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The traditional formulation of string amplitudes via worldsheet integrals provides a parametrization of the moduli space that fails to expose the complete singularity structure of the amplitudes. This problem is solved by the positive…

High Energy Physics - Theory · Physics 2025-12-02 Carolina Figueiredo , Marcos Skowronek

We find marginal and scalar solutions in cubic open string field theory by using left-right splitting properties of a delta function. The marginal solution represents a marginal deformation generated by a U(1) current, and it is a…

High Energy Physics - Theory · Physics 2009-11-07 Tomohiko Takahashi , Seriko Tanimoto

We study higher level Regge resonances of open superstrings, focusing on the universal part of the Neveu-Schwarz sector common to all D-brane realizations of the standard model. For Regge states with masses far above the fundamental string…

High Energy Physics - Theory · Physics 2011-12-13 Wan-Zhe Feng , Tomasz R. Taylor

It is well known that under a BCFW-deformation, there is a boundary contribution when the amplitude scales as O(1) or worse. We show that boundary contributions have a similar recursion relation as scattering amplitude. Just like the BCFW…

High Energy Physics - Theory · Physics 2015-05-04 Qingjun Jin , Bo Feng

I give an overview of open, closed and heterotic N=2 strings. At the tree level I derive the effective field theories of all the strings, and discuss the group theory of the N=2 open string and the interaction between its open and closed…

High Energy Physics - Theory · Physics 2008-02-03 Neil Marcus

The complete form of the amplitude of one closed string Ramond-Ramond (RR), two fermionic strings and one scalar field in IIB superstring theory has been computed in detail. Deriving $<V_{C}V_{\bar\psi}V_{\psi} V_{\phi}>$ by using suitable…

High Energy Physics - Theory · Physics 2014-01-23 Ehsan Hatefi

In this paper we present the all-loop conjecture for integrands of Wilson line form factors, also known as reggeon amplitudes, in N=4 SYM. In particular we present a new gluing operation in momentum twistor space used to obtain reggeon…

High Energy Physics - Theory · Physics 2018-08-01 A. E. Bolshov , L. V. Bork , A. I. Onishchenko

We study the application of non-trivial relations between gravity tree amplitudes, the bonus relations, to all tree-level amplitudes in N=8 supergravity. We show that the relations can be used to simplify explicit formulae of supergravity…

High Energy Physics - Theory · Physics 2011-02-16 Song He , Dhritiman Nandan , Congkao Wen

We continue our study of the Kawai-Lewellen-Tye (KLT) factorization of winding string amplitudes. In a toroidal compactification, amplitudes for winding closed string states factorize into products of amplitudes for open strings ending on…

High Energy Physics - Theory · Physics 2023-03-29 Ziqi Yan , Matthew Yu

In this paper, we study the tree amplitudes with gluons coupled to gravitons. We first study the relations among the mixed amplitudes. With BCFW on-shell recursion relation, we will show the color-order reversed relation, $U(1)$-decoupling…

High Energy Physics - Theory · Physics 2011-01-27 Yi-Xin Chen , Yi-Jian Du , Bo Feng

We engineer compact contours on the moduli spaces of genus-zero Riemann surfaces that achieve analytic continuation from Euclidean to Lorentzian worldsheets. These generalized Pochhammer contours are based on the combinatorics of…

High Energy Physics - Theory · Physics 2024-09-11 Lorenz Eberhardt , Sebastian Mizera

Recently, tree-level recursion relations for scattering amplitudes of gluons in Yang-Mills theory have been derived. In this note we propose a generalization of the recursion relations to tree-level scattering amplitudes of gravitons. We…

High Energy Physics - Theory · Physics 2007-05-23 Freddy Cachazo , Peter Svrcek

We give a proof of BCFW recursion relations for all tree-level amplitudes of gravitons in General Relativity. The proof follows the same basic steps as in the BCFW construction and it is an extension of the one given for next-to-MHV…

High Energy Physics - Theory · Physics 2009-04-17 Paolo Benincasa , Camille Boucher-Veronneau , Freddy Cachazo

The closed topological vertex is the simplest ``off-strip'' case of non-compact toric Calabi-Yau threefolds with acyclic web diagrams. By the diagrammatic method of topological vertex, open string amplitudes of topological string theory…

Mathematical Physics · Physics 2015-12-10 Kanehisa Takasaki , Toshio Nakatsu

We study two and three-point tree-level amplitudes of open strings. These amplitudes are reduced from higher-point correlation functions by using mostly BRST exact operators for gauge fixing. For simplicity, we focus on an open string…

High Energy Physics - Theory · Physics 2021-09-29 Shigenori Seki , Tomohiko Takahashi

Recently, by using the known structure of one-loop scattering amplitudes for gluons in Yang-Mills theory, a recursion relation for tree-level scattering amplitudes has been deduced. Here, we give a short and direct proof of this recursion…

High Energy Physics - Theory · Physics 2010-04-07 Ruth Britto , Freddy Cachazo , Bo Feng , Edward Witten

We discuss an on-shell approach to pion-nucleon physics that is consistent order by order in a $1/f_{\pi}$ expansion with the chiral reduction formula, crossing, and relativistic unitarity. A number of constraints between the on-shell…

High Energy Physics - Phenomenology · Physics 2009-10-30 James V. Steele , Hidenaga Yamagishi , Ismail Zahed

This thesis investigates correspondences between open and closed strings. This is done on the level of coupled open-closed moduli spaces and from a string field theoretic point of view. The construction of boundary string field theory on…

High Energy Physics - Theory · Physics 2008-12-15 Marco Baumgartl

In this paper, we study loop corrections to the recently proposed new soft theorem of Cachazo-Strominger, for both gravity and gauge theory amplitudes. We first review the proof of its tree-level validity based on BCFW recursion relations,…

High Energy Physics - Theory · Physics 2015-06-19 Song He , Yu-tin Huang , Congkao Wen

We present a new on-shell recursion relation for scattering amplitudes involving Nambu-Goldstone bosons with a gauged unbroken symmetry. A central challenge is that gauge interactions break Adler's zero condition for charged scalars,…

High Energy Physics - Theory · Physics 2025-11-14 Ian Low , Ming-Lei Xiao , Yu-Hui Zheng