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Motivated by the standard form of string-theory amplitude, we calculate the field-theory amplitude to complete the higher-derivative terms in type II supergravity theories in their conventional form. We derive explicitly the $ O(\alpha'^3)…

High Energy Physics - Theory · Physics 2018-01-17 Hamid R. Bakhtiarizadeh

In this short note, we propose an algorithm based on the expansions of amplitudes, the dimensional reduction technic and the differential operators, to calculate the tree level scalar-graviton amplitudes with two massive scalars, as well as…

High Energy Physics - Theory · Physics 2026-05-05 Kang Zhou , Guo-Jun Zhou

At the tree level, the maximally helicity violating amplitudes of N gauge bosons in open superstring theory and of N gravitons in supergravity are known to have simple representations in terms of tree graphs. For superstrings, the graphs…

High Energy Physics - Theory · Physics 2015-06-15 Stephan Stieberger , Tomasz R. Taylor

We present a particularly nice D-dimensional graph-based representation of the full color-dressed five-point tree-level gluon amplitude. It possesses the following virtues: 1) it satisfies the color-kinematic correspondence, and thus…

High Energy Physics - Theory · Physics 2011-10-12 Johannes Broedel , John Joseph M. Carrasco

In this letter we derive new expressions for tree-level graviton amplitudes in $\mathcal{N}=8$ supergravity from BCFW recursion relations combined with new types of bonus relations. These bonus relations go beyond the famous $1/z^2$…

High Energy Physics - Theory · Physics 2023-09-13 Shruti Paranjape , Jaroslav Trnka

Explicit expressions for one-loop five supergraviton scattering amplitudes in both type II superstring theories are determined by making use of the pure spinor formalism. The type IIB amplitude can be expressed in terms of a doubling of…

High Energy Physics - Theory · Physics 2015-06-16 Michael B. Green , Carlos R. Mafra , Oliver Schlotterer

Celestial amplitudes may be decomposed as weighted integrals of AdS$_3$-Witten diagrams associated to each leaf of a hyperbolic foliation of spacetime. We show, for the Kleinian three-point MHV amplitude, that each leaf subamplitude is…

High Energy Physics - Theory · Physics 2024-08-26 Walker Melton , Atul Sharma , Andrew Strominger

It was recently shown that the $\mathcal{N}$ = 2 string topological amplitudes in the heterotic weak coupling limit generate a six-dimensional Melvin space, providing a description of the $\Omega$-background in string theory, where string…

High Energy Physics - Theory · Physics 2022-06-08 Carlo Angelantonj , Ignatios Antoniadis , Ioannis Florakis , Hongliang Jiang

We analyze $N=2,1,0$ vacua of type IIB string theory on $K3\times T^2/Z_2$ in presence of three-form fluxes from a four dimensional supergravity viewpoint. The quaternionic geometry of the $K3$ moduli space together with the special…

High Energy Physics - Theory · Physics 2014-11-18 L. Andrianopoli , R. D'Auria , S. Ferrara , M. A. Lledo

Tree-level amplitudes of gauge theories are expressed in a basis of auxiliary amplitudes with only cubic vertices. The vertices in this formalism are explicitly factorized in color and kinematics, clarifying the color-kinematics duality in…

High Energy Physics - Theory · Physics 2015-06-04 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Ricardo Monteiro , Donal O'Connell

We use 4d ambitwistor string theory to derive new worldsheet formulae for tree-level conformal supergravity amplitudes supported on refined scattering equations. Unlike the worldsheet formulae for super-Yang-Mills or supergravity, the…

High Energy Physics - Theory · Physics 2018-07-12 Joseph A. Farrow , Arthur E. Lipstein

Massless type IIB superstring amplitudes are organized according to the number of external states and their ${\mathrm U}(1)$ charge under the R-symmetry of type IIB supergravity. In this work, we analyze the low-energy expansion of one-loop…

High Energy Physics - Theory · Physics 2026-02-24 Emiel Claasen , Mehregan Doroudiani

At tree-level, gravity amplitudes are obtainable directly from gauge theory amplitudes via the Kawai, Lewellen and Tye closed-open string relations. We explain how the unitarity method allows us to use these relations to obtain coefficients…

High Energy Physics - Theory · Physics 2009-11-11 Zvi Bern , N. E. J. Bjerrum-Bohr , David C. Dunbar

In this paper we find various new backgrounds in Type IIB, IIA and M-theory with an $AdS_3$-factor. The solutions are smooth and preserve small amounts of SUSY. These new backgrounds are found by application of non-Abelian T-duality…

High Energy Physics - Theory · Physics 2015-06-11 Yago Bea , Jose D. Edelstein , Georgios Itsios , Karta S. Kooner , Carlos Nunez , Daniel Schofield , J. Anibal Sierra-Garcia

Using relationships between open and closed strings, we present a construction of tree-level scattering amplitudes for gravitons minimally coupled to matter in terms of gauge theory partial amplitudes. In particular, we present examples of…

High Energy Physics - Theory · Physics 2009-10-31 Z. Bern , A. De Freitas , H. L. Wong

We describe a new set of public, self-contained, and versatile computational tools for the investigation, manipulation, and evaluation of tree-level amplitudes in pure (super)Yang-Mills and (super)Gravity, $\phi^p$-scalar field theory, and…

High Energy Physics - Theory · Physics 2024-01-01 Jacob L. Bourjaily

We develop a pure spinor worldline formalism for computing tree-level scattering amplitudes in 11D supergravity. Focusing first on the 4-point amplitude, we demonstrate that our prescription is consistent with BRST symmetry and gauge…

High Energy Physics - Theory · Physics 2025-12-11 Max Guillen , Marcelo dos Santos , Eggon Viana

We analyze scattering amplitudes with one soft external graviton and arbitrary number of other finite energy external states carrying arbitrary mass and spin to sub-subleading order in the momentum of the soft graviton. Our result can be…

High Energy Physics - Theory · Physics 2017-11-22 Alok Laddha , Ashoke Sen

We construct a covariant closed string field theory by extending recent works on the covariant open string field theory in the proper-time gauge. Rewriting the string scattering amplitudes generated by the closed string field theory in…

High Energy Physics - Theory · Physics 2018-02-02 Taejin Lee

We calculate the four-graviton scattering amplitude in Type II superstring theory at one loop up to seventh order in the low-energy expansion through the recently developed iterated integral formalism of Modular Graph Functions (MGFs). The…

High Energy Physics - Theory · Physics 2025-06-05 Emiel Claasen , Mehregan Doroudiani