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An important ``observable'' of planar N=4 SYM theory is the scaling function f(lambda) that appears in the anomalous dimension of large spin twist 2 operators and also in the cusp anomaly of light-like Wilson loops. The non-trivial relation…

高能物理 - 理论 · 物理学 2008-11-26 M. Kruczenski , R. Roiban , A. Tirziu , A. A. Tseytlin

We study supersymmetric $SO(N_c)$ gauge theories with $N_f$ flavors of quarks in the vector representation. Among the phenomena we find are dynamically generated superpotentials with physically inequivalent branches, smooth moduli spaces of…

高能物理 - 理论 · 物理学 2009-09-15 K. Intriligator , N. Seiberg

We complete the program of 2012.15792 about perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in four dimensions. We consider several classes of observables in presence of Wilson loops, and we evaluate them with the…

高能物理 - 理论 · 物理学 2021-11-24 Francesco Galvagno , Michelangelo Preti

The supergravity dual of superconformal anomaly in a four-dimensional supersymmetric gauge theory is investigated. We consider a well-established dual correspondence between the ${\cal N}=1$ $SU(N+M)\times SU(N)$ supersymmetric gauge theory…

高能物理 - 理论 · 物理学 2012-10-02 W. F. Chen

We construct a solution of eleven dimensional supergravity corresponding to a stack of M2 branes localized at the center of a particular eight dimensional hyper-Kaehler manifold constructed by Gauntlett, Gibbons, Papadopoulos, and Townsend,…

高能物理 - 理论 · 物理学 2008-11-26 Akikazu Hashimoto , Peter Ouyang

A slice of AdS_5 is used to provide a 5D gravitational description of 4D strongly-coupled Seiberg dual gauge theories. An (electric) SU(N) gauge theory in the conformal window at large N is described by the 5D bulk, while its weakly coupled…

高能物理 - 理论 · 物理学 2011-01-27 Steven Abel , Tony Gherghetta

We study fermionic bulk fields in the dS/CFT dualities relating ${\cal N}=2$ supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to supersymmetric Vasiliev theories in four-dimensional de Sitter space.…

高能物理 - 理论 · 物理学 2025-03-13 Thomas Hertog , Gabriele Tartaglino-Mazzucchelli , Victoria Venken

Gauge/gravity dualities are investigated from the worldsheet point of view. In [arXiv:0706.1163] and [arXiv:0708.2463], a duality between 4d SYM and supergravity on AdS_5xS^5 has been partly explained by using an anisotropic scale…

高能物理 - 理论 · 物理学 2010-05-12 Tatsuo Azeyanagi , Masanori Hanada , Hikaru Kawai , Yoshinori Matsuo

We review extensions of the AdS/CFT correspondence to gauge/ gravity dualities with N=1 supersymmetry. In particular, we describe the gauge/gravity dualities that emerge from placing D3-branes at the apex of the conifold. We consider first…

高能物理 - 理论 · 物理学 2007-05-23 Christopher P. Herzog , Igor R. Klebanov , Peter Ouyang

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

Let $\mathfrak{g}$ be a simple Lie algebra. We study 1/2-BPS Wilson loops of supersymmetric 5d $\mathfrak{g}$-type quiver gauge theories on a circle, in a non-trivial instanton background. The Wilson loops are codimension 4 defects of the…

高能物理 - 理论 · 物理学 2024-10-01 Nathan Haouzi , Can Kozçaz

We study four dimensional $N=2$ supersymmetric gauge theories with matter multiplets. For all such models for which the gauge group is $SU(2)$, we derive the exact metric on the moduli space of quantum vacua and the exact spectrum of the…

高能物理 - 理论 · 物理学 2010-04-07 N. Seiberg , E. Witten

We consider the S-duality transformation of gauge invariant operators and states in $\mathcal{N}$ $=4$ SYM theory. The transformation is realized through an operator $ S $ which is the $ SL(2,Z) $ canonical transformation in loop space with…

高能物理 - 理论 · 物理学 2019-05-23 Shan Hu

The AdS/CFT equivalence transformation is a field redefinition that relates the Weyl dilaton and AdS brane realizations of broken conformal symmetry. Acting on theories with second order equations of motion, it maps the conformal galileons…

高能物理 - 理论 · 物理学 2025-08-05 Kurt Hinterbichler , Samanta Saha

We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N=4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin,…

高能物理 - 理论 · 物理学 2009-04-17 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

We describe the duality between the gravitating $c=1$ (compact) Sine-Gordon model and a normal matrix model. From a two-dimensional quantum gravity perspective and due to the periodic nature of the potential, this model admits both anti-de…

高能物理 - 理论 · 物理学 2025-10-16 Panos Betzios

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading…

高能物理 - 理论 · 物理学 2008-11-26 B. Basso , G. P. Korchemsky

We analyze the conformal invariance of submanifold observables associated with $k$-branes in the AdS/CFT correspondence. For odd $k$, the resulting observables are conformally invariant, and for even $k$, they transform with a conformal…

高能物理 - 理论 · 物理学 2010-04-07 C. Robin Graham , Edward Witten

Supersymmetric and non-supersymmetric deformations of large $N=(4,4)$ SCFT with superconformal symmetry $D^1(2,1;\alpha)\times D^1(2,1;\alpha)$ are explored in the gravity dual described by a Chern-Simons $N=8$, $(SO(4)\times SO(4))\ltimes…

高能物理 - 理论 · 物理学 2014-05-22 Parinya Karndumri

There is growing evidence that on-shell gluon scattering amplitudes in planar N=4 SYM theory are equivalent to Wilson loops evaluated over contours consisting of straight, light-like segments defined by the momenta of the external gluons.…

高能物理 - 理论 · 物理学 2010-03-26 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev