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Duality is an indispensable tool for describing the strong-coupling dynamics of gauge theories. However, its actual realization is often quite subtle: quantities such as the partition function can transform covariantly, with degrees of…

High Energy Physics - Theory · Physics 2017-08-16 William Donnelly , Ben Michel , Aron Wall

We determine the strong coupling constant \alpha_s from the \tau hadroni width using a renormalization group summed (RGS) expansion of the QCD Adler function. The main theoretical uncertainty in the extraction of \alpha_s is due to the…

High Energy Physics - Phenomenology · Physics 2015-06-16 Gauhar Abbas , B. Ananthanarayan , I. Caprini

We construct a Dirac equation in $\kappa$-Minkowski spacetime and analyse its implications. This $\kappa$-deformed Dirac equation is expanded as a power series involving derivatives with respect to commutative coordinates and the…

High Energy Physics - Theory · Physics 2011-07-28 E. Harikumar , M. Sivakumar , N. Srinivas

In this work, we provide evidence for a duality between 4-dimensional Calabi-Yau compactifications of the heterotic string, in which the base manifolds are linked by a conifold transition. In recent work, a geometric proposal was put…

High Energy Physics - Theory · Physics 2025-12-23 Lara B. Anderson , James Gray , Sunit A. Patil , Caoimhín Scanlon

The Courant-Snyder theory for two-dimensional coupled linear optics is presented, based on the systematic use of the real representation of the Dirac matrices. Since any real $4\times 4$-matrix can be expressed as a linear combination of…

Accelerator Physics · Physics 2012-01-05 C. Baumgarten

Through a holographic model of QCD, we present a phenomenological approach to study the running of the strong coupling constant \alpha_s in both non-perturbative and perturbative regimes. The renormalization of the metric tensor, driven by…

High Energy Physics - Phenomenology · Physics 2026-02-10 Héctor Cancio , Pere Masjuan

We describe duality cascades and their infrared behavior for systems of D3-branes at singularities given by complex cones over del Pezzo surfaces (and related examples), in the presence of fractional branes. From the gauge field theory…

High Energy Physics - Theory · Physics 2010-04-08 Sebastian Franco , Amihay Hanany , Angel M. Uranga

We describe a class of parity- and time-reversal-invariant topological states of matter which can arise in correlated electron systems in 2+1-dimensions. These states are characterized by particle-like excitations exhibiting exotic braiding…

Strongly Correlated Electrons · Physics 2011-06-07 Michael Freedman , Chetan Nayak , Kirill Shtengel , Kevin Walker , Zhenghan Wang

We study the topology of the space of probability measures invariant under the geodesic flow, defined on the unit-tangent bundle of a compact Riemannian manifold with non-positive curvature. Building on a previous work by Coud\`ene and…

Dynamical Systems · Mathematics 2025-09-16 Paul Mella

Recently a duality between color and kinematics has been proposed, exposing a new unexpected structure in gauge theory and gravity scattering amplitudes. Here we propose that the relation goes deeper, allowing us to reorganize amplitudes…

High Energy Physics - Theory · Physics 2013-05-29 Zvi Bern , Tristan Dennen

Motivated by recent scenarios of exotic infrared behaviour and by earlier lattice findings, we present results for the SU(2) gauge theory with one Dirac flavor in the adjoint representation. This provides a major update on our previous…

High Energy Physics - Lattice · Physics 2021-11-11 Ed Bennett , Andreas Athenodorou , Georg Bergner , Biagio Lucini

The duality theory of the Monge-Kantorovich transport problem is investigated in an abstract measure theoretic framework. Let $(\mathcal{X},\mathcal{F},\mu)$ and $(\mathcal{Y},\mathcal{G},\nu)$ be any probability spaces and…

Probability · Mathematics 2019-07-17 Pietro Rigo

We introduce a diagramatic notation for supersymmetric gauge theories. The notation is a tool for exploring duality and helps to present the field content of more complicated models in a simple visual way. We introduce the notation with a…

High Energy Physics - Theory · Physics 2009-10-30 Nick Evans , Martin Schmaltz

We consider the optical and transport properties in a model two-dimensional Hamiltonian which describes the merging of two Dirac points. At low energy, in the presence of an energy gap parameter $\Delta$, there are two distinct Dirac points…

Mesoscale and Nanoscale Physics · Physics 2019-08-09 J. P. Carbotte , E. J. Nicol

We study flows on the scalar manifold of N=8 gauged supergravity in five dimensions which are dual to certain mass deformations of N=4 super Yang--Mills theory. In particular, we consider a perturbation of the gauge theory by a mass term…

High Energy Physics - Theory · Physics 2009-10-31 A. Brandhuber , K. Sfetsos

We introduce a new supersymmetric extension of the standard model in which the gauge sector contains complete N=2 supersymmetry multiplets. Supersymmetry breaking from the D-term vev of a hidden sector U(1) gauge field leads to Dirac soft…

High Energy Physics - Phenomenology · Physics 2014-11-17 Patrick J. Fox , Ann E. Nelson , Neal Weiner

We study the structure of the neutrino mass matrix in the minimal gauged U(1)$_{L_\mu-L_\tau}$ model, where three right-handed neutrinos are added to the Standard Model in order to obtain non-zero masses for active neutrinos. Because of the…

High Energy Physics - Phenomenology · Physics 2017-12-06 Kento Asai , Koichi Hamaguchi , Natsumi Nagata

We show that D/2--form gauge fields in D even dimensions can get a mass with both electric and magnetic contributions when coupled to conformal field--strengths whose gauge potentials is are \frac {D-2}{2}- forms. Denoting by e^I_\L and…

High Energy Physics - Theory · Physics 2009-11-10 R. D'Auria , S. Ferrara

In this paper we produce further specification of the geometric and algebraic properties of the earlier introduced superdimensional dual-covariant field theory (SFT) in a N-dimensional manifold [1] as an approach to a unified field theory…

General Physics · Physics 2015-12-08 Yaroslav Derbenev

We present evidence for new, non-trivial RG fixed points with dual magnetic descriptions in $N=1$ supersymmetric $SP(N_c)$ and $SO(N_c)$ gauge theories. The $SP(N_c)$ case involves matter $X$ in the antisymmetric tensor representation and…

High Energy Physics - Theory · Physics 2009-10-28 K. Intriligator