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The zero-temperature phase diagrams of imbalanced fermions in 3D optical lattices are investigated to evaluate the validity of the Fermi-Hubbard model. It is found that depending on the filling factor, s-wave scattering strength and lattice…

Quantum Gases · Physics 2009-05-25 Xiaoling Cui , Yupeng Wang

In this paper, the fractional integral operator on non-homogeneous metric measure spaces is introduced, which contains the classic fractional integral operator, fractional integral with non-doubling measures and fractional integral with…

Functional Analysis · Mathematics 2013-09-27 Rulong Xie , Lisheng Shu

We investigate the holographic correspondence between (p+1)-dimensional ($0\le p\le 4$) SYM theories with 16 supercharges and superstring theories on the near-horizon limit of Dp-brane backgrounds. Following an approach based on the…

High Energy Physics - Theory · Physics 2009-11-10 Masako Asano , Yasuhiro Sekino

We propose a regularized lattice model for quantum gravity purely formulated in terms of fermions. The lattice action exhibits local Lorentz symmetry, and the continuum limit is invariant under general coordinate transformations. The metric…

High Energy Physics - Theory · Physics 2015-05-30 C. Wetterich

A five dimensional model containing both left-right and quark-lepton symmetries is constructed, with the gauge group broken by a combination of orbifold compactification and the Higgs mechanism. An analysis of the gauge and scalar sectors…

High Energy Physics - Phenomenology · Physics 2008-11-26 Andrew Coulthurst , Jason Doukas , Kristian L. McDonald

We propose to describe bulk wave functions of fractional quantum Hall states in terms of correlators of non-unitary b/c-spin systems. These yield a promising conformal field theory analogon of the composite fermion picture of Jain.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michael Flohr , Klaus Osterloh

We study the time dependent Schr\"odinger equation for large spinless fermions with the semiclassical scale $\hbar = N^{-1/3}$ in three dimensions. By using the Husimi measure defined by coherent states, we rewrite the Schr\"odinger…

Mathematical Physics · Physics 2022-05-09 Li Chen , Jinyeop Lee , Matthew Liew

Continuing the work arXiv:1504.05991, we discuss various aspects of three dimensional quantum gravity partition function in AdS in the semi-classical limit. The partition function is holomorphic and is the one which we obtained by using the…

High Energy Physics - Theory · Physics 2016-03-23 Masazumi Honda , Norihiro Iizuka , Akinori Tanaka , Seiji Terashima

We study the properties of half-supersymmetric branes in string theory with 32 supercharges from a purely group-theoretical point of view using the U-duality symmetry of maximal supergravity and the R-symmetry of the corresponding…

High Energy Physics - Theory · Physics 2015-06-15 Eric A. Bergshoeff , Fabio Riccioni , Luca Romano

We construct an ${\cal N}{=}\,2$ supersymmetric extension of $n$-particle Ruijsenaars-Schneider models. The guiding feature is a deformation of the phase space. The supercharges have a "free" form linear in the fermions but produce an…

High Energy Physics - Theory · Physics 2020-06-10 Sergey Krivonos , Olaf Lechtenfeld

We consider BPS-counting functions $\mathcal{Z}_{N,M}$ of $N$ parallel M5-branes probing a transverse $\mathbb{Z}_M$ orbifold geometry. These brane web configurations can be dualised into a class of toric non-compact Calabi-Yau threefolds…

High Energy Physics - Theory · Physics 2018-01-17 Brice Bastian , Stefan Hohenegger

We show that the supersymmetric partition function of three-dimensional N=2 R-symmetric Chern-Simons-matter theories on the squashed S^3 and on S^2 x S^1 can be computed with the so-called Higgs branch localization method, alternative to…

High Energy Physics - Theory · Physics 2014-11-04 Francesco Benini , Wolfger Peelaers

We present a unified, ultraviolet-finite framework for the full Standard Model particle mass spectrum based on the Holomorphic Unified Field Theory augmented by nonlocal entire-function regulators. Starting from a single holomorphic action…

High Energy Physics - Phenomenology · Physics 2026-03-30 J. W. Moffat , E. J. Thompson

An algebraic approach is formulated in the harmonic approximation to describe a dynamics of two-fermion systems, confined in three-dimensional axially symmetric parabolic potential, in an external magnetic field. The fermion interaction is…

Mathematical Physics · Physics 2013-07-30 M. Cerkaski , R. G. Nazmitdinov

We study a simple model of three-dimensional fermions close to a quadratic band touching point, built from the celebrated Luttinger single-particle Hamiltonian and an attractive contact interaction between the particles. Such a system…

Strongly Correlated Electrons · Physics 2016-05-31 Igor Boettcher , Igor F. Herbut

We present a N-dimensional quantization a la Berezin-Klauder or frame quantization of the complex plane based on overcomplete families of states (coherent states) generated by the N first harmonic oscillator eigenstates. The spectra of…

Quantum Physics · Physics 2011-11-09 Jean-Pierre Gazeau , François-Xavier Josse-Michaux , Pascal Monceau

We use holography to compute spectral functions of certain fermionic operators in three different finite-density, zero-temperature states of ABJM theory with a broken U(1) symmetry. In each of the three states, dual to previously studied…

High Energy Physics - Theory · Physics 2017-04-12 Oliver DeWolfe , Steven S. Gubser , Oscar Henriksson , Christopher Rosen

We consider weighted harmonic Bergman spaces on upper half-space with weights depending only on the vertical coordinate. In these settings, we give full asymptotic expansion of weighted harmonic Bergman kernel as well as full asymptotic…

Complex Variables · Mathematics 2023-12-15 Jaroslav Bradík

Some spontaneously broken gauge theories with left couplings to fermions, like the abelian model that we propose here, can be endowed with a composite scalar sector and Wess-Zumino field ; their quantization in the functionnal integral…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Machet

We construct normalizable, semi-classical states for the previously proposed model of quantum gravity which is formulated as a spectral triple over holonomy loops. The semi-classical limit of the spectral triple gives the Dirac Hamiltonian…

High Energy Physics - Theory · Physics 2011-03-02 Johannes Aastrup , Jesper M. Grimstrup , Mario Paschke , Ryszard Nest