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A non-trivial consequence of the super-correlator/super-amplitude duality is that the integrand of the four-point correlation function of stress-tensor multiplets in planar N=4 super Yang-Mills contains a certain combination of n-point…

High Energy Physics - Theory · Physics 2018-08-01 Paul Heslop , Vuong-Viet Tran

We consider four-point correlation functions of protected single-trace scalar operators in planar N = 4 supersymmetric Yang-Mills (SYM). We conjecture that all loop corrections derive from an integrand which enjoys a ten-dimensional…

High Energy Physics - Theory · Physics 2022-04-13 Simon Caron-Huot , Frank Coronado

We study the off-shell structure of the two-loop effective action in $6D, {\cal N}=(1,1)$ supersymmetric gauge theories formulated in ${\cal N}=(1,0)$ harmonic superspace. The off-shell effective action involving all fields of $6D, {\cal…

High Energy Physics - Theory · Physics 2023-05-31 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We study non-planar correlators in ${\cal N}=4$ super-Yang-Mills in Mellin space. We focus in the stress tensor four-point correlator to order $1/N^4$ and in a strong coupling expansion. This can be regarded as the genus-one four-point…

High Energy Physics - Theory · Physics 2019-01-01 Luis F. Alday

The evaluation of field theoretic correlators at strong couplings is especially interesting in the light of recently discovered string/field theory correspondences. We present a calculation of the stress-tensor correlator in N=1 SYM theory…

High Energy Physics - Theory · Physics 2009-11-07 U. Trittmann

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 are still learning intriguing new facets of the string theory motivated Kawai-Lewellen-Tye (KLT) relations linking products of amplitudes in Yang-Mills theories and amplitudes in gravity. This is very clearly displayed in computations of…

High Energy Physics - Theory · Physics 2010-03-12 N. E. J. Bjerrum-Bohr , Pierre Vanhove

We use unitarity techniques to compute the two-loop non-planar corrections to the Sudakov form factor and the four-point amplitude in ABJM theory. We start by reconstructing non-planar integrals from two-particle cuts in three dimensions.…

High Energy Physics - Theory · Physics 2014-07-09 Lorenzo Bianchi , Marco S. Bianchi

In an earlier paper, we constructed the genus-two amplitudes for five external massless states in Type II and Heterotic string theory, and showed that the alpha' expansion of the Type II amplitude reproduces the corresponding supergravity…

High Energy Physics - Theory · Physics 2022-07-26 Eric D'Hoker , Carlos R. Mafra , Boris Pioline , Oliver Schlotterer

In this paper, we explore supersymmetric and 2d analogs of the SYK model. We begin by working out a basis of (super)conformal eigenfunctions appropriate for expanding a four-point function. We use this to clarify some details of the 1d…

High Energy Physics - Theory · Physics 2017-09-20 Jeff Murugan , Douglas Stanford , Edward Witten

In this work we clarify some properties of the one-loop IR divergences in non-Abelian gauge field theories on non-commutative 4-dimensional Moyal space. Additionally, we derive the tree-level Slavnov-Taylor identities relating the two,…

High Energy Physics - Theory · Physics 2013-06-17 Daniel N. Blaschke , Harald Grosse , Jean-Christophe Wallet

Supersymmetry and R-symmetry Ward identities relate on-shell amplitudes in a supersymmetric field theory. We solve these Ward identities for (Next-to)^K MHV amplitudes of the maximally supersymmetric N=4 and N=8 theories. The resulting…

High Energy Physics - Theory · Physics 2010-11-08 Henriette Elvang , Daniel Z. Freedman , Michael Kiermaier

We identify novel structure in newly computed multi-loop amplitudes and quantum actions for even-point effective field theories, including both the nonlinear sigma model (NLSM) and double-copy gauge theories such as Born-Infeld and its…

High Energy Physics - Theory · Physics 2023-08-01 John Joseph M. Carrasco , Nicolas H. Pavao

We initiate an exploration of on-shell functions in $\mathcal{N}=4$ SYM beyond the planar limit by providing compact, combinatorial expressions for all leading singularities of MHV amplitudes and showing that they can always be expressed as…

High Energy Physics - Theory · Physics 2014-12-31 Nima Arkani-Hamed , Jacob L. Bourjaily , Freddy Cachazo , Alexander Postnikov , Jaroslav Trnka

Building on the covariant supergraph techniques in 4D N = 2 harmonic superspace, we develop a manifestly 5D N = 1 supersymmetric and gauge covariant formalism to compute the one-loop effective action for a hypermultiplet coupled to a…

High Energy Physics - Theory · Physics 2008-11-26 Sergei M. Kuzenko

We study $N=5$ gauged supergravity in three dimensions with compact, non-compact and non-semisimple gauge groups. The theory under consideration is of Chern-Simons type with $USp(4,k)/USp(4)\times USp(k)$ scalar manifold. We classify…

High Energy Physics - Theory · Physics 2014-01-30 Auttakit Chatrabhuti , Parinya Karndumri , Boonpithak Ngamwatthanakul

In this short note, we present two results about KLT relations discussed in recent several papers. Our first result is the re-derivation of Mason-Skinner MHV amplitude by applying the S_{n-3} permutation symmetric KLT relations directly to…

High Energy Physics - Theory · Physics 2010-11-16 Bo Feng , Song He , Rijun Huang , Yin Jia

We present an alternative N=2 supergravity multiplet coupled to n copies of vector multiplets and n' copies of hypermultiplets in five dimensions. Our supergravity multiplet contains a single antisymmetric tensor and a dilaton, which are…

High Energy Physics - Theory · Physics 2014-11-18 Hitoshi Nishino , Subhash Rajpoot

We consider, in the harmonic superspace approach, the six-dimensional N=(1,0) supersymmetric model of abelian gauge multiplet coupled to a hypermultiplet. The superficial degree of divergence is evaluated and the structure of possible…

High Energy Physics - Theory · Physics 2016-12-21 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We present a new approach to computing energy-energy correlations in gauge theories that exploits their relation to correlation functions and bypasses the use of scattering amplitudes. We illustrate its power by calculating energy-energy…

High Energy Physics - Theory · Physics 2014-02-26 A. V. Belitsky , S. Hohenegger , G. P. Korchemsky , E. Sokatchev , A. Zhiboedov