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Two dimensional QCD coupled to fermions in the adjoint representation of the gauge group $SU(N)$, a useful toy model of QCD strings, is supersymmetric for a certain ratio of quark mass and gauge coupling constant. Here we study the theory…

High Energy Physics - Theory · Physics 2009-10-28 Joshua Boorstein , David Kutasov

We propose gauging matrix models of string theory to eliminate unwanted non-singlet states. To this end we perform a discretised light-cone quantisation of large N gauge theory in 1+1 dimensions, with scalar or fermionic matter fields…

High Energy Physics - Theory · Physics 2013-11-13 S. Dalley , I. Klebanov

We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the…

High Energy Physics - Theory · Physics 2018-07-25 Jaume Gomis , Zohar Komargodski , Nathan Seiberg

We revisit the symmetries of massless two-dimensional adjoint QCD with gauge group $SU(N)$. The dynamics is not sufficiently constrained by the ordinary symmetries and anomalies. Here we show that the theory in fact admits $\sim 2^{2N}$…

High Energy Physics - Theory · Physics 2021-05-05 Zohar Komargodski , Kantaro Ohmori , Konstantinos Roumpedakis , Sahand Seifnashri

We review and elaborate on properties of the string tension in two-dimensional gauge theories. The first model we consider is massive QED in the $m\ll e$ limit. We evaluate the leading string tension both in the fermionic and bosonized…

High Energy Physics - Theory · Physics 2009-10-31 A. Armoni , Y. Frishman , J. Sonnenschein

$1+1$-dimensional $SU(N)$ gauge theory coupled to an adjoint Majorana fermion, also known as adjoint QCD$_2$, has the surprising feature that at fermion mass $\sqrt{\frac{g^2 N}{2 \pi}}$ it exhibits supersymmetry. In this paper, we obtain a…

High Energy Physics - Theory · Physics 2026-05-26 Igor R. Klebanov , Silviu S. Pufu , Benjamin Søgaard , Edward Witten

We consider a bound state problem for a family of supersymmetric gauge theories with fundamental matter. These theories can be obtained by a dimensional reduction of supersymmetric QCD from three dimensions to 1+1 and subsequent truncation…

High Energy Physics - Theory · Physics 2009-10-31 Oleg Lunin , Stephen Pinsky

Gauge theories with fermions in adjoint and fundamental representations are relevant for many different applications including composite Higgs models and general aspects of the confinement problem. We present first results from simulations…

High Energy Physics - Lattice · Physics 2021-12-01 Georg Bergner , Stefano Piemonte

A study of two-dimensional QCD on a spatial circle with Majorana fermions in the adjoint representation of the gauge groups SU(2) and SU(3) has been performed. The main emphasis is put on the symmetry properties related to the homotopically…

High Energy Physics - Theory · Physics 2009-10-28 F. Lenz , M. Shifman , M. Thies

Gauge theories with gauge group $SU(N)$ and quarks belonging to arbitrary representations of $SU(N)$ form a rich landscape of QCD-like theories, whose study can shed new light on the properties of confinement. Four cases are particularly…

High Energy Physics - Lattice · Physics 2020-03-23 F. Buisseret , C. Semay

We analyze the finite temperature phase diagram of QCD with fermions in the adjoint representation. The simulations performed with four dynamical Majorana fermions, which is equivalent to two Dirac fermions, show that the deconfinement and…

High Energy Physics - Lattice · Physics 2009-10-31 F. Karsch , M. Lütgemeier

We consider 1+1-dimensional QCD coupled to Majorana fermions in the adjoint representation of the gauge group $SU(N)$. Pair creation of partons (fermion quanta) is not suppressed in the large-$N$ limit, where the glueball-like bound states…

High Energy Physics - Theory · Physics 2009-10-22 G. Bhanot , K. Demeterfi , I. Klebanov

We consider two dimensional QCD with the spatial dimension compactified to a circle. We show that the states in the theory consist of interacting strings that wind around the circle and derive the Hamiltonian for this theory in the large…

High Energy Physics - Theory · Physics 2009-10-22 Joseph A. Minahan , Alexios P. Polychronakos

We analyze the 2+1 dimensional gauge theory with two fermions in the real adjoint representation with non-zero Chern-Simons level. We propose a new fermion-fermion dualities between strongly-coupled theories and determine the quantum phase…

High Energy Physics - Theory · Physics 2019-10-15 Changha Choi

Theories with fermions in the adjoint representation have several interesting applications in extensions of the standard model. The conformal window for these theories is of particular interest for technicolour extensions. We present here…

High Energy Physics - Lattice · Physics 2015-11-17 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

Two-dimensional SU$(N)$ gauge theory coupled to a Majorana fermion in the adjoint representation is a nice toy model for higher-dimensional gauge dynamics. It possesses a multitude of "gluinoball" bound states whose spectrum has been…

High Energy Physics - Theory · Physics 2021-10-27 Ross Dempsey , Igor R. Klebanov , Silviu S. Pufu

The mass spectrum of $1+1$-dimensional $\mathrm{SU}(N)$ gauge theory coupled to a Majorana fermion in the adjoint representation has been studied in the large $N$ limit using Light-Cone Quantization. Here we extend this approach to theories…

High Energy Physics - Theory · Physics 2023-05-10 Ross Dempsey , Igor R. Klebanov , Loki L. Lin , Silviu S. Pufu

We calculate the phase diagrams at high temperature of SU(N) gauge theories with massive fermions by minimizing the one-loop effective potential. Considering fermions in the adjoint (Adj) representation at various N we observe a variety of…

High Energy Physics - Theory · Physics 2009-11-13 Joyce C. Myers , Michael C. Ogilvie

We identify the global symmetries of SU(2) lattice gauge theory with N flavors of staggered fermion in the presence of a quark chemical potential mu, for fermions in both fundamental and adjoint representations, and anticipate likely…

High Energy Physics - Lattice · Physics 2009-01-07 S. Hands , I. Montvay , S. Morrison , M. Oevers , L. Scorzato , J. Skullerud

The QCD-like gauge theory with adjoint fermions is considered in the field correlator formalism and the total spectrum of mesons and glueballs is obtained in agreement with available lattice data. A new state of a white fermion appears, as…

High Energy Physics - Phenomenology · Physics 2014-01-29 Yu. A. Simonov
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