Published July 1990 | Version v1
Journal article

Quantum group structure in the Fock space resolutions of sl(n) representations

  • 1. Massachusetts Inst. of Tech., Cambridge (USA). Dept. of Physics
  • 2. Massachusetts Inst. of Tech., Cambridge (USA). Center for Theoretical Physics
  • 3. Brandeis Univ., Waltham, MA (USA). Dept. of Physics
  • 4. University of Southern California, Los Angeles (USA). Dept. of Physics

Description

We describe a complex of Wakimoto-type Fock space modules for the affine Kac-Moody algebra sl(n). The intertwining operators that build the complex are obtained from contour integrals of so-called screening operators. We show that a quantum group structure underlies the algebra of screening operators. This observation greatly facilitates the explicit determination of the intertwiners. We conjecture that the complex provides a resolution of an irreducible highest weight module in terms of Fock spaces. (orig.)

Additional details

Publishing Information

Journal Title
Communications in Mathematical Physics
Journal Volume
131
Journal Issue
1
Series
Commun. Math. Phys.
Journal Page Range
125-155
ISSN
0010-3616
CODEN
CMPHA

Optional Information