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In {\cal N} = 2 superconformal three-dimensional field theory the R-symmetry is determined by locally maximizing the free energy F on the three-sphere. Using F-maximization, we study the {\cal N} = 2 supersymmetric U(N_c) gauge theory…

High Energy Physics - Theory · Physics 2015-06-12 Benjamin R. Safdi , Igor R. Klebanov , Jeongseog Lee

We introduce a three-dimensional quantum field theory with an infinite-dimensional symmetry, realized explicitly through a centrally extended affine graded Lie algebra. This symmetry is a direct three-dimensional generalization of the…

High Energy Physics - Theory · Physics 2026-05-04 Hank Chen , Joaquin Liniado

Non-relativistic conformal field theory is significant to understand various aspects of an ultra-cold system. In this paper, we study a non-relativistic system of two-component fermions interacting with a complex boson with Yukawa-like…

High Energy Physics - Theory · Physics 2023-07-26 Rajesh Kumar Gupta , Meenu

We consider the $O(N)^3$ tensor model of Klebanov and Tarnopolsky \cite{Klebanov:2016xxf} in $d<4$ with a free covariance modified to fit the infrared conformal scaling. We study the renormalization group flow of the model using a Wilsonian…

High Energy Physics - Theory · Physics 2019-06-17 Dario Benedetti , Razvan Gurau , Sabine Harribey

A general field-theoretical description of many-fermion systems, with or without quenched disorder, is developed. Starting from the Grassmannian action for interacting fermions, we first bosonize the theory by introducing composite matrix…

Strongly Correlated Electrons · Physics 2014-10-13 D. Belitz , T. R. Kirkpatrick

Conformal field theories have been long known to describe the fascinating universal physics of scale invariant critical points. They describe continuous phase transitions in fluids, magnets, and numerous other materials, while at the same…

High Energy Physics - Theory · Physics 2019-04-18 David Poland , Slava Rychkov , Alessandro Vichi

We compute the running of the coupling in SU(2) gauge theory with six fermions in fundamental representation of the gauge group. We establish an infrared stable fixed point at strong coupling and measure also the anomalous dimension of the…

High Energy Physics - Lattice · Physics 2018-11-30 Viljami Leino , Kari Rummukainen , Joni M. Suorsa , Kimmo Tuominen , Sara Tähtinen

We consider the possibility that some supersymmetric gauge theories which are not asymptotically free can be governed by ultraviolet-stable fixed points. If this scenario can be realized, gaugino masses will exhibit power-law running with…

High Energy Physics - Phenomenology · Physics 2014-11-17 Stephen P. Martin , James D. Wells

We study supersymmetry breaking in metastable vacua on the Coulomb branch of perturbed N=2 gauge theories, with gauge group SU(2) and different matter content (N_f=0,2,4). The theory is deformed with a superpotential which is a cubic…

High Energy Physics - Theory · Physics 2014-11-21 Roberto Auzzi , Eliezer Rabinovici

Enhancement of global symmetry and supersymmetry in the infrared is one of the most intriguing phenomena in quantum field theory. We investigate such phenomena in a large class of three dimensional superconformal field theories, known as…

High Energy Physics - Theory · Physics 2019-09-04 Ivan Garozzo , Gabriele Lo Monaco , Noppadol Mekareeya , Matteo Sacchi

Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories. We study mixed anomalies involving discrete…

High Energy Physics - Theory · Physics 2023-02-08 Noppadol Mekareeya , Matteo Sacchi

We report new results on the conformal properties of an important strongly coupled gauge theory, a building block of composite Higgs models beyond the Standard Model. With twelve massless fermions in the fundamental representation of the…

High Energy Physics - Lattice · Physics 2016-11-22 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

We conjecture infrared emergent $\mathcal{N}=4$ supersymmetry for a class of three-dimensional $\mathcal{N}=2$ $U(1)$ gauge theories coupled with a single chiral multiplet. One example is the case where $U(1)$ gauge group has the…

High Energy Physics - Theory · Physics 2019-03-22 Dongmin Gang , Masahito Yamazaki

We study the structure of the moduli spaces of vacua and superpotentials of N=2 supersymmetric gauge theories in three dimensions. By analyzing the instanton corrections, we compute the exact superpotentials and determine the quantum…

High Energy Physics - Theory · Physics 2009-09-29 Jan de Boer , Kentaro Hori , Yaron Oz

We study the scenario that conformal dynamics leads to metastable supersymmetry breaking vacua. At a high energy scale, the superpotential is not R-symmetric, and has a supersymmetric minimum. However, conformal dynamics suppresses several…

High Energy Physics - Phenomenology · Physics 2009-02-02 Yuji Omura

We study the scenario that conformal dynamics leads to metastable supersymmetry breaking vacua. At a high energy scale, the superpotential is not R-symmetric, and has a supersymmetric minimum. However, conformal dynamics suppresses several…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hiroyuki Abe , Tatsuo Kobayashi , Yuji Omura

In large part, the future utility of modern numerical conformal bootstrap depends on its ability to accurately predict the existence of hitherto unknown non-trivial conformal field theories (CFTs). Here we investigate the extent to which…

High Energy Physics - Theory · Physics 2021-03-31 Matthew T. Dowens , Chris A. Hooley

We consider supersymmetric theories where the standard-model quark and lepton fields are localized on a "3-brane" in extra dimensions, while the gauge and Higgs fields propagate in the bulk. If supersymmetry is broken on another 3-brane,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Z. Chacko , Markus A. Luty , Ann E. Nelson , Eduardo Ponton

We study four-dimensional gauge theories coupled to fermions in the fundamental and meson-like scalars. All requisite beta functions are provided for general gauge group and fermion representation. In the regime where asymptotic freedom is…

High Energy Physics - Theory · Physics 2021-11-17 Andrew D. Bond , Daniel F. Litim , Gustavo Medina Vazquez

We present the phase diagram and associated fixed points for a wide class of Gauge-Yukawa theories in $d=4+\epsilon$ dimensions. The theories we investigate involve non-abelian gauge fields, fermions and scalars in the Veneziano-Witten…

High Energy Physics - Theory · Physics 2016-08-24 Alessandro Codello , Kasper Langaeble , Daniel Litim , Francesco Sannino