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The spectrum of the $D=4$ supersymmetric Yang-Mills quantum mechanics with $SU(3)$ gauge group symmetry is computed in different channels with definite total angular momentum and the total number of fermions. In sectors with small number of…

High Energy Physics - Theory · Physics 2014-09-29 Zbigniew Ambrozinski

The notion of hidden symmetry algebra used in the context of exactly solvable systems is re-examined from the purely algebraic way, analyzing subspaces of commuting polynomials that generate finite-dimensional quadratic algebras. By…

Mathematical Physics · Physics 2021-10-01 Rutwig Campoamor-Stursberg , Ian Marquette

Here I briefly discuss why supersymmetry is considered a leading candidate of physics beyond the standard model. I also highlight the salient features of different supersymmetry breaking models. A few other symmetries, broken or intact,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gautam Bhattacharyya

We introduce novel extensions of the Standard Model featuring a supersymmetric technicolor sector. First we consider N=4 Super Yang-Mills which breaks to N=1 via the electroweak (EW) interactions and coupling to the MSSM. This is a well…

High Energy Physics - Phenomenology · Physics 2015-05-14 M. Antola , S. Di Chiara , F. Sannino , K. Tuominen

We show that supersymmetric "Dark Force" models with gravity mediation are viable. To this end, we analyse a simple string-inspired supersymmetric hidden sector model that interacts with the visible sector via kinetic mixing of a light…

High Energy Physics - Phenomenology · Physics 2013-01-22 S. Andreas , M. D. Goodsell , A. Ringwald

We implement the asymmetric dark matter framework, linking the ordinary and dark matter abundances, within a supersymmetric context. We consider a supersymmetric model that respects an approximate $U(1)_R$ symmetry, which is broken in such…

High Energy Physics - Phenomenology · Physics 2025-02-13 Marco Ardu , Daniel Queiroz Correa , Oscar Vives

The Ten dimensional Unified field theory has a 4 dimensional Riemannian spacetime and six dimensional Calabi Yau space structure. The supersymmetric Yang Mills fields and black holes are solutions in these theories. The formation of…

General Physics · Physics 2007-05-23 Ajay Patwardhan

The superconformal index of ${\cal N}=4$ supersymmetric Yang-Mills theory with gauge group $\mathrm{U}(N)$ has provided powerful insights into the entropy of supersymmetric black holes in AdS$_5\times S^5$, including some sub-leading…

High Energy Physics - Theory · Physics 2025-02-13 Evan Deddo , Leopoldo A. Pando Zayas , Wenjie Zhou

Supersymmetry is one of the best-motivated candidates for physics beyond the Standard Model that might be discovered at the LHC. There are many reasons to expect that it may appear at the TeV scale, in particular because it provides a…

High Energy Physics - Phenomenology · Physics 2009-02-18 John Ellis

Supersymmetry is deeply related to division algebras. Nonabelian Yang-Mills fields minimally coupled to massless spinors are supersymmetric if and only if the dimension of spacetime is 3, 4, 6 or 10. The same is true for the Green-Schwarz…

High Energy Physics - Theory · Physics 2016-05-04 John C. Baez , John Huerta

Hidden sectors in connection with GeV-scale dark forces and dark matter are not only a common feature of physics beyond the Standard Model such as string theory and SUSY but are also phenomenologically of great interest regarding recent…

High Energy Physics - Phenomenology · Physics 2012-11-22 Sarah Andreas

It is generally believed that weak scale supersymmetry implies weak scale supergravity, in the sense that the masses of the gravitino and gravitationally coupled moduli have masses below 100 TeV. This paper presents a realistic framework…

High Energy Physics - Theory · Physics 2009-11-07 Markus A. Luty

Discretization of supersymmetric theories is an old problem in lattice field theory. It has resisted solution until quite recently when new ideas drawn from orbifold constructions and topological field theory have been brought to bear on…

High Energy Physics - Lattice · Physics 2010-06-07 Simon Catterall

Supersymmetry broken geometrically in extra dimensions naturally leads to a nearly degenerate spectrum for superparticles, ameliorating the bounds from the current searches at the LHC. We present a minimal such model with a single extra…

High Energy Physics - Phenomenology · Physics 2015-03-20 Hitoshi Murayama , Yasunori Nomura , Satoshi Shirai , Kohsaku Tobioka

Supersymmetry is one of the most important and indispensable ingredients of modern theoretical physics. However, the absence, at least at the time of publishing this review, of experimental verification of supersymmetry in elementary…

High Energy Physics - Theory · Physics 2025-07-04 V. P. Berezovoj , A. J. Nurmagambetov

We present the explicit superfield realizations of the hidden $SU(4)$ and $O(5)$ $R$-symmetries in $4D, {\cal N}=4$ and $5D, {\cal N}=2$ supersymmetric Yang-Mills theories in the harmonic superspace approach. The $R$-symmetry…

High Energy Physics - Theory · Physics 2020-05-20 I. L. Buchbinder , E. A. Ivanov , V. A. Ivanovskiy

We calculate and explore the moduli potential for M-Theory compactified on G_2-manifolds in which the superpotential is dominated by a single membrane instanton term plus one from an asymptotically free hidden sector gauge interaction. We…

High Energy Physics - Theory · Physics 2011-06-08 Bobby Samir Acharya , Mahdi Torabian

Noncommutative geometry has seen remarkable applications for high energy physics, viz. the geometrical interpretation of the Standard Model. The question whether it also allows for supersymmetric theories has so far not been answered in a…

High Energy Physics - Theory · Physics 2014-09-23 Wim Beenakker , Walter D. van Suijlekom , Thijs van den Broek

Physical mass spectra of supersymmetric Yang-Mills theories in 1+1 dimensions are evaluated in the light-cone gauge with a compact spatial dimension. The supercharges are constructed and the infrared regularization is unambiguously…

High Energy Physics - Theory · Physics 2010-11-01 Yoichiro Matsumura , Norisuke Sakai , Tadakatsu Sakai

The Standard Model (SM) of particle physics provides a very successful description of fundamental particles and their interactions but it is incomplete, as neutrino masses, dark matter and the baryon asymmetry of the Universe indicate. In…