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We present a new family of IR dualities in three space-time dimensions with eight supercharges. In contrast to 3d mirror symmetry, these dualities map Coulomb branches to Coulomb branches and Higgs branches to Higgs branches in the deep IR.…

High Energy Physics - Theory · Physics 2024-10-22 Anindya Dey

A new Lagrangian formulation with complex currents is developed and yields a direct and simple method for modeling three-phase permanent-magnet and induction machines. The Lagrangian is the sum a mechanical one and of a magnetic one. This…

Optimization and Control · Mathematics 2016-11-17 Duro Basic , Francois Malrait , Pierre Rouchon

One of the most challenging hurdles to the construction of realistic composite Higgs models is the generation of Yukawa couplings for the Standard Model fermions. This problem can be successfully addressed in approximate conformal theories…

High Energy Physics - Phenomenology · Physics 2016-07-12 Luca Vecchi

Supersymmetry is one of the possible scenarios for physics beyond the standard model. The building blocks of this scenario are supersymmetric gauge theories. In our work we study the $\mathcal{N}=1$ Super-Yang-Mills (SYM) theory with gauge…

High Energy Physics - Lattice · Physics 2018-04-18 Daniel August , Björn Wellegehausen , Andreas Wipf

We discuss compactifications of rank $Q$ E-string theory on a torus with fluxes for abelian subgroups of the $E_8$ global symmetry of the $6d$ SCFT. We argue that the theories corresponding to such tori are built from a simple model we…

High Energy Physics - Theory · Physics 2020-01-29 Sara Pasquetti , Shlomo S. Razamat , Matteo Sacchi , Gabi Zafrir

We propose two closely--related Lagrangian numerical methods for the simulation of physical processes involving advection, reaction and diffusion. The methods are intended to be used in settings where the flow is nearly incompressible and…

Computational Physics · Physics 2018-03-14 Francesco Paparella , Marina Popolizio

We study ${T\overline{T}}$-like deformations of $d>2$ Yang-Mills theories. The standard ${T\overline{T}}$ flows lead to multi-trace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form.…

High Energy Physics - Theory · Physics 2024-09-30 Christian Ferko , Jue Hou , Tommaso Morone , Gabriele Tartaglino-Mazzucchelli , Roberto Tateo

In this paper, we develop an adaptive Generalized Multiscale Discontinuous Galerkin Method (GMs-DGM) for a class of high-contrast flow problems, and derive a-priori and a-posteriori error estimates for the method. Based on the a-posteriori…

Numerical Analysis · Mathematics 2014-09-12 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung

Motivated by a similar approach for Born-Oppenheimer molecular dynamics, this paper proposes an extended "shadow" Lagrangian density for quantum states of superfluids. The extended Lagrangian contains an additional field variable that is…

Numerical Analysis · Mathematics 2021-01-13 Patrick Henning , Anders M. N. Niklasson

Orbital-free density functional theory (OF-DFT) for real-space systems has historically depended on Lagrange optimization techniques, primarily due to the inability of previously proposed electron density approaches to ensure the…

Chemical Physics · Physics 2024-11-08 Alexandre de Camargo , Ricky T. Q. Chen , Rodrigo A. Vargas-Hernández

In this paper, a projected primal-dual gradient flow of augmented Lagrangian is presented to solve convex optimization problems that are not necessarily strictly convex. The optimization variables are restricted by a convex set with…

Optimization and Control · Mathematics 2018-10-31 Han Zhang , Jieqiang Wei , Peng Yi , Xiaoming Hu

In this talk we review how effective theories of mesons and baryons become exactly soluble in the large-N_c limit. We start with a generic hadron Lagrangian constrained only by certain well-known large-N_c selection rules. The bare vertices…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nick Dorey , Michael Mattis

We investigate the general group structure of gauge-Higgs unified models. We find that a given embedding of the \sm\ gauge group will imply the presence of additional light vectors, except for a small set of special cases, which we…

High Energy Physics - Phenomenology · Physics 2010-12-13 Alfredo Aranda , José Wudka

A universal Lagrangian that defines various four-dimensional massive Yang-Mills theories without Higgs bosons is presented. Each of the theories is characterized by a constant k contained in the Lagrangian. For k=0, the Lagrangian reduces…

High Energy Physics - Theory · Physics 2009-10-31 Shinichi Deguchi

In supersymmetric extensions of the Standard Model, the observed particles come in fermion-boson pairs necessary for the realization of supersymmetry (SUSY). In spite of the expected abundance of super-partners for all the known particles,…

High Energy Physics - Theory · Physics 2021-04-13 Pedro D. Alvarez , Lucas Delage , Mauricio Valenzuela , Jorge Zanelli

In this paper we study a special class of Calabi-Yau algebras (in the sense of Ginzburg): those arising as the fundamental group algebras of acyclic manifolds. Motivated partly by the usefulness of `superpotential descriptions' in motivic…

K-Theory and Homology · Mathematics 2012-07-16 Ben Davison

We present a Lagrangian formulation for ${\cal N}=8$ superconformal field theories in three spacetime dimensions that is general enough to encompass infinite-dimensional gauge algebras that generally go beyond Lie algebras. To this end we…

High Energy Physics - Theory · Physics 2019-05-01 Olaf Hohm , Henning Samtleben

We describe in some detail the present features of an automatic loop calculation program as well as the integration techniques that go into it. The program, called XLOOPS 1.0, allows one to calculate massive one- and two-loop Feynman…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Frink , J. G. Körner , J. B. Tausk

We review some aspects of the AdS supergravity description of RG flows. The case of a flow to an IR CFT can be rigorously studied within the framework of supergravity. Here we discuss various central charges of the conformal theory…

High Energy Physics - Theory · Physics 2009-09-25 M. Petrini , A. Zaffaroni

An effective theory is proposed, combining the standard gauge group $SU(3)_{C}\otimes SU(2)_{L}\otimes U(1)_{Y}$ with a horizontal discrete symmetry. By assigning appropriate charges under this discrete symmetry to the various fermion…

High Energy Physics - Phenomenology · Physics 2009-10-22 D. S. Shaw , R. R. Volkas