Abstract
For the case of two particles a solution of the string field theory vertex axioms can be factorized into a standard form factor and a kinematical piece which includes the dependence on the size of the third string. In this paper we construct an exact solution of the kinematical axioms for AdS5xS5 which includes all order wrapping corrections w.r.t. the size of the third string. This solution is expressed in terms of elliptic Gamma functions and ordinary elliptic functions. The solution is valid at any coupling and we analyze its weak coupling, pp-wave and large L limit.
Highlights
In [2] a different approach was developed explicitly geared towards the computation of OPE coefficients in N = 4 SYM
For the case of two particles a solution of the string field theory vertex axioms can be factorized into a standard form factor and a kinematical piece which includes the dependence on the size of the third string
The finite L solution of the String Field Theory (SFT) vertex axioms should at once resum an infinite set of wrapping corrections and should provide some helpful information for the hexagon gluing procedure
Summary
R and s labels the three strings in figure 1, a+n (r) are the corresponding creation operators for excitations of mode number n on string #r, while the numerical coefficients Nnrms are the so-called Neumann coefficients. In this case the functional equations will only depend explicitly on the particles in strings #2 and #3, so we can use a shorthand notation. We will normalize our formulas by setting N,L = 1 Solving these axioms with nontrivial nondiagonal S-matrix does not seem a-priori simple, in the special case of two particles we can look for a solution of the form. These are exactly the axioms satisfied by the (decompactified) pp-wave Neumann coefficients which are explicitly known. In the relativistic case the problem of finding a solution of the vertex axioms with two particles only reduces to finding ordinary form factors satisfying the additional condition (2.12). Let us consider a completely general solution N,L(θ1, θ2)i1,i2 of the two particle SFT axioms (2.6)–(2.8). Our solution will provide a minimal L dependent solution of the SFT axioms
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
