The supersymmetry index and the construction of modular invariants
type: Item
instance of: scholarly article
title: The supersymmetry index and the construction of modular invariants
zbMATH Open document ID: 0712.17021
DOI: 10.1007/BF02099882
published in: Communications in Mathematical Physics
publication date: 1990-01-01T00:00:00Z
review text: Let G be a rank \(\ell\) semisimple Lie group whose Lie algebra is used to construct a Kac-Moody algebra [\textit{V. G. Kac}, Infinite dimensional Lie algebras (1985; Zbl 0574.17010)]. An identity derived in a previous paper for any supersymmetric coset model [\textit{W. Lerche}, \textit{C. Vafa}, and the author, Nucl. Phys. B 324, 427-474 (1989)] is applied here in order to study the modular properties of affine G-characters via the modular properties of the affine characters of rank \(\ell\) semisimple subgroups of G (except possibly for U(1) factors). Applications of this relationship are then given; in particular, an algorithm for generating modular invariant combinations of affine G-characters and a way to classify modular invariants of affine G-representations.
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 81R10
Mathematics Subject Classification ID: 22E65
zbMATH DE Number: 4171184
zbMATH Keywords: affine representation
zbMATH Keywords: Kac-Moody algebra
zbMATH Keywords: supersymmetric coset model
zbMATH Keywords: affine characters
zbMATH Keywords: modular invariants
author: Nicholas P. Warner
MaRDI profile type: Publication
cites work: Quantum field theories in one and two dimensions
cites work: Lattices and strings
cites work: Q3693672
cites work: Kac-Moody algebras, conformal symmetry and critical exponents
cites work: Modular invariant partition functions in two dimensions
cites work: Modular invariance and discrete torsion on orbifolds
description: scientific article; zbMATH DE number 4171184