Spectral Curves are Transcendental

2018/12/28 by H. W. Braden, Braden, H. W.
Computer Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Coding theory and cryptography #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1812.11093

openalex publication_date 2018/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some arithmetic properties of spectral curves are discussed: the spectral curve, for example, of a charge n≥2 Euclidean BPS monopole is not defined over ℚ if smooth.

Related

• Monopoles, Curves and Ramanujan
• Refined BPS structures and topological recursion - the Weber and Whittaker curves
• N=1 Curve
• The spectral curve of segmented strings
• Spectral curves of N=1 theories of class S_k