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Proposed as an elegant symmetry relating bosons and fermions, spacetime supersymmetry (SUSY) has been actively pursued in both particle physics and emergent phenomena in quantum critical points (QCP) of topological quantum materials.…

Strongly Correlated Electrons · Physics 2025-11-20 Zhi Zeng , Yin-Kai Yu , Zi-Xiang Li , Shuai Yin

The discovery of supersymmetry (SUSY) via action of the cold dark matter candidate is being led on the indirect collider production front by the LHC, and correspondingly by the XENON100 collaboration on the direct detection front. We…

High Energy Physics - Phenomenology · Physics 2012-12-12 Tianjun Li , James A. Maxin , Dimitri V. Nanopoulos , Joel W. Walker

In the zoo of emergent symmetries in quantum many-body physics, the previously unrealized emergent spacetime supersymmetry (SUSY) is particularly intriguing. Although it was known that spacetime SUSY could emerge at the (1+1)d tricritical…

Quantum Gases · Physics 2024-12-24 Chengshu Li , Shang Liu , Hanteng Wang , Wenjun Zhang , Zi-Xiang Li , Hui Zhai , Yingfei Gu

The quest to explore new techniques for the manipulation of topological states simultaneously promotes a deeper understanding of topological physics, and is essential in identifying new ways to harness their unique features. Here, we…

Taking seriously phenomenological indications for supersymmetry, we have made a detailed study of unified minimal SUSY, including effects at the few percent level in a consistent fashion. We report here a general analysis without choosing a…

High Energy Physics - Phenomenology · Physics 2009-09-15 G. L. Kane , Chris Kolda , Leszek Roszkowski , James D. Wells

Vacuum structures of supersymmetric (SUSY) Yang-Mills theories in $1+1$ dimensions are studied with the spatial direction compactified. SUSY allows only periodic boundary conditions for both fermions and bosons. By using the…

High Energy Physics - Theory · Physics 2016-08-24 Hodaka Oda , Norisuke Sakai , Tadakatsu Sakai

Supersymmetry, a symmetry between fermions and bosons, provides a promising extension of the standard model but is still lack of experimental evidence. Recently, the interest in supersymmetry arises in the condensed matter community owing…

Strongly Correlated Electrons · Physics 2019-08-30 Jiabin Yu , Radu Roiban , Shao-Kai Jian , Chao-Xing Liu

Different ways to incorporate two-dimensional systems, which are not amenable to separation of variables, into the framework of Supersymmetrical Quantum Mechanics (SUSY QM) are analyzed. In particular, the direct generalization of…

High Energy Physics - Theory · Physics 2008-11-26 M. V. Ioffe

Supersymmetry is an algebraic property of a quantum Hamiltonian that, by giving every boson a fermionic superpartner and vice versa, may underpin physics beyond the Standard Model. Fractional bosonic and fermionic quasiparticles are…

Recent results from Higgs boson and supersymmetry searches at the Large Hadron Collider provide strong new motivations for supersymmetric theories with heavy superpartners. We reconsider focus point supersymmetry (FP SUSY), in which all…

High Energy Physics - Phenomenology · Physics 2013-05-30 Jonathan L. Feng , Konstantin T. Matchev , David Sanford

In this letter we propose a method to realize a kind of spin-orbit coupling in ultracold Bose and Fermi gases whose format and strength depend on density of atoms. Our method combines two-photon Raman transition and periodical modulation of…

Quantum Gases · Physics 2021-06-23 Peng Xu , Tianshu Deng , Wei Zheng , Hui Zhai

We study a model of one-dimensional fermionic atoms that can bind in pairs to form bosonic molecules. We show that at low energy, a coherence develops between the molecule and fermion Luttinger liquids. At the same time, a gap opens in the…

Other Condensed Matter · Physics 2007-05-23 R. Citro , E. Orignac

There are at least three physical arguments for some form of supersymmetry, based on experiment and observation, but conventional supersymmetry (SUSY) has not been observed up to surprisingly high experimental limits. Here we consider a…

General Physics · Physics 2025-11-10 Roland E. Allen

Sub-symmetry (SubSy) protected topological states represent a concept that goes beyond the conventional framework of symmetry-protected topological (SPT) phases, demonstrating that topological boundary states can remain robust even when the…

We show that coupling ultracold atoms in optical lattices to quantized modes of an optical cavity leads to quantum phases of matter, which at the same time posses properties of systems with both short- and long-range interactions. This…

Quantum Gases · Physics 2016-07-06 Santiago F. Caballero-Benitez , Gabriel Mazzucchi , Igor B. Mekhov

Searches for supersymmetry (SUSY) models with a compressed mass spectrum are theoretically motivated but also pose experimental challenges. Two recent searches from the CMS Collaboration targeting leptonic final states that can originate…

High Energy Physics - Experiment · Physics 2021-05-20 Emmanouil Vourliotis

Motivated by recent observations from Pamela, Fermi and H.E.S.S., we consider dark matter decays in the framework of supersymmetric SU(5) grand unification theories. An SU(5) singlet S is assumed to be the main component of dark matters,…

High Energy Physics - Phenomenology · Physics 2010-05-12 Mingxing Luo , Liucheng Wang , Wei Wu , Guohuai Zhu

Searches for supersymmetry (SUSY) often rely on a combination of hard physics objects (jets, leptons) along with large missing transverse energy to separate New Physics from Standard Model hard processes. We consider a class of…

High Energy Physics - Phenomenology · Physics 2015-05-28 Daniele S. M. Alves , Jia Liu , Neal Weiner

We present a first-principles approach to electronic many-body systems strongly coupled to cavity modes in terms of matter-photon one-body reduced density matrices. The theory is fundamentally non-perturbative and thus captures not only the…

In these introductory lectures, we review the theoretical tools used in constructing supersymmetric field theories and their application to physical models. We first introduce the technology of two-component spinors, which is convenient for…

High Energy Physics - Phenomenology · Physics 2022-05-20 Howard E. Haber , Laurel Stephenson Haskins