Light-cone String Theory Research Articles

The dressing factor and crossing equations

We utilize the DHM integral representation for the BES dressing factor of the world-sheet S-matrix of the AdS5 × S5 light-cone string theory, and the crossing equations to fix the principal branch of the dressing factor on the rapidity torus. The results obtained are further used, in conjunction with the fusion procedure, to determine the bound state dressing factor of the mirror theory. We convincingly demonstrate that the mirror bound state S-matrix found in this way does not depend on the internal structure of a bound state solution employed in the fusion procedure. This welcome feature is in perfect parallel to string theory, where the corresponding bound state S-matrix has no bearing on bound state constituent particles as well. The mirror bound state S-matrix we found provides the final missing piece in setting up the TBA equations for the AdS5 × S5 mirror theory.

The bound state S-matrix for [formula omitted] superstring

We determine the S-matrix that describes scattering of arbitrary bound states in the light-cone string theory in AdS 5 × S 5 . The corresponding construction relies on the Yangian symmetry and the superspace formalism for the bound state representations. The basic analytic structure supporting the S-matrix entries turns out to be the hypergeometric function F 3 4 . We show that for particular bound state numbers it reproduces all the scattering matrices previously obtained in the literature. Our findings should be relevant for the TBA and Lüscher approaches to the finite-size spectral problem. They also shed some light on the construction of the universal R-matrix for the centrally-extended psu ( 2 | 2 ) superalgebra.

A triangulation of moduli space from light-cone string theory

We show that scattering diagrams for closed strings in light-cone string theory provide a single cover of the moduli space of Riemann surfaces.