Twisted non-Abelian determinants on Riemann supersurfaces
type: Item
instance of: scholarly article
title: Twisted non-Abelian determinants on Riemann supersurfaces
zbMATH Open document ID: 0704.58008
DOI: 10.1007/BF01219199
author: Kenichiro Aoki
author: Vipul Periwal
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: The authors of this paper calculate the superdeterminants of twisted Laplacians acting on tensors of arbitrary weight on hyperbolic surfaces. These describe the partition function of spinning strings on arbitrary orbifolds of Euclidean space. Simple expressions are found for the dimensions of the twist fields that correspond to such orbifolds by studying the generation behaviour of the determinants at the boundary of moduli space.
Mathematics Subject Classification ID: 58C50
Mathematics Subject Classification ID: 81Q60
Mathematics Subject Classification ID: 81R25
Mathematics Subject Classification ID: 81T30
zbMATH DE Number: 4155483
zbMATH Keywords: Riemann supersurfaces
zbMATH Keywords: superdeterminants
zbMATH Keywords: twisted Laplacians
reviewed by: Giuseppe Arca
MaRDI profile type: Publication
cites work: Heat kernels and super-determinants of Laplace operators on super-Riemann surfaces
cites work: A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings
cites work: An approach to the Selberg trace formula via the Selberg zeta-function
cites work: Determinants of Laplacians in real linear bundles connected with quantum geometry of strings
cites work: Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces
full work available at URL: https://doi.org/10.1007/bf01219199
OpenAlex ID: W2091892980
description: scientific article; zbMATH DE number 4155483