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The lecture note consists of four parts. In the first part, we review a 2+1 dimensional lattice model which realizes emergent supersymmetry at a quantum critical point. The second part is devoted to a phenomenon called fractionalization…

High Energy Physics - Theory · Physics 2010-12-17 Sung-Sik Lee

This is a compact overview of Higgs sectors in extensions of the MSSM. The focus is on the summary of the main features of models with additional singlets and triplets as well as of models with Dirac gauginos. In addition, also important…

High Energy Physics - Phenomenology · Physics 2014-10-29 Florian Staub

We explore a hidden possibility of BRST approach to higher spin field theory to obtain a consistent Lagrangian for massive spin-3/2 field in Einstein space. Also, we prove that in the space under consideration the propagation of spin-3/2…

High Energy Physics - Theory · Physics 2014-11-20 I. L. Buchbinder , V. A. Krykhtin

A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their connections with String Theory. We start with the…

High Energy Physics - Theory · Physics 2016-04-19 Rakibur Rahman , Massimo Taronna

These lectures from the TASI 2012 summer school outline the basics of supersymmetry (SUSY) in 3+1 dimensions. Starting from a ground-up development of superspace, we develop all of the tools necessary to construct SUSY lagrangians. While…

High Energy Physics - Phenomenology · Physics 2022-09-09 Daniele Bertolini , Jesse Thaler , Zoe Thomas

We provide evidence that a particular hidden supersymmetry, when combined with half-maximal deformed global supersymmetry, implies that the theory is invariant under duality rotations of the vector and spinor fields. Based on a complete 8+8…

High Energy Physics - Theory · Physics 2013-03-25 John Joseph M. Carrasco , Renata Kallosh

Noscale supersymmetry (SUSY) breaking model is investigated in the minimal extension of the minimal supersymmetric standard model (MSSM) with a gauged U(1)_{B-L} symmetry. We specifically consider a unification-inspired model with the gauge…

High Energy Physics - Phenomenology · Physics 2009-11-07 Masaaki Fujii , Koshiro Suzuki

The proposal of hep-ph/0601236, that the laws of physics in flat spacetime need be invariant only under a SIM(2) subgroup of the Lorentz group, is extended to include supersymmetry. $\mathcal{N}=1$ SUSY gauge theories which include SIM(2)…

High Energy Physics - Theory · Physics 2009-10-08 Andrew G. Cohen , Daniel Z. Freedman

We present a new massive theory of superspin Y=3/2 which has non-minimal supergravity as it's massless limit. The new result will illuminate the underlying structure of auxiliary fields required for the description of arbitrary massive…

High Energy Physics - Theory · Physics 2013-10-29 S. James Gates, , Konstantinos Koutrolikos

As a mathematical model of high-speed flow and shock wave propagation in a complex multimaterial setting, Lagrangian hydrodynamics is characterized by moving meshes, advection-dominated solutions, and moving shock fronts with sharp…

Numerical Analysis · Mathematics 2021-11-24 Dylan Matthew Copeland , Siu Wun Cheung , Kevin Huynh , Youngsoo Choi

Supersymmetry (SUSY) of Hamiltonian dictates double degeneracy between a pair of superpartners (SPs) transformed by supercharge, except at zero energy where modes remain unpaired in many cases. Here we explore a SUSY of complete isospectrum…

Mesoscale and Nanoscale Physics · Physics 2024-09-19 Dawei Zhai , Zuzhang Lin , Wang Yao

We discuss gravitational backgrounds where supersymmetry is broken at the end of a warped throat, and the SUSY-breaking is transmitted to the Standard Model via gauginos which live in (part of) the bulk of the throat geometry. We find that…

High Energy Physics - Theory · Physics 2009-12-15 Francesco Benini , Anatoly Dymarsky , Sebastian Franco , Shamit Kachru , Dusan Simic , Herman Verlinde

We consider viscous two-dimensional steady flows of incompressible fluids past doubly periodic arrays of solid obstacles. In a class of such flows, the autocorrelations for the Lagrangian observables decay in accordance with the power law,…

Statistical Mechanics · Physics 2007-05-23 Michael A. Zaks , Arthur V. Straube

We show that the equations of motion for (free) integer higher spin gauge fields can be formulated as twisted self-duality conditions on the higher spin curvatures of the spin-$s$ field and its dual. We focus on the case of four spacetime…

High Energy Physics - Theory · Physics 2018-02-02 Marc Henneaux , Sergio Hörtner , Amaury Leonard

Optical traps and lattices provide a new opportunity to study strongly correlated high spin systems with cold atoms. In this article, we review the recent progress on the hidden symmetry properties in the simplest high spin fermionic…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu

We present a Lagrangian description of the $SU(2)/U(1)$ coset model perturbed by its first thermal operator. This is the simplest perturbation that changes sign under Krammers--Wannier duality. The resulting theory, which is a 2--component…

High Energy Physics - Theory · Physics 2015-06-26 I. Bakas

Within the framework of second order derivative (one dimensional) SUSYQM we discuss particular realizations which incorporate large energy shifts between the lowest states of the spectrum of the superhamiltonian (of Schr\"odinger type). The…

High Energy Physics - Theory · Physics 2015-06-26 A. A. Andrianov , F. Cannata , M. V. Ioffe

We discuss the problem of consistent description of higher spin massive fields coupled to external gravity. As an example we consider massive field of spin 2 in arbitrary gravitational field. Consistency requires the theory to have the same…

High Energy Physics - Theory · Physics 2017-08-23 I. L. Buchbinder , V. D. Pershin

We suggest a natural split mechanism for sfermions based on $N$=2 supersymmetry (SUSY). $N$=2 SUSY protects a sfermion in an $N$=2 multiplet from gaining weight by SUSY breaking. Therefore, if partly $N$=2 SUSY is effectively obtained, a…

High Energy Physics - Phenomenology · Physics 2016-01-21 Yasuhiro Shimizu , Wen Yin

We use a semiclassical approach to study out of equilibrium dynamics and transport in quantum systems with massive quasiparticle excitations having internal quantum numbers. In the universal limit of low energy quasiparticles, the system is…

Statistical Mechanics · Physics 2019-03-20 Márton Kormos , Catalin Pascu Moca , Gergely Zaránd