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We study strong-weak coupling duality (S-duality) in N=4 supersymmetric non-Abelian Yang-Mills theories. These theories arise naturally as the low-energy limit of four-dimensional toroidal compactifications of the heterotic string. Firstly,…

High Energy Physics - Theory · Physics 2011-07-19 L. Girardello , A. Giveon , M. Porrati , A. Zaffaroni

We develop a novel bi-harmonic $\mathcal{N}=4$ superspace formulation of the $\mathcal{N}=4$ supersymmetric Yang-Mills theory (SYM) in four dimensions. In this approach, the $\mathcal{N}=4$ SYM superfield constraints are solved in terms of…

High Energy Physics - Theory · Physics 2021-04-21 I. L. Buchbinder , E. A. Ivanov , V. A. Ivanovskiy

We find new, local, non-supersymmetric conformal field theories obtained by relevant deformations of the N=4 super Yang Mills theory in the large $N$ limit. We contruct interpolating supergravity solutions that naturally represent the flow…

High Energy Physics - Theory · Physics 2010-02-03 L. Girardello , M. Petrini , M. Porrati , A. Zaffaroni

We study nonlinear effective field theories (EFTs) with factorially growing perturbative expansions, focusing on a class in which the relative entropy encodes an infinite tower of higher-dimensional operators. Using the resummed relative…

High Energy Physics - Theory · Physics 2026-04-28 Pietro Conzinu , Daiki Ueda

We develop N=4 d=4 bi-harmonic superspace and use it to derive a novel form for the low-energy effective action in N=4 super Yang-Mills theory. We solve the N=4 supergauge constraints in this superspace in terms of analytic superfields.…

High Energy Physics - Theory · Physics 2015-05-28 Dmitry V. Belyaev , Igor B. Samsonov

We identify the effective string scale of noncommutative Yang-Mills theory (NCYM) with the noncommutativity scale through its dual supergravity description. We argue that Newton's force law may be obtained with 4 dimensional NCYM with…

High Energy Physics - Theory · Physics 2009-10-31 N. Ishibashi , S. Iso , H. Kawai , Y. Kitazawa

Recently proposed exceptional field theories (EFTs) making manifest the duality $E_{n(n)}$ symmetry, first observed as nonlinearly realized symmetries of the maximal $d=3,4,...,9$ supergravity ($n=11-d$) and containing 11D and type IIB…

High Energy Physics - Theory · Physics 2017-11-28 Igor Bandos

We use effective string theory to study mesons with large spin $J$ in large $N_c$ QCD as rotating open strings. In the first part of this work, we formulate a consistent effective field theory (EFT) for open spinning strings with light…

High Energy Physics - Theory · Physics 2025-01-15 Gabriel Cuomo , Sergei Dubovsky , Guzmán Hernández-Chifflet , Alexander Monin , Shahrzad Zare

We compute the coefficients of an infinite family of chiral primary operators in the local operator expansion of a circular Wilson loop in N=4 supersymmetric Yang-Mills theory. The computation sums all planar rainbow Feynman graphs. We…

High Energy Physics - Theory · Physics 2009-11-07 Gordon W. Semenoff , K. Zarembo

We compute $1/\lambda$ corrections to the four-point functions of half-BPS operators in $SU(N)$ $\mathcal{N}=4$ super-Yang-Mills theory at large $N$ and large 't Hooft coupling $\lambda=g_\text{YM}^2 N$ using two methods. Firstly, we relate…

High Energy Physics - Theory · Physics 2020-01-29 Damon J. Binder , Shai M. Chester , Silviu S. Pufu , Yifan Wang

We initiate a systematic study of amplitudes with massive external particles on the Coulomb-branch of N=4 super Yang Mills theory: 1) We propose that (multi-)soft-scalar limits of massless amplitudes at the origin of moduli space can be…

High Energy Physics - Theory · Physics 2015-05-27 Nathaniel Craig , Henriette Elvang , Michael Kiermaier , Tracy Slatyer

We review Wilson loops in N=4 supersymmetric Yang-Mills theory with emphasis on the exact results. The implications are discussed in the context of the AdS/CFT correspondence.

High Energy Physics - Theory · Physics 2009-11-07 Gordon W. Semenoff , K. Zarembo

We study (non-renormalizable) five dimensional supersymmetric field theories. The theories are parametrized by quark masses and a gauge coupling. We derive the metric on the Coulomb branch exactly. We use stringy considerations to learn…

High Energy Physics - Theory · Physics 2009-09-15 Nathan Seiberg

We use Pure Spinor String Theory to construct suitable building blocks to arrange the structure of supergravity amplitudes with n-points and at higher loops in a very convenient way. Following Mafra et al. proposal for N=4 super Yang-Mills…

High Energy Physics - Theory · Physics 2011-07-21 P. A. Grassi , L. Sommovigo

The $SU(N)$ Yang-Mills theory compactified on $\mathbb{R}^3 \times S^1_L$ with small $L$ has many merits, for example the long range effective theory is weakly coupled and adopts rich topological structures, making it semi-classically…

High Energy Physics - Theory · Physics 2025-03-04 Baiyang Zhang , Aditya Dhumuntarao

We provide a new construction of superfield collinear twist-$2$ operators as infinite-dimensional, irreducible representations of the collinear superconformal algebra in $\mathcal{N}=1$ superconformal field theories. As an application, we…

High Energy Physics - Theory · Physics 2025-05-06 Giacomo Santoni , Francesco Scardino

We develop a new approach to extracting the physical consequences of S-duality of four-dimensional $\mathcal{N}=4$ super Yang-Mills (SYM) and its string theory dual, based on $SL(2,\mathbb{Z})$ spectral theory. We observe that CFT…

High Energy Physics - Theory · Physics 2022-09-07 Scott Collier , Eric Perlmutter

The large Nc expansion of N=2 supersymmetric Yang-Mills theory with gauge group SU(Nc) has recently been shown to break down at singularities on the moduli space. We conjecture that by taking Nc to infinity and approaching the singularities…

High Energy Physics - Theory · Physics 2009-11-07 Frank Ferrari

We discuss the soft behaviour of open string amplitudes with gluons and massive states in any dimension. Notwithstanding non-minimal couplings of massive higher spin states to gluons, relying on OPE and factorization, we argue that the…

High Energy Physics - Theory · Physics 2015-10-28 Massimo Bianchi , Andrea L. Guerrieri

Various nonsupersymmetric theories at large but finite $N$ are argued to permit light scalars and large hierarchies without fine-tuning. In a dual string description, the hierarchy results from competition between classical and quantum…

High Energy Physics - Theory · Physics 2007-05-23 Matthew J. Strassler