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Related papers: Celestial Supersymmetry

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We consider Yang-Mills theory with the coupling constant and theta angle determined by the vacuum expectation values of a dynamical (complex) dilaton field. We discuss the tree-level N-gluon MHV scattering amplitudes in the presence of a…

High Energy Physics - Theory · Physics 2022-12-14 Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We elaborate on the proposal of flat holography in which four-dimensional physics is encoded in two-dimensional celestial conformal field theory (CCFT). The symmetry underlying CCFT is the extended BMS symmetry of (asymptotically) flat…

High Energy Physics - Theory · Physics 2020-04-22 Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We study two-dimensional celestial conformal field theory describing four-dimensional ${\cal N}=1$ supergravity/Yang-Mills systems and show that the underlying symmetry is a supersymmetric generalization of BMS symmetry. We construct…

High Energy Physics - Theory · Physics 2020-10-28 Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

Celestial amplitude is a new reformulation of momentum space scattering amplitude and offers a promising way for flat holography. In this paper, we study the celestial amplitude in $\mathcal N=4$ Super-Yang-Mills (SYM) theory aiming at…

High Energy Physics - Theory · Physics 2021-09-01 Hongliang Jiang

In celestial holography, four-dimensional scattering amplitudes are considered as two-dimensional conformal correlators of a putative two-dimensional celestial conformal field theory (CCFT). The simplest way of converting momentum space…

High Energy Physics - Theory · Physics 2022-09-07 Wei Fan , Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

Both celestial and momentum space amplitudes in four dimensions are beset by divergences resulting from spacetime translation and sometimes scale invariance. In this paper we consider a (linearized) marginal deformation of the celestial CFT…

High Energy Physics - Theory · Physics 2022-12-14 Eduardo Casali , Walker Melton , Andrew Strominger

We provide a concrete link between celestial amplitudes and cosmological correlators. We first construct a map from quantum field theories (QFTs) in $(D+2)$-dimensional Euclidean space to theories on the $(D+1)$-dimensional sphere, through…

High Energy Physics - Theory · Physics 2025-11-10 Hideo Furugori , Naoki Ogawa , Sotaro Sugishita , Takahiro Waki

Continuing our program of deriving aspects of celestial holography from string theory, we extend the Roiban-Spradlin-Volovich-Witten (RSVW) formalism to celestial amplitudes. We reformulate the tree-level maximally-helicity-violating (MHV)…

High Energy Physics - Theory · Physics 2025-01-30 Igor Mol

We employ the light-cone formalism to construct in the (super) Yang-Mills theories in the multi-color limit the one-loop dilatation operator acting on single trace products of chiral superfields separated by light-like distances. In the N=4…

High Energy Physics - Theory · Physics 2010-04-05 A. V. Belitsky , S. E. Derkachov , G. P. Korchemsky , A. N. Manashov

Marginal operators in a d-dimensional conformal field theory (CFT), those with conformal dimension $\Delta=d$, give us information about the space of related theories. This can be incredibly useful when trying to develop an intrinsic…

High Energy Physics - Theory · Physics 2025-07-22 Sruthi A. Narayanan

We start by observing that the light-ray operators featured in the conformal collider literature are celestial primaries. This allows us to rephrase the corresponding 4D CFT correlators as probing a conformally soft matter sector of the 2D…

High Energy Physics - Theory · Physics 2023-03-22 Yangrui Hu , Sabrina Pasterski

We study celestial amplitudes in (super) Yang-Mills theory using a parameterisation of the spinor helicity variables where their overall phase is not fixed by the little group action. In this approach the spin constraint $h-\bar{h}=J$ for…

High Energy Physics - Theory · Physics 2021-10-26 Andreas Brandhuber , Graham R. Brown , Joshua Gowdy , Bill Spence , Gabriele Travaglini

We discuss the properties of recently constructed "single-valued" celestial four-gluon amplitudes. We show that the amplitude factorizes into the "current" part and the "scalar" part. The current factor is given by the group-dependent part…

High Energy Physics - Theory · Physics 2022-10-19 Wei Fan , Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We propose a SymTFT for 4d $U(N)$ Yang-Mills theory and its variants. We show that the SymTFT reproduces the structure of the global one-form symmetry in these theories. We consider the holographic embedding of this SymTFT, and observe that…

High Energy Physics - Theory · Physics 2025-08-27 Oren Bergman , Eduardo Garcia-Valdecasas , Francesco Mignosa , Diego Rodriguez-Gomez

Certain classes of supersymmetric gauge theories, including the well known N=4 supersymmetric Yang-Mills theory, that takes part in the AdS/CFT correspondence, can be formulated on a Euclidean spacetime lattice using the techniques of exact…

High Energy Physics - Lattice · Physics 2014-10-01 Anosh Joseph

Assuming the existence of crossing symmetric celestial OPE, we propose a method to reconstruct four-point massless scattering amplitudes in the framework of celestial holography. This method relies only on CFT techniques and a remarkable…

High Energy Physics - Theory · Physics 2025-03-28 Reiko Liu , Wen-Jie Ma

We study supersymmetric quantum mechanics on the moduli space of Yang-Mills instantons on R^2 x T^2 and its application to the discrete light-cone quantisation (DLCQ) of N=4 SUSY Yang-Mills. In the presence of a target space magnetic field,…

High Energy Physics - Theory · Physics 2014-12-18 Nick Dorey , Andrew Singleton

We study the large-charge sector of $\mathcal{N}=4$ super Yang-Mills theory (SYM) with $SU(N)$ gauge group by constructing a special class of half-BPS heavy operators, termed "canonical operators". Such operators exhibit remarkable…

High Energy Physics - Theory · Physics 2025-04-15 Augustus Brown , Francesco Galvagno , Alba Grassi , Cristoforo Iossa , Congkao Wen

We study the celestial CFT dual to theories with bulk supersymmetry. The boundary theory realizes supersymmetry in the spirit of the Green-Schwarz superstring: there is manifest 4d super-Poincar\'e symmetry, but no 2d superconformal…

High Energy Physics - Theory · Physics 2025-07-16 Adam Tropper

Self-dual Yang-Mills theory admits an underlying infinite dimensional symmetry algebra, which has been obtained from mode expansion of Mellin transformed 4d scattering amplitudes and separately, Koszul duality on twistor space. In this…

High Energy Physics - Theory · Physics 2023-12-04 Wei Bu , Sean Seet
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