paper, we study a hierarchical supersymmetric model for a class of gapless, three-dimensional, weakly disordered quantum systems, displaying pointlike Fermi surface and conical intersections of the energy bands in the absence of dis...
Dimerization and Néel Order in Different Quantum Spin Chains Through a Shared Loop Representation [0.03%]
通过共享的循环表示研究不同量子自旋链中的二聚化和奈尔秩序
Michael Aizenman,Hugo Duminil-Copin,Simone Warzel
Michael Aizenman
The ground-states of the spin-S antiferromagnetic chain H AF with a projection-based interaction and the spin-1/2 XXZ-chain H XXZ at anisotropy parameter Δ = cosh ( λ ) share a common loop representation in terms of a two-dimen...