Integrability in SFT and new representation of dispersionless KP taufunction
Abstract
We are investigating the properties of vacuum and boundary states in the CFT of free bosons under the conformal transformation. We show that transformed vacuum (boundary state) is given in terms of taufunctions of dispersionless KP (Toda) hierarchies. Applications of this approach to string field theory is considered. We recognize in Neumann coefficients the matrix of second derivatives of taufunction of dispersionless KP and identify surface states with the conformally transformed vacuum of free field theory.
 Publication:

Journal of High Energy Physics
 Pub Date:
 March 2003
 DOI:
 10.1088/11266708/2003/03/027
 arXiv:
 arXiv:hepth/0211010
 Bibcode:
 2003JHEP...03..027B
 Keywords:

 String Field Theory Integrable Hierarchies;
 High Energy Physics  Theory;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 25 pp, LaTeX, reference added in the Section 3.1