From WZW models to modular functors

E.J.N. Looijenga

From WZW models to modular functors

E.J.N. Looijenga

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

Abstract

In this survey paper we give a relatively simple and coordinate free description of the WZW model as a local system whose base is the Gm-bundle associated to the determinant bundle on the moduli stack of pointed curves. We derive its main properties and show how it leads to a modular functor in the spirit of Segal. The approach presented here is almost purely algebro-geometric in character; it avoids the Boson-Fermion correspondence, operator product expansions as well as Teichm¨uller theory.

Original language	English
Title of host publication	Handbook of Moduli II
Editors	G. Farkas, I. Morrison
Place of Publication	Boston
Publisher	International Press
Pages	427-466
Number of pages	594
ISBN (Print)	978-1-57146-258-9
Publication status	Published - 2013

Publication series

Name	Advanced Lectures in Mathematics
Number	25

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AB - In this survey paper we give a relatively simple and coordinate free description of the WZW model as a local system whose base is the Gm-bundle associated to the determinant bundle on the moduli stack of pointed curves. We derive its main properties and show how it leads to a modular functor in the spirit of Segal. The approach presented here is almost purely algebro-geometric in character; it avoids the Boson-Fermion correspondence, operator product expansions as well as Teichm¨uller theory.

M3 - Chapter

SN - 978-1-57146-258-9

T3 - Advanced Lectures in Mathematics

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EP - 466

BT - Handbook of Moduli II

A2 - Farkas, G.

A2 - Morrison, I.

PB - International Press

CY - Boston

ER -

From WZW models to modular functors

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