Hyperbolization of affine lie algebras / Kaiwen Sun, Haowu Wang, Brandon Williams.

Format:

Book

Author/Creator:

Sun, Kaiwen, author.

Wang, Haowu, author.

Williams, Brandon, author.

Series:

Memoirs of the American Mathematical Society ; vol. 320, number 1627.

Memoirs of the American Mathematical Society, 0065-9266 ; volume 320, number 1627

Language:

English

Subjects (All):

Lie algebras.

Root systems (Algebra).

Differential equations, Hyperbolic.

Physical Description:

vii, 106 pages ; 26 cm.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2026.

Contents:

Chapter 1. Introduction

Chapter 2. Preliminaries

Chapter 3. The hyperbolization of affine Kac-Moody algebras

Chapter 4. Root systems associated with reflective Borcherds products of singular weight

Chapter 5. The classification of affine Lie algebras with hyperbolizations

Chapter 6. The antisymmeric case: holomorphic CFTs of central charge 24

Chapter 7. The symmetric case: holomorphic SCFTs of central charge 12

Chapter 8. The symmetric case: four exotic CFTs

Chapter 9. The 12 symmetric cases: the construction as additive lifts

Chapter 10. Fourier expansions of singular-weight reflective Borcherds products

Chapter 11. The classification of anti-symmetric root systems

Chapter 12. The classification of symmetric root systems

Chapter 13. Application: anti-symmetric Siegel paramodular forms of weight 3

Chapter 14. Remarks, questions and conjectures

Chapter 15. Long tables

Bibliography.

Notes:

'April 2026, Volume 320, Number 1627 (first of 7 numbers)' -- Cover.

Includes bibliographical references (pages 101-106).

ISBN:

1470484374

9781470484378

OCLC:

1596666820