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In this contribution to the review on localization in gauge theories we investigate the matrix models derived from localizing N=1 super Yang-Mills on S^5. We consider the large-N limit and attempt to solve the matrix model by a saddle-point…

高能物理 - 理论 · 物理学 2017-10-25 Joseph A. Minahan

We study AdS$_{7}$/CFT$_{6}$ correspondence between M-theory on AdS$_{7} \times S^{4}$ and the 6D $\mathcal{N} = (2,0)$ superconformal field theory. In particular we focus on Wilson surfaces. We use the conjecture that the (2,0) theory…

高能物理 - 理论 · 物理学 2014-07-28 Hironori Mori , Satoshi Yamaguchi

Using supersymmetric localization we compute the free energy and BPS Wilson loop vacuum expectation values for planar maximally supersymmetric Yang-Mills theory on $S^d$ in the strong coupling limit for $2\leq d<6$. The same calculation can…

高能物理 - 理论 · 物理学 2020-04-22 Nikolay Bobev , Pieter Bomans , Fridrik Freyr Gautason , Joseph A. Minahan , Anton Nedelin

We discuss how D=5 maximally supersymmetric Yang-Mills theory (MSYM) might be used to study or even to define the (2,0) theory in six dimensions. It is known that the compactification of (2,0) theory on a circle leads to D=5 MSYM. A variety…

高能物理 - 理论 · 物理学 2011-02-16 Michael R. Douglas

The 1/2-BPS Wilson loop in $\mathcal{N}=4$ supersymmetric Yang-Mills theory is an important and well-studied example of conformal defect. In particular, much work has been done for the correlation functions of operator insertions on the…

高能物理 - 理论 · 物理学 2020-12-02 Simone Giombi , Jiaqi Jiang , Shota Komatsu

We consider circular non-BPS Maldacena-Wilson loops in five-dimensional supersymmetric Yang-Mills theory (d = 5 SYM) both as macroscopic strings in the D4-brane geometry and directly in gauge theory. We find that in the Dp-brane geometries…

高能物理 - 理论 · 物理学 2012-03-19 Donovan Young

According to the AdS/CFT correspondence, the ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory is studied through its gravity dual whose configuration has two boundaries at the opposite sides of the fifth coordinate. At these boundaries,…

高能物理 - 理论 · 物理学 2014-03-26 Kazuo Ghoroku , Masafumi Ishihara , Akihiro Nakamura

We study 1/2-BPS Wilson loop (WL) operators in maximally supersymmetric Yang-Mills theory (MSYM) on $\mathbf{S}^5$. Their vacuum expectation value (vev) can be computed exactly at large $N$ thanks to supersymmetric localization. The…

高能物理 - 理论 · 物理学 2023-12-21 Friðrik Freyr Gautason , Valentina Giangreco M. Puletti

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

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 reconsider the relation of superconformal indices of superconformal field theories of class S with five-dimensional N=2 supersymmetric Yang-Mills theory compactified on the product space of a round three-sphere and a Riemann surface. We…

高能物理 - 理论 · 物理学 2015-12-09 Teruhiko Kawano , Nariaki Matsumiya

We derive five-dimensional super Yang-Mills theory from mass-deformed ABJM theory by expanding about $S^2$ for large Chern-Simons level $K$. We obtain the Yang-Mills coupling constant $g_{YM}^2 = 4\pi^2 R/K$. If we consider $S^3/{\mb{Z}_K}$…

高能物理 - 理论 · 物理学 2015-05-20 Andreas Gustavsson

By using supermanifold techniques we prove a generalization of the localization formula in equivariant cohomology which is suitable for studying supersymmetric Yang-Mills theories in terms of ADHM data. With these techniques one can compute…

数学物理 · 物理学 2010-04-05 Ugo Bruzzo , Francesco Fucito

N=2* gauge theory in four space-time dimensions arises as a deformation of the parent N=4 supersymmetric Yang-Mill theory under which its hypermultiplet acquires a mass. This theory, on the one hand, has a known supergravity dual and on the…

高能物理 - 理论 · 物理学 2015-06-12 Alex Buchel , Jorge G. Russo , Konstantin Zarembo

${\cal N} = 4$ Supersymmetric Yang-Mills (SYM) theory can be defined on a half-space with a variety of boundary conditions preserving scale invariance and half of the original supersymmetry; more general theories with the same symmetry can…

高能物理 - 理论 · 物理学 2021-03-17 Mark Van Raamsdonk , Christopher Waddell

We study the behavior of the Wilson loop in the (5+1)-dimensional supersymmetric Yang-Mills theory with the presence of the solitonic object. Using the dual string description of the Yang-Mills theory that is given by the D1/D5 system, we…

高能物理 - 理论 · 物理学 2009-11-07 Hidenori Takahashi , Tadahito Nakajima , Kenji Suzuki

We use supersymmetric localization to study probes of four dimensional Lagrangian N=2 superconformal field theories. We first derive a unique equation for the eigenvalue density of these theories. We observe that these theories have a…

高能物理 - 理论 · 物理学 2016-03-23 Bartomeu Fiol , Blai Garolera , Genis Torrents

We localize the four-dimensional N=4 super Yang-Mills theory on a four-sphere to the two-dimensional constrained Hitchin/Higgs-Yang-Mills (cHYM) theory on a two-sphere S^2. We show that expectation values of certain 1/8 BPS supersymmetric…

高能物理 - 理论 · 物理学 2015-05-13 Vasily Pestun

We study 5d N=2 maximally supersymmetric Yang-Mills theory with a gauge group G on S^2 x M_3, where M_3 is a 3-manifold. By explicit localization computation we show that the path-integral of the 5d N=2 theory reduces to that of the 3d G_C…

高能物理 - 理论 · 物理学 2014-07-02 Sungjay Lee , Masahito Yamazaki

We use a D5-brane with electric flux in AdS_5 x S^5 background to calculate the circular Wilson loop of anti-symmetric representation in N=4 super Yang-Mills theory in 4 dimensions. The result agrees with the Gaussian matrix model…

高能物理 - 理论 · 物理学 2009-11-11 Satoshi Yamaguchi
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