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Tree-level scattering amplitudes for gravitons, gluons and Goldstone particles in any dimensions are strongly constrained by basic principles, and they are intimately related to each other via various relations. We study two types of…

High Energy Physics - Theory · Physics 2022-05-25 Jin Dong , Song He , Linghui Hou

Recently proposed supergravity theories in odd dimensions whose fields are connection one-forms for the minimal supersymmetric extensions of anti-de Sitter gravity are discussed. Two essential ingredients are required for this construction:…

High Energy Physics - Theory · Physics 2011-04-15 Ricardo Troncoso , Jorge Zanelli

We describe generalizations of the manifestly E_{6(6)} covariant formulation of five-dimensional gauged maximal supergravity with regard to the structure of the vector and tensor fields. We indicate how the group-theoretical structures that…

High Energy Physics - Theory · Physics 2015-06-26 Bernard de Wit , Henning Samtleben

We present the harmonic superspace formulation of $\mathcal{N}=2$ gravitino multiplet, the simplest $\mathcal{N}=2$ half-integer spin gauge supermultiplet. It is shown that, quite similar to other $\mathcal{N}=2$ gauge multiplets, the…

High Energy Physics - Theory · Physics 2025-09-03 Evgeny Ivanov , Nikita Zaigraev

Using the hybrid formalism with manifest $N=1$ $d=4$ spacetime supersymmetry, we construct the quadratic term in the heterotic superstring field theory action. As in open superstring field theory using the hybrid formalism, the heterotic…

High Energy Physics - Theory · Physics 2025-02-26 Nathan Berkovits , Ulisses M. Portugal

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

The monodromy relations in string theory provide a powerful and elegant formalism to understand some of the deepest properties of tree-level field theory amplitudes, like the color-kinematics duality. This duality has been instrumental in…

High Energy Physics - Theory · Physics 2017-07-24 Piotr Tourkine , Pierre Vanhove

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

The modular forms and weighted densities over the 1-dimensional manifold $M$ are transformed ``alike" under the group of linear fractional changes of coordinates, so the classifications of differential operators between spaces of (A)…

Representation Theory · Mathematics 2026-04-27 V. Bovdi , D. Leites

The modified measure theories recommend themselves as a good possibility to go beyond the standard formulation to solve yet unsolved problems. The Galileon measure that is constructed in the way to be invariant under the Galileon shift…

High Energy Physics - Theory · Physics 2018-10-22 T. O. Vulfs , E. I. Guendelman

The locally supersymmetric extension of the most general gravity theory in three dimensions leading to first order field equations for the vielbein and the spin connection is constructed. Apart from the Einstein-Hilbert term with…

High Energy Physics - Theory · Physics 2008-11-26 Alex Giacomini , Ricardo Troncoso , Steven Willison

We review the derivation and the basic properties of the perturbative prepotential in N=2 compactifications of the heterotic superstring. We discuss the structure of the perturbative monodromy group and the embedding of rigidly…

High Energy Physics - Theory · Physics 2009-10-28 I. Antoniadis , S. Ferrara , E. Gava , K. S. Narain , T. R. Taylor

In this paper we propose a new supersymmetric extension of conformal mechanics. The Grassmannian variables that we introduce are the basis of the forms and of the vector-fields built over the symplectic space of the original system. Our…

High Energy Physics - Theory · Physics 2015-06-26 E. Deotto , G. Furlan , E. Gozzi

We present the simplest, string-derivable, supergravity model and discuss its experimental consequences. This model is a new string-inspired flipped $SU(5)$ which unifies at the string scale $M_U=10^{18}\GeV$ due to the introduction of an…

High Energy Physics - Phenomenology · Physics 2009-08-25 J. Lopez , D. Nanopoulos , A. Zichichi

We place bounds on the order of enhanced discrete gauge symmetries that act on massless fields and thus arise at subloci of the moduli space in supergravity theories. We focus on supersymmetric theories with 8 or more supercharges which in…

High Energy Physics - Theory · Physics 2026-04-30 Zihni Kaan Baykara , Markus Dierigl , Hee-Cheol Kim , Cumrun Vafa , Kai Xu

In a way analogous to type IIB supergravity, we give a covariant action for the fermion field supplemented with a constraint which should be imposed on equations of motion, in Berkovits' open superstring field theory. From this action we…

High Energy Physics - Theory · Physics 2010-02-03 Yoji Michishita

We discuss the problem of consistent description of higher spin massive fields coupled to external gravity. As an example we consider massive field of spin 2 in arbitrary gravitational field. Consistency requires the theory to have the same…

High Energy Physics - Theory · Physics 2017-08-23 I. L. Buchbinder , V. D. Pershin

We construct a supersymmetric extension of double field theory that realizes the ten-dimensional Majorana-Weyl local supersymmetry. In terms of a stringy differential geometry we proposed earlier, our action consists of five simple terms --…

High Energy Physics - Theory · Physics 2012-10-19 Imtak Jeon , Kanghoon Lee , Jeong-Hyuck Park

Superstring field theory gives expressions for heterotic and type II string loop amplitudes that are free from ultraviolet and infrared divergences when the number of non-compact space-time dimensions is five or more. We prove the…

High Energy Physics - Theory · Physics 2018-01-17 Ashoke Sen

Two very different formulations of the tree-level S-matrix of N=8 Einstein supergravity in terms of rational maps are known to exist. In both formulations, the computation of a scattering amplitude of n particles in the k R-charge sector…

High Energy Physics - Theory · Physics 2013-01-18 Freddy Cachazo