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We study a non-standard decoupling limit of the D1/D5-brane system, which interpolates between the near-horizon geometry of the D1/D5 background and the near-horizon limit of the pure D5-brane geometry. The S-dual description of this…

High Energy Physics - Theory · Physics 2010-02-03 Dan Israel , Costas Kounnas , Marios P Petropoulos

We consider conformal N=2 super Yang-Mills theories with gauge group SU(N) and Nf=2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wilson loop. It is natural to conjecture that the matrix model which describes the…

High Energy Physics - Theory · Physics 2020-05-20 M. Billo , F. Galvagno , P. Gregori , A. Lerda

The derivation of the explicit formula for the vacuum expectation value of the Wilson loop functional for an arbitrary gauge group on an arbitrary orientable two-dimensional manifold is considered both in the continuum case and on the…

High Energy Physics - Theory · Physics 2007-05-23 J. M. Aroca , Yu. A. Kubyshin

The AdS/CFT correspondence suggests that the Wilson loop of the large N gauge theory with N=4 supersymmetry in 4 dimensions is described by a minimal surface in AdS_5 x S^5. We examine various aspects of this proposal, comparing gauge…

High Energy Physics - Theory · Physics 2009-09-17 Nadav Drukker , David J. Gross , Hirosi Ooguri

We derive exact formulas for circular Wilson loops in the $\mathcal{N}=4$ and $\mathcal{N}=2^{* }$ theories with gauge groups $U(N)$ and $SU(N)$ in the $k$-fold symmetrized product representation. The formulas apply in the limit of large…

High Energy Physics - Theory · Physics 2022-09-14 D. Rodriguez-Gomez , J. G. Russo

We use on-shell methods to study the non-supersymmetric and supersymmetric low-energy S-matrix on a probe D3-brane, including both the 1-loop contributions of massless states as well as the effects of higher-derivative operators. Our…

High Energy Physics - Theory · Physics 2021-05-05 Henriette Elvang , Marios Hadjiantonis , Callum R. T. Jones , Shruti Paranjape

In the pure large-N Yang-Mills theory there is a quasi-BPS sector that is exactly solvable at large N. It follows an exact beta function and the glueball spectrum in this sector. The main technical tool is a new holomorphic loop equation…

High Energy Physics - Theory · Physics 2015-03-13 Marco Bochicchio

The space of ${\cal N}=4$ supersymmetric Yang-Mills theories exhibits an intricate structure of global one-form symmetries and $SL(2,\mathbb{Z})$ duality orbits. In this paper we study this structure from the point of view of the…

High Energy Physics - Theory · Physics 2022-11-30 Oren Bergman , Shinji Hirano

We investigate the algebra generated by the topological Wilson loop operators in WZW models. Wilson loops describe the nontrivial fixed points of the boundary renormalization group flows triggered by Kondo perturbations. Their enveloping…

High Energy Physics - Theory · Physics 2015-05-13 Samuel Monnier

We compute the large N limit of Wilson loop expectation values for a broad class of N=2 supersymmetric gauge theories defined on a general class of background three-manifolds M_3, diffeomorphic to S^3. We find a simple closed formula which…

High Energy Physics - Theory · Physics 2015-06-19 Daniel Farquet , James Sparks

We study extended objects in the gravity dual of the N=1 beta-deformation of N=4 Super Yang-Mills theory. We identify probe brane configurations corresponding to giant gravitons and Wilson loops. In particular we identify a new class of…

High Energy Physics - Theory · Physics 2010-10-27 Emiliano Imeroni , Asad Naqvi

We study three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories on $\mathcal{M}_{g,p}$, an oriented circle bundle of degree $p$ over a closed Riemann surface, $\Sigma_g$. We compute the $\mathcal{M}_{g,p}$ supersymmetric partition…

High Energy Physics - Theory · Physics 2017-04-05 Cyril Closset , Heeyeon Kim , Brian Willett

We present two new families of Wilson loop operators in N= 6 supersymmetric Chern-Simons theory. The first one is defined for an arbitrary contour on the three dimensional space and it resembles the Zarembo's construction in N=4 SYM. The…

High Energy Physics - Theory · Physics 2015-06-11 V. Cardinali , L. Griguolo , G. Martelloni , D. Seminara

It is well-known that the expectation values of null polygonal Wilson loops computed in planar \(\mathcal{N}=4\) super Yang-Mills theory are dual to MHV amplitudes in that theory, and moreover that the duality can be extended to higher…

High Energy Physics - Theory · Physics 2025-12-16 James Drummond , Ömer Gürdoğan , Matthew Rochford , Rowan Wright

Via a challenging field-theory computation, we confirm a supergravity prediction for the non-supersymmetric D3-D7 probe-brane system with probe geometry AdS_4 x S^2 x S^2, stabilized by fluxes. Supergravity predicts, in a certain…

High Energy Physics - Theory · Physics 2019-01-14 Aleix Gimenez Grau , Charlotte Kristjansen , Matthias Volk , Matthias Wilhelm

Wilson loops with lightlike polygonal contours have been conjectured to be equivalent to MHV scattering amplitudes in N=4 super Yang-Mills. We compute such Wilson loops for special polygonal contours at two loops in perturbation theory.…

High Energy Physics - Theory · Physics 2010-06-29 Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Gabriele Travaglini

The large-N limit of the expectation values of the Wilson loops corresponding to two-dimensional U(N) Yang-Mills and generalized Yang-Mills theories on a sphere are studied. The behavior of the expectation values of the Wilson loops both…

High Energy Physics - Theory · Physics 2008-11-26 M. Khorrami , M. Alimohammadi

We show that appropriately supersymmetrized smooth Maldacena-Wilson loop operators in N=4 super Yang-Mills theory are invariant under a Yangian symmetry Y[psu(2,2|4)] built upon the manifest superconformal symmetry algebra of the theory.…

High Energy Physics - Theory · Physics 2015-06-17 Dennis Muller , Hagen Munkler , Jan Plefka , Jonas Pollok , Konstantin Zarembo

We further analyze a recent perturbative two-loop calculation of the expectation value of two axi-symmetric circular Maldacena-Wilson loops in N=4 gauge theory. Firstly, it is demonstrated how to adapt the previous calculation of…

High Energy Physics - Theory · Physics 2009-11-07 Gleb Arutyunov , Jan Plefka , Matthias Staudacher

We extend Douglas' solution of the problem of finding minimal surfaces to anti-de Sitter space. The case of a circle as a boundary contour is elaborated. We discuss applications to ${\cal N}=4$ super Yang-Mills: a circular Wilson loop and…

High Energy Physics - Theory · Physics 2012-03-07 Jan Ambjorn , Yuri Makeenko