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Related papers: Relations Between Closed String Amplitudes at High…

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KLT relations on $S_2$ factorize closed string amplitudes into product of open string tree amplitudes. The field theory limits of KLT factorization relations hold in minimal coupling theory of gauge field and gravity. In this paper, we…

High Energy Physics - Theory · Physics 2010-04-30 Yi-Xin Chen , Yi-Jian Du , Qian Ma

In this text we review various relations between building blocks of closed and open string amplitudes at tree-level and genus one. We explain that KLT relations between tree-level closed and open string amplitudes follow from the…

High Energy Physics - Theory · Physics 2021-01-22 Pierre Vanhove , Federico Zerbini

We study massless open and closed string scattering amplitudes in flat space at high energies. Similarly to the case of AdS space, we demonstrate that, under the T-duality map, the open string amplitudes are given by the exponential of…

High Energy Physics - Theory · Physics 2015-05-30 Pawel Caputa , Shinji Hirano

This paper investigates the relationships between closed and mixed string amplitudes at the tree level in string theory. Through the analytic continuation of complex variables, we establish a factorization of closed string amplitudes into…

High Energy Physics - Theory · Physics 2024-02-09 Aphiwat Yuenyong , Pongwit Srisangyingcharoen

We express one-loop closed string amplitudes as weighted sums over squares of open string one-loop subamplitudes. These findings generalize - subject to final complex structure modulus integration - the celebrated tree-level relationships…

High Energy Physics - Theory · Physics 2023-07-11 S. Stieberger

We uncover a Kawai-Lewellen-Tye (KLT)-type factorization of closed string amplitudes into open string amplitudes for closed string states carrying winding and momentum in toroidal compactifications. The winding and momentum closed string…

High Energy Physics - Theory · Physics 2021-08-06 Jaume Gomis , Ziqi Yan , Matthew Yu

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

We express one-loop string amplitudes involving both open and closed strings as sum over pure open string amplitudes. These findings generalize the analogous tree-level result to higher loops and extend the tree-level observation that in…

High Energy Physics - Theory · Physics 2022-02-10 S. Stieberger

We discuss relations between closed and open string amplitudes at one-loop. While at tree-level these relations are known as Kawai-Lewellen-Tye (KLT) and/or double copy relations, here we investigate how such relations are manifested at…

High Energy Physics - Theory · Physics 2024-05-03 S. Stieberger

We establish a relation between disk amplitudes involving N_o open and N_c closed strings and disk amplitudes with only N_o+2N_c open strings. This map, which represents a sort of generalized KLT relation on the disk, reveals important…

High Energy Physics - Theory · Physics 2015-03-13 S. Stieberger

We study consequences of the Kawai-Lewellen-Tye (KLT) relations applied to tree amplitudes in toroidal compactifications of string theory to four dimensions. The closed string tree amplitudes with massless external states respect a global…

High Energy Physics - Theory · Physics 2010-11-08 Henriette Elvang , Michael Kiermaier

In this note, it is shown that closed string graviton scattering amplitudes obey the same subleading soft limit as field theory graviton scattering amplitudes. The result is derived using a combination of recent results and methods…

High Energy Physics - Theory · Physics 2014-11-26 Burkhard U. W. Schwab

We compute the two-point open string and closed string amplitudes at tree level and show that, in a 't Hooft-like limit, they take a form structurally analogous to boundary-to-boundary transition amplitudes of a scalar field in Euclidean…

High Energy Physics - Theory · Physics 2025-07-09 Pongwit Srisangyingcharoen , Jongruk Pukdee

Open string amplitudes at tree level have been studied for over fifty years, but there is no known analytic form for general $n$-point amplitudes, and their conventional representation in terms of worldsheet integrals does not make many of…

High Energy Physics - Theory · Physics 2025-04-23 Nima Arkani-Hamed , Carolina Figueiredo , Grant N. Remmen

We study the scattering amplitudes of massive Kaluza-Klein (KK) states of open and closed bosonic strings under toroidal compactification. We analyze the structure of vertex operators for the KK strings and derive an extended massive…

High Energy Physics - Theory · Physics 2022-03-04 Yao Li , Yan-Feng Hang , Hong-Jian He , Song He

We calculate the absorption amplitudes of a closed string state at arbitrary mass level leading to two open string states on the D-brane at high energies. As in the case of Domain-wall scattering we studied previously, this process contains…

High Energy Physics - Theory · Physics 2008-11-26 Jen-Chi Lee , Yi Yang

We re-examine a closed-string model defined by altering the boundary conditions for one handedness of two-dimensional propagators in otherwise-standard string theory. We evaluate the amplitudes using Kawai-Lewellen-Tye factorization into…

High Energy Physics - Theory · Physics 2016-10-12 Yu-tin Huang , Warren Siegel , Ellis Ye Yuan

We revisit the relations between open and closed string scattering amplitudes discovered by Kawai, Lewellen, and Tye (KLT). We show that they emerge from the underlying algebro-topological identities known as the twisted period relations.…

High Energy Physics - Theory · Physics 2017-08-25 Sebastian Mizera

Two-point tree-level amplitudes in bosonic closed string theory are described by a correlation function within the BRST formalism, which respects manifest Lorentz and conformal invariance. In the derivation of the two-point amplitudes, we…

High Energy Physics - Theory · Physics 2024-02-13 Isao Kishimoto , Shigenori Seki , Tomohiko Takahashi

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
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