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We derive a link representation for all tree amplitudes in N=8 supergravity, from a recent conjecture by Cachazo and Skinner. The new formula explicitly writes amplitudes as contour integrals over constrained link variables, with an…

High Energy Physics - Theory · Physics 2015-06-05 Song He

Associators were introduced by Drinfel'd in as a monodromy representation of a KZ equation. Associators can be briefly described as formal series in two non-commutative variables satisfying three quations. These three equations yield a…

Algebraic Geometry · Mathematics 2011-11-24 Ismaël Soudères

We study the coupling of the closed string to the open string in the topological B-model. These couplings can be viewed as gauge invariant observables in the open string field theory, or as deformations of the differential graded algebra…

High Energy Physics - Theory · Physics 2014-11-18 Christiaan Hofman

We present an algorithm for writing down explicit formulas for all tree amplitudes in N=8 supergravity, obtained from solving the supersymmetric on-shell recursion relations. The formula is patterned after one recently obtained for all tree…

High Energy Physics - Theory · Physics 2009-07-30 J. M. Drummond , M. Spradlin , A. Volovich , C. Wen

We uncover a relation between the scattering amplitudes of massive strings and the $\alpha'$ expansion of the massless string amplitude at tree level. More precisely, the n-point tree amplitude of n-1 massless and one massive state is…

High Energy Physics - Theory · Physics 2023-11-22 Sitender Pratap Kashyap , Carlos R. Mafra , Mritunjay Verma , Luis Alberto Ypanaqué

We show that all tree-level amplitudes in $\varphi^p$ scalar field theory can be represented as the $\alpha'\to0$ limit of an $SL(2,R)$-invariant, string-theory-like dual model integral. These dual models are constructed according to…

High Energy Physics - Theory · Physics 2017-01-04 Christian Baadsgaard , N. E. J. Bjerrum-Bohr , Jacob L. Bourjaily , Poul H. Damgaard

In this work we report on recent progress in the calculation of open superstring scattering amplitudes, at tree level, with more than four external massless states. We also report on the corresponding terms in the low energy effective…

High Energy Physics - Theory · Physics 2008-11-26 L. A. Barreiro , R. Medina

We evaluate one-loop open-string amplitudes at finite $\alpha'$ for the first time. Our method involves a deformation of the integration contour over the modular parameter $\tau$ to a fractal contour introduced by Rademacher in the context…

High Energy Physics - Theory · Physics 2023-09-27 Lorenz Eberhardt , Sebastian Mizera

In this thesis, we study the properties of String theory amplitudes within the framework of Intersection Theory (IT) for twisted (co)homology, which, as recently proposed, offered a novel approach to analyze relations between scattering…

High Energy Physics - Theory · Physics 2024-03-18 Anthony Massidda

We show that associativity of the tree-level OPE in a celestial CFT imposes constraints on the coupling constants of the corresponding bulk theory. These constraints are the same as those derived in arXiv:2111.11356 from the Jacobi identity…

High Energy Physics - Theory · Physics 2022-09-14 Lecheng Ren , Marcus Spradlin , Akshay Yelleshpur Srikant , Anastasia Volovich

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 investigate gauge invariant operators corresponding to on-shell closed string states in open string field theory. Using both oscillator representation and conformal mapping techniques, we calculate a two closed string tachyon amplitude…

High Energy Physics - Theory · Physics 2009-11-10 Tomohiko Takahashi , Syoji Zeze

We derive fully covariant expressions for all two-point scattering amplitudes of two massless closed strings from a Dirichlet $p$-brane. This construction relies on the observation that there is a simple relation between these D-brane…

High Energy Physics - Theory · Physics 2009-10-30 Mohammad R. Garousi , Robert C. Myers

We investigate the tree-level S-matrix in gauge theories and open superstring theory with several soft particles. We show that scattering amplitudes with two or three soft gluons of non-identical helicities behave universally in the limit,…

High Energy Physics - Theory · Physics 2015-07-31 Anastasia Volovich , Congkao Wen , Michael Zlotnikov

We extend an earlier proposal for a gauge invariant description of off-shell open strings (at tree level), using loop variables, to off-shell closed strings (at tree level). The basic idea is to describe the closed string amplitudes as a…

High Energy Physics - Theory · Physics 2009-11-10 B. Sathiapalan

We investigate massless n-point one-loop amplitudes of the open RNS superstring with two external fermions and determine their worldsheet integrands. The contributing correlation functions involving spin-1/2 and spin-3/2 operators from the…

High Energy Physics - Theory · Physics 2018-06-21 Seungjin Lee , Oliver Schlotterer

We consider, in a string theory framework, physical processes of phenomenological interest in models with a low string scale. The amplitudes we study involve tree-level virtual gravitational exchange, divergent in a field-theoretical…

High Energy Physics - Theory · Physics 2011-07-19 E. Dudas , J. Mourad

We reconsider the two-point string scattering amplitudes of massless Neveu-Schwarz--Neveu-Schwarz states of Type IIB orientifold superstring theory on the disk and projective plane in ten dimensions and analyse its $\alpha'$ expansion. We…

High Energy Physics - Theory · Physics 2020-12-02 Alice Aldi , Maurizio Firrotta

We consider matrix models exhibiting open-closed string duality in two-dimensional string theories with various amounts of supersymmetry. In particular, a relationship between matrix models in the $\beta = 2$ Wigner-Dyson class and models…

High Energy Physics - Theory · Physics 2024-04-26 Ashton Lowenstein

Utilizing the idea of extra large dimensions, it has been suggested that the gauge and gravity couplings unification can happen at a scale as low as 1 TeV. In this paper, we explore this phenomenological possibility within string theory. In…

High Energy Physics - Theory · Physics 2009-10-31 Gary Shiu , S. -H. Henry Tye
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