Classification of finite irreducible conformal modules for K4′-Reference-Cited by-同舟云学术

Classification of finite irreducible conformal modules for K4′

Published:2022-09-01 Issue:9 Volume:63 Page:091701
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:J. Math. Phys.

Author:

Bagnoli Lucia¹^ORCID,Caselli Fabrizio¹^ORCID

Affiliation:

1. Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy

Abstract

We classify finite irreducible modules over the conformal superalgebra [Formula: see text] by their correspondence with finite conformal modules over the associated annihilation superalgebra [Formula: see text]. This is achieved by a complete classification of singular vectors in generalized Verma modules for [Formula: see text]. We also show that morphisms between generalized Verma modules can be arranged in infinitely many bilateral complexes.

Funder

Horizon 2020

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0098441

Reference23 articles.

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2. Conformal modules

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