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We study a sector of the 5d maximally supersymmetric Yang-Mills theory on $S^5$ consisting of $1/8$-BPS Wilson loop operators contained within a great $S^3$ inside $S^5$. We conjecture that these observables are described by a 3d Chern…

高能物理 - 理论 · 物理学 2019-10-02 Márk Mezei , Silviu S. Pufu , Yifan Wang

In the large-$N$ and strong-coupling limit, maximally supersymmetric SU($N$) Yang--Mills theory in $(2 + 1)$ dimensions is conjectured to be dual to the decoupling limit of a stack of $N$ D$2$-branes, which may be described by IIA…

高能物理 - 理论 · 物理学 2020-11-11 Simon Catterall , Joel Giedt , Raghav G. Jha , David Schaich , Toby Wiseman

The Lagrangian of non-Abelian tensor gauge fields describes the interaction of the Yang-Mills and massless tensor bosons of increasing helicities. We have found a metric-independent gauge invariant density which is a four-dimensional analog…

高能物理 - 理论 · 物理学 2020-10-27 George Savvidy

An ongoing effort to compute the topological susceptibility for the SU(3) Yang-Mills theory in the continuum limit with a precison of about 2% is reported. The susceptibility is computed by using the definition of the charge suggested by…

高能物理 - 格点 · 物理学 2010-02-03 Leonardo Giusti , Bruno Taglienti , Silvano Petrarca

We derive a topological action that describes the confining phase of (Super-)Yang-Mills theories with gauge group $SU(N)$, similar to the work recently carried out by Seiberg and collaborators. It encodes all the Aharonov-Bohm phases of the…

高能物理 - 理论 · 物理学 2014-11-19 Markus Dierigl , Alexander Pritzel

Adding a gluino mass term to N=1 supersymmetric Yang-Mills theory breaks supersymmetry softly. In order to approach the supersymmetric continuum limit in numerical simulations with the Wilson action, the bare gluino mass has to be tuned to…

高能物理 - 格点 · 物理学 2014-11-07 Gernot Münster , Hendrik Stüwe

We discuss Wu-Yang type solutions of the Maxwell-Chern-Simons and the Yang-Mills-Chern-Simons theories. There exists a natural scale of length which is determined by the inverse topological mass. We obtain the non-abelian solution by means…

高能物理 - 理论 · 物理学 2008-07-10 K. Saygili

We explore 4d Yang-Mills gauge theories (YM) living as boundary conditions of 5d gapped short/long-range entangled (SRE/LRE) topological states. Specifically, we explore 4d time-reversal symmetric pure YM of an SU(2) gauge group with a…

高能物理 - 理论 · 物理学 2022-09-01 Zheyan Wan , Juven Wang , Yunqin Zheng

We present a general approach to construct a class of generalized topological field theories with constraints by means of generalized differential calculus and its application to connection theory. It turns out that not only the ordinary BF…

高能物理 - 理论 · 物理学 2009-11-10 Yi Ling , Roh-Suan Tung , Han-Ying Guo

We study the phase structure of N=1 supersymmetric Yang-Mills theory on R^3XS^1, with massive gauginos, periodic around the S^1, with Sp(2N) (N>=2), Spin(N) (N>=5), G_2, F_4, E_6, E_7, E_8 gauge groups. As the gaugino mass m is increased,…

高能物理 - 理论 · 物理学 2015-06-19 Mohamed M. Anber , Erich Poppitz , Brett Teeple

A nonabelian class of massless/massive nonlinear gauge theories of Yang-Mills vector potentials coupled to Freedman-Townsend antisymmetric tensor potentials is constructed in four spacetime dimensions. These theories involve an extended…

数学物理 · 物理学 2009-11-07 Stephen C. Anco

We propose a systematic way of finding solutions to classical Yang-Mills equation with nontrivial topology. This approach is based on one of Wightman axioms for quantum field theory, which is referred to as form invariance condition in this…

高能物理 - 理论 · 物理学 2021-07-02 Jun Nian , Yachao Qian

Supersymmetric Yang-Mills theory is in several respects different from QCD and pure Yang-Mills theory. Therefore, a reinvestigation of the scales, at which finite size effects and lattice artifacts become relevant, is necessary. Both,…

高能物理 - 格点 · 物理学 2012-10-30 Georg Bergner , Istvan Montvay , Gernot Münster , Dirk Sandbrink , Umut D. Özugurel

By regarding gravity as the convolution of left and right Yang-Mills theories together with a spectator scalar field in the bi-adjoint representation, we derive in linearised approximation the gravitational symmetries of general covariance,…

高能物理 - 理论 · 物理学 2014-12-10 A. Anastasiou , L. Borsten , M. J. Duff , L. J. Hughes , S. Nagy

We show a sharp conformally invariant gap theorem for Yang-Mills connections in dimension 4 by exploiting an associated Yamabe-type problem.

微分几何 · 数学 2019-01-17 Matthew Gursky , Casey Lynn Kelleher , Jeffrey Streets

We propose a new partially topological theory in three dimensions which couples Chern-Simons theory to matter. The 3-manifolds needed for this construction admit transverse holomorphic foliation (THF). The theory depends only on the choice…

高能物理 - 理论 · 物理学 2017-08-29 Mina Aganagic , Kevin Costello , Jacob McNamara , Cumrun Vafa

Classical three dimensional Yang-Mills is seen to be related to the topological Chern-Simons term through a nonlinear but fully local and covariant gauge field redefinition. A classical recursive cohomological argument is provided.

高能物理 - 理论 · 物理学 2009-10-30 V. E. R. Lemes , C. Linhares de Jesus , C. A. G. Sasaki , S. P. Sorella , L. C. Q. Vilar , O. S. Ventura

A distance function on the set of physical equivalence classes of Yang-Mills configurations considered by Feynman and by Atiyah, Hitchin and Singer is studied for both the $2+1$ and $3+1$-dimensional Hamiltonians. This set equipped with…

高能物理 - 理论 · 物理学 2016-09-06 Peter Orland

We present a conjecture for the crossing symmetry rules for Chern-Simons gauge theories interacting with massive matter in $2+1$ dimensions. Our crossing rules are given in terms of the expectation values of particular tangles of Wilson…

高能物理 - 理论 · 物理学 2023-09-28 Umang Mehta , Shiraz Minwalla , Chintan Patel , Shiroman Prakash , Kartik Sharma

We study the mechanism of topological mass-generation for 3d Chern-Simons gauge theories and propose a brand-new Topological Equivalence Theorem to connect scattering amplitudes of the physical gauge boson states to that of the transverse…

高能物理 - 理论 · 物理学 2024-06-21 Yan-Feng Hang , Hong-Jian He , Cong Shen