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Related papers: Color-kinematics dual representations of one-loop …

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We present a systematic method to determine BCJ numerators for one-loop amplitudes that explores the global constraints on the loop momentum dependence. We apply this method to amplitudes in N=4 gauge theory, working out detailed examples…

High Energy Physics - Theory · Physics 2015-06-15 N. Emil J. Bjerrum-Bohr , Tristan Dennen , Ricardo Monteiro , Donal O'Connell

Colored tensor models have recently burst onto the scene as a promising conceptual and computational tool in the investigation of problems of random geometry in dimension three and higher. We present a snapshot of the cutting edge in this…

High Energy Physics - Theory · Physics 2012-04-11 Razvan Gurau , James P. Ryan

Form factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly focused on the…

High Energy Physics - Theory · Physics 2021-05-05 Guanda Lin , Gang Yang

We lay out an approach to derive the closed string dual to the simplest possible gauge theory, a single hermitian matrix integral, in the conventional 't Hooft large $N$ limit. In this first installment of three papers, we propose and…

High Energy Physics - Theory · Physics 2023-03-21 Rajesh Gopakumar , Edward A. Mazenc

We set up a procedure to systematically obtain Compton-like amplitudes in an arbitrary-spin theory, exploiting their factorization properties, and colour-kinematics duality. We furthermore investigate the constraining of Wilson coefficients…

High Energy Physics - Theory · Physics 2025-03-31 Ingrid Vazquez-Holm , Andres Luna

We expose simple and practical relations between the integrated four- and five-point one-loop amplitudes of N >= 4 supergravity and the corresponding (super-)Yang-Mills amplitudes. The link between the amplitudes is simply understood using…

High Energy Physics - Theory · Physics 2013-05-29 Z. Bern , C. Boucher-Veronneau , H. Johansson

We consider a large coupling limit of a Born-Infeld action in a curved background of an arbitrary metric and a constant two form field. Following hep-th/0009061, we go to the Hamiltonian description. The Hamiltonian can be dualized and the…

High Energy Physics - Theory · Physics 2014-11-18 I. Y. Park

We clarify the relation between the vertex operators in type IIB matrix model and superstring. Green-Schwarz light-cone closed superstring theory is obtained from IIB matrix model on two dimensional noncommutative backgrounds. Superstring…

High Energy Physics - Theory · Physics 2009-04-01 Yoshihisa Kitazawa , Satoshi Nagaoka

We establish closed-form enumeration formulas for chromatic feature vectors of 2-trees under the bichromatic triangle constraint. These efficiently computable structural features derive from constrained graph colorings where each triangle…

Data Structures and Algorithms · Computer Science 2025-12-09 J. Allagan , G. Morgan , S. Langley , R. Lopez-Bonilla , V. Deriglazov

Using the double-copy construction of Yang-Mills-Einstein theories formulated in our earlier work, we obtain compact presentations for single-trace Yang-Mills-Einstein tree amplitudes with up to five external gravitons and an arbitrary…

High Energy Physics - Theory · Physics 2017-08-25 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

We investigate $\alpha'$ corrections of bosonic strings in the framework of double field theory. The previously introduced "doubled $\alpha'$-geometry" gives $\alpha'$-deformed gauge transformations arising in the Green-Schwarz anomaly…

High Energy Physics - Theory · Physics 2015-06-22 Olaf Hohm , Barton Zwiebach

The covariant and kappa-symmetric action for superstring in direct product of two flat D=10 N=1 superspaces is presented. It is given by the sum of supersymmetric generalization of two copies of chiral boson actions constructed with the use…

High Energy Physics - Theory · Physics 2015-11-04 Igor Bandos

Considered is the formulation for the superstring action in 6 and 10 dimensions involving supertwistor variables that appropriately generalize 4-dimensional Ferber supertwistors. Equations of motion and kappa-symmetry transformations in…

High Energy Physics - Theory · Physics 2008-11-26 D. V. Uvarov

We show that double field theory arises from the color-kinematic double copy of Yang-Mills theory. A precise double copy prescription for the Yang-Mills action at quadratic and cubic order is provided that yields the double field theory…

High Energy Physics - Theory · Physics 2022-03-02 Felipe Diaz-Jaramillo , Olaf Hohm , Jan Plefka

We analyse the flat space limit of 3-point correlators in momentum space for general conformal field theories in even spacetime dimensions, and show they exhibit a double copy structure similar to that found in odd dimensions. In even…

High Energy Physics - Theory · Physics 2020-06-09 Arthur Lipstein , Paul McFadden

Recent work by Cachazo, He, and Yuan shows that connected prescription residues obey the global identities of $\mathcal{N} = 4$ super-Yang-Mills amplitudes. In particular, they obey the Bern-Carrasco-Johansson (BCJ) amplitude identities.…

High Energy Physics - Theory · Physics 2014-07-16 Sean Litsey , James Stankowicz

The double copy programme relies crucially on the so-called color-kinematics duality which, in turn, is widely believed to descend from a kinematic algebra possessed by gauge theories. In this paper we construct the kinematic algebra of…

High Energy Physics - Theory · Physics 2023-11-08 Roberto Bonezzi , Felipe Diaz-Jaramillo , Silvia Nagy

In type IIB light-cone superstring field theory, the cubic interaction has two pieces: a delta-functional overlap and an operator inserted at the interaction point. In this paper we extend our earlier work hep-th/0204146 by computing the…

High Energy Physics - Theory · Physics 2010-02-03 Marcus Spradlin , Anastasia Volovich

We prove that the scattering equation formalism for Yang-Mills amplitudes can be used to make manifest the theory's color-kinematics duality. This is achieved through a concrete reduction algorithm which renders this duality manifest…

High Energy Physics - Theory · Physics 2016-10-12 N. E. J. Bjerrum-Bohr , Jacob L. Bourjaily , Poul H. Damgaard , Bo Feng

In these lectures, recent progress on multiloop superstring perturbation theory is reviewed. A construction from first principles is given for an unambiguous and slice-independent two-loop superstring measure on moduli space for even spin…

High Energy Physics - Theory · Physics 2007-12-23 Eric D'Hoker , D. H. Phong