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For the symmetric group $S_4$ we determine all the integer values taken by its group determinant when the matrix entries are integers.

数论 · 数学 2018-06-28 Christopher Pinner

We study a recently proposed gauge invariant, non-local pure gauge observable, which is equivalent to the gluon propagator in a certain gauge. The correlator describes a gluon coupled to static sources and decays with eigenvalues of the…

高能物理 - 格点 · 物理学 2009-11-07 O. Philipsen

Gluon-gluon to photon-photon scattering $gg \to \gamma\gamma$ offers to the LHC experiments a uniquely powerful probe of dimension-8 operators in the Standard Model Effective Field Theory (SMEFT) that are quadratic in both the…

高能物理 - 唯象学 · 物理学 2018-08-01 John Ellis , Shao-Feng Ge

A new Einstein-Hilbert type (SGM) action describing gravitational interaction of Nambu-Goldstone(N-G) fermion of nonlinear supersymmetry(NL SUSY) is obtained by performing the Einstein gravity analogue geometrical arguments in high…

高能物理 - 理论 · 物理学 2007-05-23 K. Shima , M. Tsuda , M. Sawaguchi

A unifying overview of the ways to parameterize the linear group GL(4.C) and its subgroups is given. As parameters for this group there are taken 16 coefficients G = G(A,B,A_{k}, B_{k}, F_{kl}) in resolving matrix G in terms of 16 basic…

高能物理 - 理论 · 物理学 2011-09-15 A. A. Bogush , V. M. Red'kov

In this paper we present a beautifully consistent web of evidence for the existence of interacting 4d rank-1 $\mathcal{N}=2$ SCFTs obtained from gauging discrete subgroups of global symmetries of other existing 4d rank-1 $\mathcal{N}=2$…

高能物理 - 理论 · 物理学 2017-09-07 Philip C. Argyres , Mario Martone

Recently, it was found that certain 4d $\mathcal{N}=1$ Lagrangians experience supersymmetry enhancement at their IR fixed point, thereby giving a Lagrangian description for a plethora of Argyres-Douglas theories. A generic feature of these…

高能物理 - 理论 · 物理学 2019-05-10 Prarit Agarwal

We systematically develop a theory of graded semigroups, that is semigroups S partitioned by groups G, in a manner compatible with the multiplication on S. We define a smash product S#G, and show that when S has local units, the category…

环与代数 · 数学 2023-04-25 Roozbeh Hazrat , Zachary Mesyan

There is a group-theoretical connection between fermion mixing matrices and minimal horizontal symmetry groups. Applying this connection to the tri-bimaximal neutrino mixing matrix, we show that the minimal horizontal symmetry group for…

高能物理 - 唯象学 · 物理学 2008-11-26 C. S. Lam

We construct global F-theory GUTs with SU(5) x U(1) gauge group defined by specifying a fully resolved Calabi-Yau fourfold and consistent four-form G-flux. Its specific U(1) charged matter spectrum allows the desired Yukawa couplings, but…

高能物理 - 理论 · 物理学 2015-06-15 Volker Braun , Thomas W. Grimm , Jan Keitel

The goal of this paper is to develop a systematic method of locating the Mueller matrices within the class of the matrices of the real group SL(4, R). The main idea is to construct the general transformation of the group SL(4, R) (whose…

数学物理 · 物理学 2012-11-28 E. Ovsiyuk , O. Veko , M. Neagu , V. Balan , V. Red'kov

An on-shell formalism for the computation of S-matrices of SYM theories in three spacetime dimensions is presented. The framework is a generalization of the spinor-helicity formalism in four dimensions. The formalism is applied to establish…

高能物理 - 理论 · 物理学 2011-08-03 Abhishek Agarwal , Donovan Young

We consider classes of T_6 orientifolds, where the orientifold projection contains an inversion I_{9-p} on 9-p coordinates, transverse to a Dp-brane. In absence of fluxes, the massless sector of these models corresponds to diverse forms of…

高能物理 - 理论 · 物理学 2009-11-10 C. Angelantonj , S. Ferrara , M. Trigiante

Let $N(\Gamma,G)$ be the number of homomorphisms from $\Gamma$ to $G$ up to conjugation by $G$. Physics of four-dimensional $\mathcal{N}=4$ supersymmetric gauge theories predicts that $N(\Gamma,G)=N(\Gamma , \tilde G)$ when $\Gamma$ is a…

表示论 · 数学 2025-05-05 Yuki Kojima , Yuji Tachikawa

We study a landscape of four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs) with identical central charges. These theories are obtained by renormalization group flows triggered by supersymmetry-preserving superpotential…

高能物理 - 理论 · 物理学 2025-05-07 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

Let V be a vector bundle on a scheme X endowed with a nondegenerate symplectic or orthogonal form. Let G be a Grassmannian bundle parametrizing maximal isotropic subbundles of V. The main goal of the paper is to give formulas for the…

alg-geom · 数学 2015-06-30 P. Pragacz , J. Ratajski

We use a recent approach to soft-gluon resummation based on effective field theory to implement soft-gluon resummation at NNNLL order for slepton-pair production in SUSY extensions of the Standard Model. This approach resums large…

高能物理 - 唯象学 · 物理学 2012-08-06 Alessandro Broggio , Matthias Neubert , Leonardo Vernazza

An extension of the adjoint SU(5) model with a flavour symmetry based on the Z_4 group is investigated. The Z_4 symmetry is introduced with the aim of leading the up- and down-quark mass matrices to the Nearest-Neighbour-Interaction form.…

高能物理 - 唯象学 · 物理学 2013-10-11 D. Emmanuel-Costa , C. Simoes , M. Tortola

We present the next-to-leading order partonic cross sections involving an electroweak vector boson and four massless partons (quarks, gluons or long living gluinos) in a general gauge theory with a simple Lie Group. The vector boson couples…

高能物理 - 唯象学 · 物理学 2009-10-30 Zoltan Nagy , Zoltan Trocsanyi

We present globally supersymmetric models of gauged scale covariance in ten, six, and four-dimensions. This is an application of a recent similar gauging in three-dimensions for a massive self-dual vector multiplet. In ten-dimensions, we…

高能物理 - 理论 · 物理学 2009-11-10 Hitoshi Nishino , Subhash Rajpoot