Generalized Kähler geometry and current algebras in classical N=2 superconformal WZW model
Abstract
I examine the Generalized Kähler (GK) geometry of classical N = (2, 2) superconformal WZW model on a compact group and relate the rightmoving and leftmoving KacMoody superalgebra currents to the GK geometry data using biholomorphic gerbe formulation and Hamiltonian formalism. It is shown that the canonical Poisson homogeneous space structure induced by the GK geometry of the group manifold is crucial to provide N = (2, 2) superconformal σmodel with the KacMoody superalgebra symmetries. Then, the biholomorphic gerbe geometry is used to prove that KacMoody superalgebra currents are globally defined.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 April 2018
 DOI:
 10.1142/S0217751X18500653
 arXiv:
 arXiv:1801.05184
 Bibcode:
 2018IJMPA..3350065P
 Keywords:

 Conformal field theory;
 superstring compactification;
 11.25.Hf;
 11.25.Ms;
 11.25.Wx;
 Conformal field theory algebraic structures;
 String and brane phenomenology;
 High Energy Physics  Theory
 EPrint:
 LaTex, 17 pages