Corpus ID: 237048140

The exact SL(K+3,C) symmetry of string theory

  title={The exact SL(K+3,C) symmetry of string theory},
  author={Sheng-Hong Lai and Jen-Chi Lee and Yi Yang},
  • Sheng-Hong Lai, Jen-Chi Lee, Yi Yang
  • Published 13 August 2021
  • Physics
Abstract By using on-shell recursion relation of string scattering amplitudes (SSA), we show that all npoint SSA of the open bosonic string theory can be expressed in terms of the Lauricella functions. This result extends the previous exact SL(K+3,C) symmetry of the 4-point Lauricella SSA (LSSA) of three tachyons and one arbitrary string states to the whole tree-level open bosonic string theory. 


The SL(K+3,C) symmetry of the bosonic string scattering amplitudes
Abstract We discover that the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string theory can beExpand
Solving all 4-point correlation functions for bosonic open string theory in the high-energy limit
We study the implication of decoupling zero-norm states in the high-energy limit, for the 26dimensional bosonic open string theory. Infinitely many linear relations among 4-point functions areExpand
New symmetries of higher spin states in string theory
Abstract The four physical propagating states with “spins” up to six of the second massive level of the closed bosonic string are found to form a large gauge multiplet. This is demonstrated by theExpand
A Relation Between Tree Amplitudes of Closed and Open Strings
We derive a formula which expresses any closed string tree amplitude in terms of a sum of the products of appropriate open string tree amplitudes. This formula is applicable to the heterotic stringExpand
High-energy symmetries of string theory.
  • Gross
  • Physics, Medicine
  • Physical review letters
  • 1988
By means of a recent analysis of the high-energy limit of string scattering, linear relations between string scattering amplitudes are derived. These are shown to hold order by order in perturbationExpand
On-shell recursion in string theory
We prove that all open string theory disc amplitudes in a flat background obey Britto-Cachazo-Feng-Witten (BCFW) on-shell recursion relations, up to a possible reality condition on a kinematicExpand
A note on on-shell recursion relation of string amplitudes
A bstractIn the application of on-shell recursion relation to string amplitudes, one challenge is the sum over infinite intermediate on-shell string states. In this note, we show how to sum theseExpand
BCFW recursion relations and string theory
We demonstrate that all tree-level string theory amplitudes can be computed using the BCFW recursion relations. Our proof utilizes the pomeron vertex operator introduced by Brower, Polchinski,Expand
High-energy zero-norm states and symmetries of string theory.
High-energy limit of zero-norm states in the old covariant first quantized spectrum of the 26D open bosonic string is used to derive infinitely many linear relations among the leading high-energy, fixed-angle behavior of four-point functions of different string states. Expand
String Theory Beyond the Planck Scale
Abstract The high-energy behavior of string scattering amplitudes is studied to all orders in perturbation theory, with the aim of exploring the short-distance structure of string theory. It is shownExpand