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We consider duality transformations in N=2, d=4 Yang--Mills theory coupled to N=2 supergravity. A symplectic and coordinate covariant framework is established, which allows one to discuss stringy `classical and quantum duality symmetries'…

High Energy Physics - Theory · Physics 2016-09-06 A. Ceresole , R. D'Auria , S. Ferrara , A. Van Proeyen

We couple a recently-established N=1 globally supersymmetric self-dual Yang-Mills multiplet in three dimensions to supergravity. This becomes possible due to our previous result on globally supersymmetric formulation based on a compensator…

High Energy Physics - Theory · Physics 2008-11-26 Roy Montalvo , Hitoshi Nishino , Subhash Rajpoot

The low-energy dynamics of five-dimensional Yang-Mills theories compactified on S^1 can be described by a four-dimensional gauge theory coupled to a scalar field in the adjoint representation of the gauge group. Perturbative calculations…

High Energy Physics - Lattice · Physics 2012-08-10 Luigi Del Debbio , Alistair Hart , Enrico Rinaldi

A self-consistent exposition of the theory of tree-level superamplitudes of the 4d N=4 and 6d N=(1,1) maximally supersymmetric Yang-Mills theories is provided. In 4d we work in non-chiral superspace and construct the superconformal and dual…

High Energy Physics - Theory · Physics 2015-06-19 Jan Plefka , Theodor Schuster , Valentin Verschinin

Supersymmetric localization and Ward identities have been used in the past several years to derive two integral constraints on the four-point function of the stress-tensor multiplet in $\mathcal{N} = 4$ super-Yang-Mills theory. These…

High Energy Physics - Theory · Physics 2026-02-05 Shai M. Chester , Ross Dempsey , Debaditya Pramanik , Silviu S. Pufu

In harmonic superspace, the classical equations of motion of $D=4, N=2$ supersymmetric Yang-Mills theory for Minkowski and Euclidean spaces are analyzed. We study dual superfield representations of equations and subsidiary conditions…

High Energy Physics - Theory · Physics 2007-05-23 B. M. Zupnik

Tensoring two on-shell super Yang-Mills multiplets in dimensions $D\leq 10$ yields an on-shell supergravity multiplet, possibly with additional matter multiplets. Associating a (direct sum of) division algebra(s) $\mathbb{D}$ with each…

High Energy Physics - Theory · Physics 2016-02-02 A. Anastasiou , L. Borsten , M. J. Hughes , S. Nagy

Building on our proposal in arXiv:2405.06629, we present in detail the construction of the extended phase space for Yang-Mills at null infinity, containing the asymptotic symmetries and the charges responsible for sub$^n$-leading soft…

High Energy Physics - Theory · Physics 2024-11-01 Silvia Nagy , Javier Peraza , Giorgio Pizzolo

We describe a new class of supersymmetric string compactifications to 4d Minkowski space. These solutions involve type II strings propagating on (orientifolds of) non Calabi-Yau spaces in the presence of background NS and RR fluxes. The…

High Energy Physics - Theory · Physics 2009-11-07 Shamit Kachru , Michael B. Schulz , Prasanta K. Tripathy , Sandip P. Trivedi

We construct a lattice action for ${\cal N}=4$ super Yang-Mills theory in four dimensions which is local, gauge invariant, free of spectrum doubling and possesses a single exact supersymmetry. Our construction starts from the observation…

High Energy Physics - Lattice · Physics 2009-11-11 Simon Catterall

We present an on-shell graphical framework for superamplitudes in super Yang-Mills theory with arbitrary supersymmetry. Our diagrammatic procedure is derived through manipulations of the full N = 4 superamplitude and illustrated by a number…

High Energy Physics - Theory · Physics 2011-09-27 Mads Sogaard

We revisit the issue of higher-dimensional counterterms for the N=(1,1) supersymmetric Yang-Mills (SYM) theory in six dimensions using the off-shell N=(1,0) and on-shell N=(1,1) harmonic superspace approaches. The second approach is…

High Energy Physics - Theory · Physics 2021-05-17 Guillaume Bossard , Evgeny Ivanov , Andrei Smilga

We study cosmology of the Einstein-Yang-Mills theory in ten dimensions with a quartic term in the Yang-Mills field strength. We obtain analytically a class of cosmological solutions in which the extra dimensions are static and the scale…

High Energy Physics - Theory · Physics 2009-09-08 Hironobu Kihara , Muneto Nitta , Misao Sasaki , Chul-Moon Yoo , Ignacio Zaballa

Superstring theories are the most promising theories for unified description of all fundamental interactions including gravity. However, these theories are formulated consistently only in 10 spacetime dimensions. Therefore, to connect to…

High Energy Physics - Theory · Physics 2016-09-16 Sibasish Banerjee

The supersymmetric descent equations in superspace are discussed by means of the introduction of two operators which allow to decompose the supersymmetric covariant derivatives as BRS commutators.

High Energy Physics - Theory · Physics 2010-02-04 L. C. Q. Vilar , C. A. G. Sasaki , S. P. Sorella

The free energy density of ${\cal N}=4$ supersymmetric Yang-Mills theory in four space-time dimensions is derived through second order in the 't Hooft coupling $\lambda$ at finite temperature using effective-field theory methods. The…

High Energy Physics - Theory · Physics 2022-01-07 Jens O. Andersen , Qianqian Du , Michael Strickland , Ubaid Tantary

We show that the action of residual supersymmetries in holomorphic-topological twists of $N = 2$ theories in three dimensions naturally extends to the action of certain infinite dimensional Lie superalgebras. We demonstrate this in a range…

High Energy Physics - Theory · Physics 2023-10-13 Niklas Garner , Surya Raghavendran , Brian R. Williams

We present the explicit superfield realizations of the hidden $SU(4)$ and $O(5)$ $R$-symmetries in $4D, {\cal N}=4$ and $5D, {\cal N}=2$ supersymmetric Yang-Mills theories in the harmonic superspace approach. The $R$-symmetry…

High Energy Physics - Theory · Physics 2020-05-20 I. L. Buchbinder , E. A. Ivanov , V. A. Ivanovskiy

We derive general low energy dynamics of monopoles and dyons in N=2 and N=4 supersymmetric Yang-Mills theories by utilising a collective coordinate expansion. The resulting new kind of supersymmetric quantum mechanics incorporates the…

High Energy Physics - Theory · Physics 2009-10-31 Jerome P. Gauntlett , Chanju Kim , Kimyeong Lee , Piljin Yi

The four-dimensional topological Yang-Mills theory with two anticommuting charges is naturally formulated on K\"ahler manifolds. By using a superspace approach we clarify the structure of the Faddeev-Popov sector and determine the total…

High Energy Physics - Theory · Physics 2009-10-28 H. D. Dahmen , S. Marculescu , T. Portmann
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