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We study a discretization of ${\cal N}=2$ super Yang-Mills theory which possesses a single exact supersymmetry at non-zero lattice spacing. This supersymmetry arises after a reformulation of the theory in terms of {\it twisted} fields. In…

高能物理 - 格点 · 物理学 2010-10-27 Simon Catterall

We study the spectrum of BPS states in N=4 supersymmetric U(N) Yang-Mills theory. This theory has been proposed to describe M-theory on T^3 in the discrete light-cone formalism. We find that the degeneracy of irreducible BPS bound states in…

高能物理 - 理论 · 物理学 2009-10-30 Feike Hacquebord , Herman Verlinde

We show that a four-parameter class of 3+1 dimensional NCOS theories can be obtained by dimensional reduction on a general 2-torus from OM theory. Compactifying two spatial directions of NCOS theory on a 2-torus, we study the transformation…

高能物理 - 理论 · 物理学 2009-10-07 J. G. Russo , M. M. Sheikh-Jabbari

Perturbative computations of the expectation value of the Wilson loop in N=4 supersymmetric Yang-Mills theory are reported. For the two special cases of a circular loop and a pair of anti-parallel lines, it is shown that the sum of an…

高能物理 - 理论 · 物理学 2009-10-31 J. K. Erickson , G. W. Semenoff , K. Zarembo

These lecture notes begin with a review of the first nonleading contributions to the derivative expansion of the M theory effective action compactified on a two-torus. The form of these higher-derivative interactions is shown to follow from…

高能物理 - 理论 · 物理学 2009-10-31 Michael B. Green

We review Wilson loops in N=4 supersymmetric Yang-Mills theory with emphasis on the exact results. The implications are discussed in the context of the AdS/CFT correspondence.

高能物理 - 理论 · 物理学 2009-11-07 Gordon W. Semenoff , K. Zarembo

We study theories with sixteen supercharges and a discrete energy spectrum. One class of theories has symmetry group $SU(2|4)$. They arise as truncations of ${\cal N}=4$ super Yang Mills. They include the plane wave matrix model, 2+1 super…

高能物理 - 理论 · 物理学 2008-11-26 Hai Lin , Juan Maldacena

We review a detailed investigation of the perturbative part of the low-energy effective action of N=2 supersymmetric Yang-Mills theory in a conventional effective field theory approach. With the restriction that the effective action should…

高能物理 - 理论 · 物理学 2007-05-23 M. Chaichian , W. F. Chen , C. Montonen

We develop Coulomb gas pictures of strong and weak coupling regimes of supersymmetric Yang-Mills theory in five and four dimensions. By relating them to the matrix models that arise in Chern-Simons theory, we compute their free energies in…

高能物理 - 理论 · 物理学 2014-02-05 Georgios Giasemidis , Richard J. Szabo , Miguel Tierz

We study the low-energy dynamics of noncommutative $\N=2$ supersymmetric U(N) Yang-Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. We find…

高能物理 - 理论 · 物理学 2010-02-03 Timothy J. Hollowood , Valentin V. Khoze , Gabriele Travaglini

R\'enyi and entanglement entropies are constructed for 2d q-deformed topological Yang-Mills theories with gauge group $U(N)$, as well as the dual 3d Chern-Simons (CS) theory on Seifert manifolds. When $q=\exp[2\pi i/(N+K)]$, and $K$ is odd,…

高能物理 - 理论 · 物理学 2016-05-27 Howard J. Schnitzer

Using localization, matrix model and saddle-point techniques, we determine exact behavior of circular Wilson loop in N=2 superconformal (quiver) gauge theories. Focusing at planar and large `t Hooft couling limits, we compare its asymptotic…

高能物理 - 理论 · 物理学 2011-02-02 Soo-Jong Rey , Takao Suyama

We study the half-BPS circular Wilson loop in ${\cal N}=4$ super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of $SO(N)$.…

高能物理 - 理论 · 物理学 2020-06-22 Simone Giombi , Bendeguz Offertaler

We calculate various Wilson loop averages in a pure $SU(N)$-gauge theory on a two-dimensional sphere, in the large $N$ limit. The results can be expressed through the density of rows in the most probable Young tableau. They are valid in…

高能物理 - 理论 · 物理学 2009-10-22 Jean-Marc DAUL , Vladimir A. KAZAKOV

The thermodynamics of four-dimensional SU(2) N=2 super-Yang-Mills theory is examined in both high and low temperature regimes. At low temperatures, compelling evidence is found for two distinct equilibrium states related by a spontaneously…

高能物理 - 理论 · 物理学 2010-04-23 Steve Paik , Laurence G. Yaffe

The simplicity and hidden symmetries of (Super) Yang-Mills and (Super)Gravity scattering amplitudes suggest the existence of a "weak-weak" dual formulation in which these structures are made manifest at the expense of manifest locality. We…

高能物理 - 理论 · 物理学 2015-05-13 Nima Arkani-Hamed , Freddy Cachazo , Clifford Cheung , Jared Kaplan

We investigate the perturbative part of Seiberg's low-energy effective action of N=2 supersymmetric Yang-Mills theory in Wess-Zumino gauge in the conventional effective field theory technique. Using the method of constant field…

高能物理 - 理论 · 物理学 2009-10-31 M. Chaichian , W. F. Chen , C. Montonen

This article reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for N=4 super Yang-Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally…

高能物理 - 理论 · 物理学 2015-05-27 Tim Adamo , Mathew Bullimore , Lionel Mason , David Skinner

We find a new duality for form factors of lightlike Wilson loops in planar $\mathcal N=4$ super-Yang-Mills theory. The duality maps a form factor involving an $n$-sided lightlike polygonal super-Wilson loop together with $m$ external…

高能物理 - 理论 · 物理学 2016-12-16 Dmitry Chicherin , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We study the quantum properties of certain BPS Wilson loops in ${\cal N}=4$ supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalar couplings endows generic loops on…

高能物理 - 理论 · 物理学 2014-11-18 Antonio Bassetto , Luca Griguolo , Fabrizio Pucci , Domenico Seminara