On the gl(11) WessZuminoWitten model
Abstract
We continue the study of the gl(11) WessZuminoWitten model. The KnizhnikZamolodchikov equations for the one, two, three and four point functions are analyzed, for vertex operators corresponding to typical and projective representations. We demonstrate their interplay with the logarithmic global conformal Ward identities. We compute the four point function for one projective and three typical representations. Three coupled first order KnizhnikZamolodchikov equations are integrated consecutively in terms of generalized hypergeometric functions, and we assemble the solutions into a local correlator. Moreover, we prove crossing symmetry of the four point function of four typical representations at generic momenta. Throughout, the map between the gl(11) WessZuminoWitten model and symplectic fermions is exploited and extended.
 Publication:

Journal of High Energy Physics
 Pub Date:
 May 2017
 DOI:
 10.1007/JHEP05(2017)057
 arXiv:
 arXiv:1701.01016
 Bibcode:
 2017JHEP...05..057T
 Keywords:

 Conformal Field Models in String Theory;
 Conformal Field Theory;
 AdSCFT Correspondence;
 High Energy Physics  Theory
 EPrint:
 37 pages