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We calculate high energy massive scattering amplitudes of closed bosonic string compactified on the torus. We obtain infinite linear relations among high energy scattering amplitudes. For some kinematic regimes, we discover that some linear…

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

We calculate high energy massive string scattering amplitudes of open bosonic string in the Regge regime (RR). We found that the number of high energy amplitudes for each fixed mass level in the RR is much more numerous than that of Gross…

High Energy Physics - Theory · Physics 2009-06-29 Sheng-Lan Ko , Jen-Chi Lee , Yi Yang

The symmetries of string theory on ${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{T}^4$ at the dual of the symmetric product orbifold point are described by a so-called Higher Spin Square (HSS). We show that the massive string spectrum in…

High Energy Physics - Theory · Physics 2016-10-12 Matthias R Gaberdiel , Rajesh Gopakumar

We calculate, using the group theoretic approach to string theory, the tree and one loop scattering of four open and closed arbitrary bosonic string states. In the limit of high energy, but fixed angle, the multi-string vertex at tree and…

High Energy Physics - Theory · Physics 2008-11-26 Nicolas Moeller , Peter West

High energy fixed angle scattering is studied in matrix string theory. The saddle point world sheet configurations, which give the dominant contributions to the string theory amplitude, are taken as classical backgrounds in matrix string…

High Energy Physics - Theory · Physics 2009-10-31 Thomas Wynter

We calculate explicitly residues of all n-point Koba-Nielsen (KN) amplitudes by using on-shell recursion relation of string scattering amplitudes (SSA). In addition, we show that the residues of all SSA including the KN amplitudes can be…

High Energy Physics - Theory · Physics 2021-11-17 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We calculate high-energy massive string scattering amplitudes of compactified open string. We derive infinite linear relations, or stringy symmetries, among soft high-energy string scattering amplitudes of different string states in the…

High Energy Physics - Theory · Physics 2010-12-15 Jen-Chi Lee , Tomohisa Takimi , Yi Yang

Motivated by the desire to understand chaos in the $S$-matrix of string theory, we study tree level scattering amplitudes involving highly excited strings. While the amplitudes for scattering of light strings have been a hallmark of string…

High Energy Physics - Theory · Physics 2021-06-18 David J. Gross , Vladimir Rosenhaus

We consider high-energy fixed-angle scattering of glueballs in confining gauge theories that have supergravity duals. Although the effective description is in terms of the scattering of strings, we find that the amplitudes are hard (power…

High Energy Physics - Theory · Physics 2009-10-09 Joseph Polchinski , Matthew J. Strassler

Twistor string models have been known for more than a decade now but have come back under the spotlight recently with the advent of the scattering equation formalism which has greatly generalized the scope of these models. A striking…

High Energy Physics - Theory · Physics 2018-03-21 Eduardo Casali , Piotr Tourkine

We propose a systematic approximation scheme to calculate general $n$-point $HSSA$ of open bosonic string theory. This stringy scaling loop expansion contains finite number of vacuum diagram terms at each loop order of scattering energy due…

High Energy Physics - Theory · Physics 2025-10-22 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

In these lecture notes, we take a closer look at the calculation of scattering amplitudes for the bosonic string. It is believed that string theories form the UV completions of (super)gravity theories. Support for this claim can be found in…

High Energy Physics - Theory · Physics 2010-11-03 Wieland Staessens , Bert Vercnocke

We make an ansatz for the Mellin representation of the four-point amplitude of half-BPS operators of arbitrary charges at order $\lambda^{-\frac{5}{2}}$ in an expansion around the supergravity limit. Crossing symmetry and a set of…

High Energy Physics - Theory · Physics 2023-08-14 J. M. Drummond , H. Paul , M. Santagata

We discover an infinite number of recurrence relations among Regge string scattering amplitudes \cite{bosonic,RRsusy} of different string states at arbitrary mass levels in the open bosonic string theory. As a result, all Regge string…

High Energy Physics - Theory · Physics 2015-06-12 Jen-Chi Lee , Yoshihiro Mitsuka

We calculate n-point hard string scattering amplitudes (HSSA) with n-2 tachyons and 2 tensor states at arbitrary mass levels. We discover the stringy scaling behavior of these HSSA. It is found that for HSSA with more than 2 transverse…

High Energy Physics - Theory · Physics 2025-03-05 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We calculate high energy massive scattering amplitudes of closed bosonic string compactified on the torus. For each fixed mass level with given quantized and winding momenta ((m/R),(1/2)nR), we obtain infinite linear relations among high…

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

We show that string theories admit chiral infinite tension analogues in which only the massless parts of the spectrum survive. Geometrically they describe holomorphic maps to spaces of complex null geodesics, known as ambitwistor spaces.…

High Energy Physics - Theory · Physics 2015-06-17 Lionel Mason , David Skinner

Previous work has shown that massless tree amplitudes of the type I and IIA/B superstrings can be dramatically simplified by expressing them as double copies between field-theory amplitudes and scalar disk/sphere integrals, the latter…

High Energy Physics - Theory · Physics 2018-11-14 Thales Azevedo , Marco Chiodaroli , Henrik Johansson , Oliver Schlotterer

The high-energy limit of stringy symmetries, derived from the decoupling of two types of zero-norm states in the old covariant first quantized (OCFQ) spectrum of open bosonic string, are used to reproduce Gross's linear relations among…

High Energy Physics - Theory · Physics 2007-05-23 Jen-Chi Lee

In previous works, ratios among four-point scattering amplitudes at the leading order in the high-energy limit were derived for the bosonic open string theory. The derivation was based on Ward identities derived from the decoupling of…

High Energy Physics - Theory · Physics 2010-04-05 Chuan-Tsung Chan , Pei-Ming Ho , Jen-Chi Lee , Shunsuke Teraguchi , Yi Yang