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The integrability of string theory in AdS_5 x S^5 and of the dilatation operator of N=4 super-Yang-Mills theory has been used to propose an exact solution to the spectral problem in these theories. Weak coupling perturbation theory both in…

High Energy Physics - Theory · Physics 2013-08-23 R. W. McKeown , R. Roiban

We consider 5d Yang-Mills-Higgs theory with a compact ADE-type gauge group $G$ and one adjoint scalar field on $\mathbb{R}^{3,1}\times\mathbb{R}_+$, where $\mathbb{R}_+=[0,\infty)$ is the half-line. The maximally supersymmetric extension of…

High Energy Physics - Theory · Physics 2018-09-25 Olaf Lechtenfeld , Alexander D. Popov

Motivated by a desire to find a useful 2d Lorentz-invariant reformulation of the AdS_5 x S^5 superstring world-sheet theory in terms of physical degrees of freedom we construct the Pohlmeyer-reduced version of the corresponding sigma model.…

High Energy Physics - Theory · Physics 2008-11-26 M. Grigoriev , A. A. Tseytlin

We construct nearly topological Yang-Mills theories on eight dimensional manifolds with a special holonomy group. These manifolds are the Joyce manifold with $Spin(7)$ holonomy and the Calabi-Yau manifold with SU(4) holonomy. An invariant…

High Energy Physics - Theory · Physics 2016-11-03 L. Baulieu , H. Kanno , I. M. Singer

Consequences of a strong version of the AdS/CFT correspondence for extremely stringy physics are examined. In particular, properties of N = 4 supersymmetric Yang-Mills theory are used to extract results about interacting tensionless strings…

High Energy Physics - Theory · Physics 2009-11-07 Bo Sundborg

We compute the leading finite-size effects on the normalized structure constants in semiclassical three-point correlation functions of two finite-size giant magnon string states and three different types of "light" states - primary scalar…

High Energy Physics - Theory · Physics 2013-08-09 Plamen Bozhilov

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,…

High Energy Physics - Theory · Physics 2014-03-26 Kazuo Ghoroku , Masafumi Ishihara , Akihiro Nakamura

We examine whether the free energy of N=4 super Yang-Mills theory (SYM) in four dimensions corresponds to the partition function of the AdS_5 x S^5 superstring when corresponding operators are inserted into both theories. We obtain a formal…

High Energy Physics - Theory · Physics 2008-11-26 Matsuo Sato

We compute form factors in planar N=4 Super Yang-Mills at strong coupling. Namely we consider the overlap between an operator insertion and 2n gluons. Through the gauge/string duality these are given by minimal surfaces in AdS space. The…

High Energy Physics - Theory · Physics 2010-11-26 Juan Maldacena , Alexander Zhiboedov

A new topological field theory is constructed, which is characterized by cubic interactions similar to those of non-abelian Chern-Simons field theories, but still retains the simplicity of the abelian case. The perturbative expansion of…

Mathematical Physics · Physics 2007-05-23 Franco Ferrari

Supersymmetric pure Yang-Mills theory is formulated with a local, i.e. space-time dependent, complex coupling in superspace. Super-Yang-Mills theories with local coupling have an anomaly, which has been first investigated in the Wess-Zumino…

High Energy Physics - Theory · Physics 2010-04-05 E. Kraus , C. Rupp , K. Sibold

We find classical open string solutions in the $AdS_5\times S^5/\Zop_2$ orientifold with angular momenta along the five-sphere. The energy of these solutions has an expansion in integral powers of $\lambda$ with sigma-model corrections…

High Energy Physics - Theory · Physics 2009-11-10 B. Stefanski

We initiate the study of flux tubes in confining gauge theories placed in a rigid AdS background, which serves as an infrared regulator. Varying the AdS radius from large to small allows us to interpolate between the flat space confining…

High Energy Physics - Theory · Physics 2026-02-05 Barak Gabai , Victor Gorbenko , Jiaxin Qiao

We study constant dilaton supersymmetric solutions of type IIB Supergravity with 5-form and 3-form flux with isometry group U(1) $\times$$Z_3$. Some of these solutions correspond to marginal perturbations of N=4 Yang-Mills. We find one line…

High Energy Physics - Theory · Physics 2007-05-23 Ansar Fayyazuddin , Subir Mukhopadhyay

Five-dimensional $\mathcal{N}=1$ supersymmetric Yang-Mills theories are investigated from the viewpoint of random plane partitions. It is shown that random plane partitions are factorizable as q-deformed random partitions so that they admit…

High Energy Physics - Theory · Physics 2009-11-10 Takashi Maeda , Toshio Nakatsu , Kanehisa Takasaki , Takeshi Tamakoshi

The Yang-Baxter $\sigma$-model is a systematic way to generate integrable deformations of AdS$_5\times$S$^5$. We recast the deformations as seen by open strings, where the metric is undeformed AdS$_5\times$S$^5$ with constant string…

High Energy Physics - Theory · Physics 2017-05-31 Thiago Araujo , Ilya Bakhmatov , Eoin Ó Colgáin , Jun-ichi Sakamoto , Mohammad M. Sheikh-Jabbari , Kentaroh Yoshida

We derive a topological action that describes the confining phase of (Super-)Yang-Mills theories with gauge group $SU(N)$, similar to the work recently carried out by Seiberg and collaborators. It encodes all the Aharonov-Bohm phases of the…

High Energy Physics - Theory · Physics 2014-11-19 Markus Dierigl , Alexander Pritzel

This paper gives a construction, using heat kernels, of differential forms on the moduli space of metrised ribbon graphs, or equivalently on the moduli space of Riemann surfaces with boundary. The construction depends on a manifold with a…

Quantum Algebra · Mathematics 2014-11-11 Kevin J. Costello

We consider the Super Yang--Mills/spin system map to construct the SU(2) spin bit model at the level of two loops in Yang--Mills perturbation theory. The model describes a spin system with chaining interaction. In the large $N$ limit the…

High Energy Physics - Theory · Physics 2009-11-10 S. Bellucci , P. -Y. Casteill , A. Marrani , C. Sochichiu

We consider N=1, D=4 superconformal U(N)^{pq} Yang-Mills theories dual to AdS_5xS^5/Z_pxZ_q orbifolds. We construct the dilatation operator of this superconformal gauge theory at one-loop planar level. We demonstrate that a specific sector…

High Energy Physics - Theory · Physics 2009-11-11 Darius Sadri , M. M. Sheikh-Jabbari