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Chiral differential operators on abelian varieties

2012/11/21 by Fyodor Malikov, Malikov, Fyodor, Vadim Schechtman +1
Computer Science · Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation #math.AG

paper · pdf · doi:10.48550/arxiv.1211.4931

The paper is dedicated to Igor Frenkel on his birthday

arxiv created 2012/11/21 · openalex publication_date 2012/11/21 · arxiv updated 2012/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper consists of two parts. In the first, we describe a way of getting from an algebra of chiral differential operators (cdo) on an abelian variety a cdo on the dual variety. The second is an introduction to the sigma-model on a torus and to the Wess-Zumino-Witten model from the cdo perspective.

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