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We construct examples of non-invertible global symmetries in two-dimensional superconformal field theories described by sigma models into Calabi-Yau target spaces. Our construction provides some of the first examples of non-invertible…

High Energy Physics - Theory · Physics 2025-01-16 Clay Cordova , Giovanni Rizi

String theory has no parameter except the string scale $M_S$, so the Planck scale $M_\text{Pl}$, the supersymmetry-breaking scale, the EW scale $m_\text{EW}$ as well as the vacuum energy density (cosmological constant) $\Lambda$ are to be…

High Energy Physics - Theory · Physics 2021-01-25 Yu-Cheng Qiu , S. -H. Henry Tye

We construct a class of matrix models, where supersymmetry (SUSY) is spontaneously broken at the matrix size $N$ infinite. The models are obtained by dimensional reduction of matrix-valued SUSY quantum mechanics. The potential of the models…

High Energy Physics - Theory · Physics 2015-05-14 Tsunehide Kuroki , Fumihiko Sugino

We consider a RG flow in certain 2D coset models perturbed by the least relevant field. In the case of the symmetric su(2) coset model we show, up to second order of the perturbation theory, that there exists a nontrivial IR fixed point.We…

High Energy Physics - Theory · Physics 2018-11-21 Marian Stanishkov

We study aspects of Wess-Zumino models related to SUSY and R-symmetry breaking at tree-level. We present a recipe for constructing a wide class of tree-level SUSY and R-breaking models. We also deduce a general property shared by all…

High Energy Physics - Theory · Physics 2009-05-01 Zohar Komargodski , David Shih

We review the subject of spontaneous supersymmetry breaking. First we consider supersymmetry breaking in a semiclassical theory. We illustrate it with several examples, demonstrating different phenomena, including metastable supersymmetry…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenneth Intriligator , Nathan Seiberg

We study superstring theory in three dimensional Anti-de Sitter spacetime with NS-NS flux, focusing on the case where the radius of curvature is equal to the string length. This corresponds to the critical level k=1 in the…

High Energy Physics - Theory · Physics 2018-09-26 G. Giribet , C. Hull , M. Kleban , M. Porrati , E. Rabinovici

We investigate the differential geometry of the moduli space of instantons on S^3 x S^1. Extending previous results, we show that a sigma-model with this target space can be expected to possess a large N=4 superconformal symmetry,…

High Energy Physics - Theory · Physics 2024-12-23 Edward Witten

We clarify the supersymmetry structure of ADHM instanton linear sigma models, $N=4$ superconformal algebras and superconformal field theories dual to superstrings moving in $AdS_3$ backgrounds in view of some of our recent findings in…

High Energy Physics - Theory · Physics 2025-08-26 Abbas Ali , Mohsin Ilahi , P. P. Abdul Salih , Shafeeq Rahman Thottoli

If supersymmetry turns out to be a symmetry of nature at low energies, the first order of business to measure the soft breaking parameters. But one will also want to understand the symmetry, and its breaking, more microscopically. Two…

High Energy Physics - Theory · Physics 2017-08-23 Michael Dine

We analyze the $\mathcal{N}=1$ supersymmetric Wess-Zumino model dimensionally reduced to the $\mathcal{N}=2$ supersymmetric model in three Euclidean dimensions. As in the original model in four dimensions and the $\mathcal{N}=(2,2)$ model…

High Energy Physics - Theory · Physics 2018-11-21 Polina Feldmann , Andreas Wipf , Luca Zambelli

We discuss the phenomenology of supersymmetric models in which supersymmetry breaking terms are induced by the super-Weyl anomaly. Such a scenario is envisioned to arise when supersymmetry breaking takes place in another world, i.e., on…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jonathan L. Feng , Takeo Moroi

We consider a class of simplified models of dynamical electroweak symmetry breaking built in terms of their five-dimensional weakly-coupled gravity duals, in the spirit of bottom-up holography. The sigma-model consists of two abelian gauge…

High Energy Physics - Phenomenology · Physics 2015-12-09 Daniel Elander , Robert Lawrance , Maurizio Piai

We explicitly compute nonperturbative effects in a supersymmetric double-well matrix model corresponding to two-dimensional type IIA superstring theory on a nontrivial Ramond-Ramond background. We analytically determine the full…

High Energy Physics - Theory · Physics 2015-06-16 Michael G. Endres , Tsunehide Kuroki , Fumihiko Sugino , Hiroshi Suzuki

We prove that the Wess-Zumino model breaks supersymmetry in the low-energy limit. The mechanism is identical to the breaking of chiral symmetry in quantum chromodynamics as the low-energy limit is a Nambu-Jona-Lasinio model and the gap…

High Energy Physics - Theory · Physics 2012-11-07 Marco Frasca

We study the superspace formulation of the noncommutative nonlinear supersymmetric O(N) invariant sigma-model in 2+1 dimensions. We prove that the model is renormalizable to all orders of 1/N and explicitly verify that the model is…

High Energy Physics - Theory · Physics 2009-11-07 H. O. Girotti , M. Gomes , A. Yu. Petrov , V. O. Rivelles , A. J. da Silva

We construct a simple N=(0,2) deformation of the two-dimensional Wess-Zumino model. In addition to superpotential, it includes a "twisted" superpotential. Supersymmetry may or may not be spontaneously broken at the classical level. In the…

High Energy Physics - Theory · Physics 2014-11-20 M. Shifman , A. Yung

We present a detailed study of quantized noncompact, nonlinear SO(1,N) sigma-models in arbitrary space-time dimensions D \geq 2, with the focus on issues of spontaneous symmetry breaking of boost and rotation elements of the symmetry group.…

High Energy Physics - Theory · Physics 2010-11-05 A. Duncan , M. Niedermaier , E. Seiler

We examine the problem of supersymmetry breaking in realistic superstring standard--like models which are constructed in the free fermionic formulation. We impose a supersymmetric vacuum at the Planck scale by requiring vanishing F and D…

High Energy Physics - Phenomenology · Physics 2011-07-19 Alon E. Faraggi , Edi Halyo

The Hilbert spaces of supersymmetric systems admit symmetries which are often related to the topology and geometry of the (target) field-space. Here, we study certain (2,2)-supersymmetric systems in 2-dimensional spacetime which are closely…

High Energy Physics - Theory · Physics 2009-10-31 Tristan Hubsch
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