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The $1/N$ expansion is an asymptotic series expansion for certain quantities in large-$N$ lattice gauge theories. This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in SO(N) lattice gauge…

概率论 · 数学 2016-05-12 Sourav Chatterjee , Jafar Jafarov

We study the unification scale and gauge coupling constant in 4D string theory. We show that the fine structure constant is determined by the dimension of the hidden gauge group and only $SU(6)$ and $SO(9)$ are consistent with minimal…

高能物理 - 唯象学 · 物理学 2009-10-28 A. de la Macorra

The lattice SU(2) gluodynamics in the maximal abelian projection is reduced to the abelian theory, in which the natural small parameter exists. We show that in the zeroth order of the expansion in this parameter the theory is equivalent to…

高能物理 - 理论 · 物理学 2007-05-23 M. A. Zubkov

We use lattice techniques to calculate the continuum string tensions of SU(N) gauge theories in 2+1 dimensions. We attempt to control all systematic errors at a level that allows us to perform a precise test of the analytic prediction of…

高能物理 - 理论 · 物理学 2008-11-26 Barak Bringoltz , Michael Teper

We provide an extended lattice study of the SU(2) gauge theory coupled to one Dirac fermion flavour ($N_{\mathrm{f}} =1$) transforming in the adjoint representation as the continuum limit is approached. This investigation is supplemented by…

高能物理 - 格点 · 物理学 2026-04-13 Andreas Athenodorou , Ed Bennett , Georg Bergner , Pietro Butti , Julian Lenz , Biagio Lucini

We provide some additional evidence in favour of the strong - weak coupling duality between the SO(32) heterotic and type I superstring theories by comparing terms quartic in the gauge field strength in their low-energy effective actions.…

高能物理 - 理论 · 物理学 2009-09-17 A. A. Tseytlin

We use a new approach to study string scale gauge coupling unification systematically, allowing both the possibility of non-canonical U(1)_Y normalization and the existence of vector-like particles whose quantum numbers are the same as…

高能物理 - 唯象学 · 物理学 2008-11-26 V. Barger , Jing Jiang , Paul Langacker , Tianjun Li

In the four dimensional free fermionic formulation of the heterotic string, a semi-realistic $SU(4)\times SU(2)_L \times SU(2)_R$ model is proposed with three fermion generations in $(4,2,1)+(\bar 4,1,2)$ representations. The gauge symmetry…

高能物理 - 唯象学 · 物理学 2009-10-28 G. K. Leontaris

The SO(32) theory, in the limit where it is an open superstring theory, is completely specified in the light-cone gauge as a second-quantized string theory in terms of a ``matrix string'' model. The theory is defined by the neighbourhood of…

高能物理 - 理论 · 物理学 2009-10-31 Clifford V. Johnson

Motivated by the duality conjecture of Dijkgraaf and Vafa between supersymmetric gauge theories and matrix models, we derive the effective superpotential of N=1 supersymmetric gauge theory with gauge group SO(N_c) and arbitrary tree level…

高能物理 - 理论 · 物理学 2008-11-26 Pravina Borhade , P. Ramadevi

We review the current status of the long-term programme of numerical investigation of $Sp(2N)$ gauge theories with and without fermionic matter content. We start by introducing the phenomenological as well as theoretical motivations for…

Maximally supersymmetric SO(10) and SU(6) unified theories are constructed on the orbifold T^2/(Z_2 x Z'_2), with one length scale R_5 taken much larger than the other, R_6. The effective theory below 1/R_6 is found to be the highly…

高能物理 - 唯象学 · 物理学 2009-09-29 Lawrence J. Hall , Yasunori Nomura

We calculate the low-lying glueball spectrum, some string tensions and some properties of topology and the running coupling for SU(N) lattice gauge theories in 3+1 dimensions. We do so for N = 2,3,...12, using lattice simulations with the…

高能物理 - 格点 · 物理学 2022-01-05 Andreas Athenodorou , Michael Teper

The Villain form of SO(3) lattice gauge theory is studied and compared to Wilson's SU(2) theory. The topological invariants in SO(3) which correspond to twisted boundary conditions in SU(2) are discussed and lattice observables are…

高能物理 - 格点 · 物理学 2010-04-05 Philippe de Forcrand , Oliver Jahn

We study the discretized worldsheet of Type IIB strings in the Gubser-Klebanov-Polyakov background in a new setup, which eliminates a complex phase previously detected in the fermionic determinant. A sign ambiguity remains, which a study of…

高能物理 - 理论 · 物理学 2020-02-19 Lorenzo Bianchi , Valentina Forini , Björn Leder , Philipp Töpfer , Edoardo Vescovi

We investigate (2+1)-d Hamiltonian lattice gauge theory using a class of Hamiltonians having exactly known vacuum states. These theories are shown to have a wide range of possible classical continuum limits which differ from that of the…

高能物理 - 格点 · 物理学 2009-10-22 G. Frichter , D. Robson

The Lie algebra $so(2n+1)$ and the Lie superalgebra $osp(1/2n)$ are quantized in terms of $3n$ generators, called preoscillator generators. Apart from $n$ "Cartan" elements the preoscillator generators are deformed para-Fermi operators in…

高能物理 - 理论 · 物理学 2011-04-15 Tchavdar D. Palev

String theory provides us with 8d supersymmetric gauge theory with gauge algebras $\mathfrak{su}(N)$, $\mathfrak{so}(2N)$, $\mathfrak{sp}(N)$, $\mathfrak{e}_{6}$, $\mathfrak{e}_{7}$ and $\mathfrak{e}_{8}$, but no construction for…

高能物理 - 理论 · 物理学 2018-01-17 Iñaki García-Etxebarria , Hirotaka Hayashi , Kantaro Ohmori , Yuji Tachikawa , Kazuya Yonekura

In this paper, we explicitly construct string theory backgrounds that realise the so-called $\mathcal N=2^\star$ gauge theory. We prove the consistency of our models by calculating their partition function and obtaining the correct gauge…

高能物理 - 理论 · 物理学 2016-06-29 Ioannis Florakis , Ahmad Zein Assi

Recent results on solutions to the equation of motion of the cubic fermionic string field theory and an equivalence of non-polynomial and cubic string field theories are discussed. To have a possibility to deal with both GSO(+) and GSO(-)…

高能物理 - 理论 · 物理学 2009-07-22 I. Ya. Aref'eva , R. V. Gorbachev , P. B. Medvedev