Virasoro action on imaginary Verma modules and the operator form of the KZ-equation

DOI10.1007/s11005-012-0580-7zbMath1281.17026arXiv1112.5361OpenAlexW1992000825MaRDI QIDQ1928842

Renato A. Martins, Vyacheslav M. Futorny, Ben L. Cox

Publication date: 4 January 2013

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5361

zbMATH Keywords

differential operatorVirasoro algebraVerma moduleKZ-equation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Affine Kac-Moody algebras and semi-infinite flag manifolds
• Fock space realizations of imaginary Verma modules
• Structure of intermediate Wakimoto modules
• Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra
• Representations of affine Kac-Moody algebras, bosonization and resolutions
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• Verma modules induced from nonstandard Borel subalgebras
• Intermediate Wakimoto modules for affine
• Imaginary Verma Modules for Affine Lie Algebras

This page was built for publication: Virasoro action on imaginary Verma modules and the operator form of the KZ-equation