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Surface operators are nonlocal probes of gauge theories capable of distinguishing phases that are not discernible by the classic Wilson-'t Hooft criterion. We prove that the correlation function of a surface operator with a chiral primary…

High Energy Physics - Theory · Physics 2024-06-14 Changha Choi , Jaume Gomis , Raquel Izquierdo García

We study operators in four-dimensional gauge theories which are localized on a straight line, create electric and magnetic flux, and in the UV limit break the conformal invariance in the minimal possible way. We call them Wilson-'t Hooft…

High Energy Physics - Theory · Physics 2009-11-11 Anton Kapustin

We compute by supersymmetric localization the expectation values of half-BPS 't Hooft line operators in $\mathcal{N}=2$ $U(N)$, $SO(N)$ and $USp(N)$ gauge theories on $S^1 \times \mathbb{R}^3$ with an $\Omega$-deformation. We evaluate the…

High Energy Physics - Theory · Physics 2021-05-12 Hirotaka Hayashi , Takuya Okuda , Yutaka Yoshida

In this paper we study surface operators in N=4 supersymmetric Yang-Mills theory. We compute surface operator observables, such as the expectation value of surface operators, the correlation function of surface operators with local…

High Energy Physics - Theory · Physics 2014-11-18 Nadav Drukker , Jaume Gomis , Shunji Matsuura

In this paper we continue the study of the superconformal index of four-dimensional $\mathcal{N}=2$ theories of class $\mathcal{S}$ in the presence of surface defects. Our main result is the construction of an algebra of difference…

High Energy Physics - Theory · Physics 2014-10-16 Mathew Bullimore , Martin Fluder , Lotte Hollands , Paul Richmond

We perform SUSY localization for Coulomb branch operators of 3d $\mathcal{N}=4$ gauge theories in $\mathbb{R}^3$ with $\Omega$-deformation. For the dressed monopole operators whose expectation values do not involve non-perturbative…

High Energy Physics - Theory · Physics 2023-01-04 Takuya Okuda , Yutaka Yoshida

We study half-BPS surface operators in four dimensional N=2 SU(N) gauge theories, and analyze their low-energy effective action on the four dimensional Coulomb branch using equivariant localization. We also study surface operators as…

High Energy Physics - Theory · Physics 2019-05-01 S. K. Ashok , S. Ballav , M. Billo' , E. Dell'Aquila , M. Frau , V. Gupta , R. R. John , A. Lerda

We construct smooth asymptotically AdS_5xS^5 solutions of Type IIB supergravity corresponding to all the half-BPS surface operators in N=4 SYM. All the parameters labeling a half-BPS surface operator are identified in the corresponding…

High Energy Physics - Theory · Physics 2009-11-13 Jaume Gomis , Shunji Matsuura

We revisit the localization computation of the expectation values of 't Hooft operators in $\mathcal{N}=2^*$ SU(N) theory on $\mathbb{R}^3 \times S^1$. We show that the part of the answer arising from "monopole bubbling" on $\mathbb{R}^3$…

High Energy Physics - Theory · Physics 2018-09-26 T. Daniel Brennan , Anindya Dey , Gregory W. Moore

We perform an exact localization calculation for the expectation values of Wilson-'t Hooft line operators in N=2 gauge theories on S^1xR^3. The expectation values are naturally expressed in terms of the complexified Fenchel-Nielsen…

High Energy Physics - Theory · Physics 2016-03-30 Yuto Ito , Takuya Okuda , Masato Taki

We study the dual gravity description of supersymmetric Wilson loops whose expectation value is unity. They are described by calibrated surfaces that end on the boundary of anti de-Sitter space and are pseudo-holomorphic with respect to an…

High Energy Physics - Theory · Physics 2009-11-11 A. Dymarsky , S. Gubser , Z. Guralnik , J. Maldacena

We continue our program initiated in [arXiv:0912.4261] to consider supersymmetric surface operators in a topologically-twisted N=2 pure SU(2) gauge theory, and apply them to the study of four-manifolds and related invariants. Elegant…

High Energy Physics - Theory · Physics 2012-02-10 Meng-Chwan Tan

We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d $\mathcal{N}=2$ superconformal ${\rm SU}(N)$ YM theory with hypermultiplets in the symmetric and antisymmetric representations…

High Energy Physics - Theory · Physics 2023-10-06 Nikolay Bobev , Pieter-Jan De Smet , Xuao Zhang

Recently, a duality between Liouville theory and four dimensional N=2 gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theory, surface operators and line operators, under this…

High Energy Physics - Theory · Physics 2010-03-02 Luis F. Alday , Davide Gaiotto , Sergei Gukov , Yuji Tachikawa , Herman Verlinde

This is the sixth article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J.Teschner. It is discussed how to use localisation techniques for the calculation of expectation values of Wilson and 't Hooft…

High Energy Physics - Theory · Physics 2014-12-31 Takuya Okuda

We study surface and line operators in the GL-twisted N=4 gauge theory in four dimensions. Their properties depend on the parameter t which determines the BRST operator of theory. For t=i we propose a complete description of the 2-category…

High Energy Physics - Theory · Physics 2010-02-04 Anton Kapustin , Kevin Setter , Ketan Vyas

We present a systematic analysis of the N=6 superspace constraints in three space-time dimensions. The general coupling between vector and scalar supermultiplets is encoded in an SU(4) tensor $W^i_j$ which is a function of the matter fields…

High Energy Physics - Theory · Physics 2010-10-28 Henning Samtleben , Robert Wimmer

We study half-BPS surface operators in N=2supersymmetric asymptotically conformal gauge theories in four dimensions with SU(N) gauge group and 2N fundamental flavours using localization methods and coupled 2d/4d quiver gauge theories. We…

High Energy Physics - Theory · Physics 2019-08-09 Sujay K. Ashok , Sourav Ballav , Marialuisa Frau , Renjan Rajan John

Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each…

High Energy Physics - Theory · Physics 2020-10-26 Christoph F. Uhlemann

We consider a topologically twisted maximally supersymmetric Yang-Mills theory on a four-manifold of the form $V = W \times {\mathbb R}_+$. 't Hooft disorder operators localized in the boundary component at finite distance of $V$ are…

High Energy Physics - Theory · Physics 2013-05-29 Måns Henningson
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